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Paper Citation Record · LEDGER

Strength and partition rank under limits and field extensions

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2502.10007.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.10007 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:55:49.872227Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:24:42.706751Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T18:16:11.325831Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved9
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a0d9043-23ea-4c6e-8e4c-afe86170209a · outbound

This paper cites Small subalgebras of polynomial rings and Stillman 's conjecture.

Strength and partition rank under limits and field extensions Small subalgebras of polynomial rings and Stillman 's conjecture

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.792972Z digest=sha256:1f5fe53f05e542d839e6bb8ccc2d513524591ba8d110ffc9e5119e09d762f09a

Observation 6b393b1a-fded-4f65-b079-9b55a34da7a8 · outbound

This paper cites On the Schmidt and analytic ranks for trilinear forms.

Strength and partition rank under limits and field extensions On the Schmidt and analytic ranks for trilinear forms

Reference 2

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no resolver link, observed 2026-08-07T19:55:49.796969Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.796969Z digest=sha256:7cb5cfcf2c12345ab8eedb68b6e0941368ce61604395713189b9ea07376c5f43

Observation f4185fd7-e7a2-4767-806c-128fdc013a94 · outbound

This paper cites The set of forms with bounded strength is not closed.

Strength and partition rank under limits and field extensions The set of forms with bounded strength is not closed

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.800970Z digest=sha256:ae4648dde9095418172911a9ed8b548e99859af76390748ea530f4771c56bfb9

Observation bb9bb0a6-c281-4a93-9376-dd7c6ee81949 · outbound

This paper cites Eggermont.

Strength and partition rank under limits and field extensions Eggermont

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.804949Z digest=sha256:1cca77a2bdd65048e65be7fd067ef8c000e8c9ba2c27c8093c27aec4357240b3

Observation 05e028d8-980e-4af0-8f1c-4e7870c6de09 · outbound

This paper cites The geometry of polynomial representations in positive characteristic.

Strength and partition rank under limits and field extensions The geometry of polynomial representations in positive characteristic

Reference 5

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no resolver link, observed 2026-08-07T19:55:49.808503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.808503Z digest=sha256:119d625f5675434d31df1899f8dba8c30668e5e0dbb4be24c22ffd11ba105e31

Observation 6deaf41e-fee6-4114-9394-209fcc85bc51 · outbound

This paper cites Two improvements in Brauer's theorem on forms.

Strength and partition rank under limits and field extensions Two improvements in Brauer's theorem on forms

Reference 6

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no resolver link, observed 2026-08-07T19:55:49.812512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.812512Z digest=sha256:1471f17d1e0cece1daea401f112422fd9c91c1c42040923199e7b5a44b9b14ef

Observation ab5e1b21-8a0a-47e0-a6d3-d16f40773e6e · outbound

This paper cites Strength is bounded linearly by Birch rank.

Strength and partition rank under limits and field extensions Strength is bounded linearly by Birch rank

Reference 7

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no resolver link, observed 2026-08-07T19:55:49.816793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.816793Z digest=sha256:34fb2361de2a6d83fe1a15fb19b6257ae6407d7898b0db1c14c24a6c48a986a9

Observation 5b57997d-9068-42da-8f0e-0bf8601dafdd · outbound

This paper cites Partition and analytic rank are equivalent over large fields.

Strength and partition rank under limits and field extensions Partition and analytic rank are equivalent over large fields

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.820530Z digest=sha256:f55119ebd6e08b90b2ae016545cce3576c86695fed9288eff17467531484c075

Observation 6073efbc-c56b-4543-a078-dadd09aa4d11 · outbound

This paper cites Stability of ranks under field extensions.

Strength and partition rank under limits and field extensions Stability of ranks under field extensions

Reference 9

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source=arxiv_source observed=2026-08-07T19:55:49.823892Z digest=sha256:a94ee199ef59f5a11230f7579720ffcf354cd2082a3d9e081504ee901cd561d8

Observation 2e43e07a-51a8-4368-baf9-7477669f5913 · outbound

This paper cites Eggermont , and Andrew Snowden.

