Counterpedia · Subject

Wikidata observation

ball

in mathematics, space bounded by a sphere

Observations from Wikidata; separate from governed Counterpedia records. Sources, origins and what has been checked

At a glance

Selected recorded observations. Counterpedia has not independently verified them; inspect the statements for sources and alternative or historical context.

subclass of: hyperball
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279; Statement & references
different from: ball
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889; Statement & references
studied by: solid geometry
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P2579; Statement & references
has part(s): spherical segment
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P527; Statement & references

How these facts are selected

Up to eight distinct properties with readable names and values. One from each available category comes first, then remaining slots follow property category, property code and source order. This keeps names and family details from crowding out work, dates and geography. Media, external identifiers, unnamed targets and statements with incomplete qualifying context stay in the detailed list. The same rule applies to every subject. Context recorded by Wikidata appears beside each selected fact.

Relationships

Outgoing connections are statements about this subject. A connection is not evidence that another subject supports a claim.

different from (P1889): ball
Relationship name unavailable: WikiProject Mathematics
subclass of (P279): hyperball
Relationship name unavailable: volumeRecorded context: Relationship name unavailable: V=\frac{4}{3}\pi r^3This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
described by source (P1343): Desktop Encyclopedic DictionaryRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
subclass of (P279): solid figure
described by source (P1343): Small Brockhaus and Efron Encyclopedic DictionaryRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
different from (P1889): open ball
described by source (P1343): Brockhaus and Efron Encyclopedic DictionaryRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
subclass of (P279): convex set
different from (P1889): sphereRecorded context: Relationship name unavailable: dimensionThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
described by source (P1343): Armenian Soviet Encyclopedia, vol. 3Recorded context: Relationship name unavailable: 252This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.

All projected connections & provider records

You are here

ball

Other entries this record states a relationship to. Follow one to keep moving through the universe.

Identity & relations

hyperball— subclass of (P279)stated relationship
solid figure— subclass of (P279)stated relationship
convex set— subclass of (P279)stated relationship

Other connections

ball— different from (P1889)stated relationship
WikiProject Mathematics— P6104stated relationship
volume— P1552stated relationship
Desktop Encyclopedic Dictionary— described by source (P1343)stated relationship
Small Brockhaus and Efron Encyclopedic Dictionary— described by source (P1343)stated relationship
open ball— different from (P1889)stated relationship
Brockhaus and Efron Encyclopedic Dictionary— described by source (P1343)stated relationship
sphere— different from (P1889)stated relationship
Armenian Soviet Encyclopedia, vol. 3— described by source (P1343)stated relationship

The original records this observation was assembled from, off Counterpedia.

Wikidata: Q838611 ↗

Keep exploring the surrounding neighborhood.

Explore the ball neighborhood

Assembled from entry read model wikimedia_observation:Q838611, public release sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7. This view is served from published release bytes.

Explore incoming and outgoing relationships →

External identifiers (13)

Identifier lookup links, separate from statement references.

P9322: 0442851-koule
P6366: 122041747
P646: /m/0156sn
P9621: palla
P691: ph386369
P8855: 102-04-44
P8814: 13922097-n
P10283: C122041747
P14534: Metric.ball
P2812: Ball
P2581: 00845677n
P8814: 13921893-n
P4215: ball

Sources and origins

Structured observations: Statements in this view were observed in Wikidata. Their source identifiers and carried history remain available for inspection.
Cited references: Works, URLs and identifiers attached to particular statements. A cited locator is not an independently established support finding. Inspect statement references
Retained evidence: This view carries observation data. It does not supply independently captured copies of the cited documents or establish their custody. Discovering a reference does not register a governed Source Record.
Checks: No completed Check is associated with these statements in this view. Check execution is currently unavailable.

These observations are not governed Counterpedia claims. The origin of an observation can differ from the author or publisher of its cited source.

Validation state

1. In Wikidata
No source identifiers recorded.
2. Lookup route
No source identifiers recorded.
3. Lookup result
No lookup recorded for this page.
4. Saved copy
No saved copy for this page.
5. Fixed version
No fixed source version for this page.
6. Check result
Not checked.

These stages describe what this page can show from governed subject-scoped records. A lookup route does not mean a source was found; a lookup result does not mean bytes were saved; and a saved copy does not mean a fixed source version or a Check result exists.

Research frontier

Ready to investigate

None of the recorded identifier routes is marked routable.

Still unresolved

13 identifier routes and 0 reference hints remain research inputs rather than governed evidence.

Authority boundary

What this page establishes

It establishes what the retained Wikimedia observation contains and what investigation paths Counterpedia can describe from that material.

What it does not establish

A Wikidata statement is not automatically Counterpedia evidence.
A routable identifier is not a captured source.
A captured representation is not automatically a fixed source version.
A fixed source version is not automatically a Check result.
Graph proximity and reference counts are not support or corroboration.
A provider observation and candidate locator do not establish source bytes or support.

Presentation contract

Stage template: counterpedia.reader.profile.v1
Counterpedia composition: counterpedia.product.subject.profile.v1

Statements & recorded references

Open a statement to see the references attached to it. Context can limit when, where or how a statement applies. Recorded source URLs, identifier resolvers and source works describe where Wikidata points; none establishes source support or a completed Check.

Check execution is unavailable in this preview. Exact recorded locators remain available to inspect and open.

different from: ballReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q18545",
  "targetLabel": "ball"
}
```
Relationship name unavailable: WikiProject MathematicsReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P6104
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P6104",
  "targetRef": "Q8487137",
  "targetLabel": "WikiProject Mathematics"
}
```
subclass of: hyperballReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q3776995",
  "targetLabel": "hyperball"
}
```
Relationship name unavailable: volumeReference count not carriedRecorded context: Relationship name unavailable: V=\frac{4}{3}\pi r^3This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P1552
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: V=\frac{4}{3}\pi r^3
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1552",
  "targetRef": "Q39297",
  "targetLabel": "volume",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P2534",
        "datatype": "math",
        "datavalue": {
          "type": "string",
          "value": "V=\\frac{4}{3}\\pi r^3"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
described by source: Desktop Encyclopedic DictionaryReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q63284758",
  "targetLabel": "Desktop Encyclopedic Dictionary",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P805",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q107159430",
            "numeric-id": 107159430
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
image: Blue-sphere.pngReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P18
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P18",
  "literalValue": "Blue-sphere.png"
}
```
Relationship name unavailable: \left\{ \vec{x} : ||\vec{x} - \vec{x_0}||^2 \le r^2 \right\}Reference count not carriedRecorded context: Relationship name unavailable: closed setThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P2534
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: closed set
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P2534",
  "literalValue": "\\left\\{ \\vec{x} :  ||\\vec{x} - \\vec{x_0}||^2 \\le r^2 \\right\\}",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P518",
        "valueLabel": "closed set",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q320357",
            "numeric-id": 320357
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
subclass of: solid figureReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q937946",
  "targetLabel": "solid figure"
}
```
described by source: Small Brockhaus and Efron Encyclopedic DictionaryReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q19180675",
  "targetLabel": "Small Brockhaus and Efron Encyclopedic Dictionary",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P805",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q24714135",
            "numeric-id": 24714135
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
different from: open ballReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q2921739",
  "targetLabel": "open ball"
}
```
described by source: Brockhaus and Efron Encyclopedic DictionaryReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q602358",
  "targetLabel": "Brockhaus and Efron Encyclopedic Dictionary",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P805",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q24503109",
            "numeric-id": 24503109
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: \left\{ \vec{x} : ||\vec{x} - \vec{x_0}||^2 < r^2 \right\}Reference count not carriedRecorded context: Relationship name unavailable: open setThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P2534
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: open set
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P2534",
  "literalValue": "\\left\\{ \\vec{x} :  ||\\vec{x} - \\vec{x_0}||^2 < r^2 \\right\\}",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P518",
        "valueLabel": "open set",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q213363",
            "numeric-id": 213363
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
subclass of: convex setReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q193657",
  "targetLabel": "convex set"
}
```
different from: sphereReference count not carriedRecorded context: Relationship name unavailable: dimensionThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: dimension
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q12507",
  "targetLabel": "sphere",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P1013",
        "valueLabel": "dimension",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q4440864",
            "numeric-id": 4440864
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: sphereReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P4777
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P4777",
  "targetRef": "Q12507",
  "targetLabel": "sphere"
}
```
described by source: Armenian Soviet Encyclopedia, vol. 3Reference count not carriedRecorded context: Relationship name unavailable: 252This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: 252
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q124737616",
  "targetLabel": "Armenian Soviet Encyclopedia, vol. 3",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P304",
        "datatype": "string",
        "datavalue": {
          "type": "string",
          "value": "252"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
different from: SharReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q1295323",
  "targetLabel": "Shar",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P1013",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q24005632",
            "numeric-id": 24005632
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
studied by: solid geometryReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P2579
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P2579",
  "targetRef": "Q207648",
  "targetLabel": "solid geometry"
}
```
has part(s): spherical segmentReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P527
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P527",
  "targetRef": "Q1268902",
  "targetLabel": "spherical segment"
}
```
Relationship name unavailable: surface areaReference count not carriedRecorded context: Relationship name unavailable: S=4\pi r^2This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P1552
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: S=4\pi r^2
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1552",
  "targetRef": "Q1379273",
  "targetLabel": "surface area",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P2534",
        "datatype": "math",
        "datavalue": {
          "type": "string",
          "value": "S=4\\pi r^2"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Commons category: SpheresReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P373
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P373",
  "literalValue": "Spheres"
}
```

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Data and provenance

Wikidata entity IDs are external identifiers, not Counterpedia canonical subject identities. Rendering this page does not mint a governed identity. Release identities and artifact hashes identify the data used for this view; none establishes verification.

Provenance rows: 36
Acquisition repository: thelaplage/counterpedia-acquisition
Acquisition revision: e6add6a4d8e1668a9ac486407e52974724563ce1, 891f24c5cca64aa69b1dc1b2150e991b940171b0
Provider identity · Observation origin: Wikidata · External entity ID: Q838611 on Wikidata ↗
Served release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

No exact claim–source–Check association has been supplied to this page. Recorded references do not establish verification.

graph_membership != truth
graph_edge != support
repeated_identifier != independent_corroboration
projection != admission
Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches.

Carried provenance rows

[
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:a8c626fd7d6a1f82d5ef151e12bb45fea67463a35f8ba06c3604274d76ed04bb",
      "output_file": "identifiers.ndjson",
      "row_index": 835250,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:7ce0182b29a61e78fdabaf0e46142fb51fb9121646facbf32395d0ebfbef891d",
      "output_file": "identifiers.ndjson",
      "row_index": 835244,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
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]

Classification identities

[]

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