Strength and partition rank under limits and field extensions Eggermont , and Andrew Snowden

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.827163Z digest=sha256:5d2dcda2fe6d7a551b97be337bd3cad172dbdb67bbedb2b48d36269f180ae374

Observation a43db9f4-8103-424b-be82-79fae30ecd27 · outbound

This paper cites Geometric complexity theory for product-plus-power.

Strength and partition rank under limits and field extensions Geometric complexity theory for product-plus-power

Reference 11

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.830573Z digest=sha256:f1672d0bad447bcce77dd3163e9703c402d1e3bbc73a8f79c3968f0d26995e8e

Observation e9277895-04c3-4cbb-95b3-48486fef4b76 · outbound

This paper cites On subtensors of high partition rank.

Strength and partition rank under limits and field extensions On subtensors of high partition rank

Reference 12

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.834702Z digest=sha256:70adb4851d34ff83e90f049217a35ab71b2fcb521830fa73baf54d2454c346a1

Observation c1ecf6e5-a161-45db-8024-d48ecdd2eff0 · outbound

This paper cites Equidistribution of high-rank polynomials with variables restricted to subsets of $\mathbb{F}_p$.

Strength and partition rank under limits and field extensions Equidistribution of high-rank polynomials with variables restricted to subsets of $\mathbb{F}_p$

Reference 13

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no resolver link, observed 2026-08-07T19:55:49.838115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.838115Z digest=sha256:06bc23312bb005cdc6f9c39b4c0f343a48f8cb582f2d968180d3383143916c7e

Observation 69f7ccab-a958-4dc6-b708-dc9953604fd4 · outbound

This paper cites The distribution of polynomials over finite fields, with applications to the Gowers norms.

Strength and partition rank under limits and field extensions The distribution of polynomials over finite fields, with applications to the Gowers norms

Reference 14

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.841693Z digest=sha256:ce42146cdfa1182636701404654249b165b90177e67dc50856ad31df064cea51

Observation 16f01f9f-0b05-42eb-afe4-e469998253ef · outbound

This paper cites High-rank subtensors of high-rank tensors.

Strength and partition rank under limits and field extensions High-rank subtensors of high-rank tensors

Reference 15

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no resolver link, observed 2026-08-07T19:55:49.845081Z

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source=arxiv_source observed=2026-08-07T19:55:49.845081Z digest=sha256:65a4e25b0ddb3a4645bad13632328be97492523209bf80aebd56406006135011

Observation faaf7260-b523-47d9-b45f-e5139681e9bd · outbound

This paper cites Schmidt rank of quartics over perfect fields.

Strength and partition rank under limits and field extensions Schmidt rank of quartics over perfect fields

Reference 16

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.848471Z digest=sha256:6a7ce1267e29a9ca531e689b5616768f28fb878ea8767e7351d66ca918bfbdf1

Observation 3d02a7f7-10da-4b89-8fea-713a381b3712 · outbound

This paper cites The analytic rank of tensors and its applications.

Strength and partition rank under limits and field extensions The analytic rank of tensors and its applications

Reference 17

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raw_fallback, observed 2026-08-07T19:55:50.106794Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.851769Z digest=sha256:9fcec4f6a36081ffe6dee743f093b657c95ef8894eecc07a0bfe1034c96011ce

Observation 56ac4b0a-bac8-4f71-ac0e-8218d2704dee · outbound

This paper cites On rank in algebraic closure.

Strength and partition rank under limits and field extensions On rank in algebraic closure

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.855077Z digest=sha256:e323f529b1b90f96d9aa61bbe3df2106a1d7b03af6c8eaf74715ca874aad4f0a

Observation de5cc647-218b-411a-bc58-b54f8e915841 · outbound

This paper cites Polynomial bound for partition rank in terms of analytic rank.

Strength and partition rank under limits and field extensions Polynomial bound for partition rank in terms of analytic rank

Reference 19

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.858284Z digest=sha256:e07775aefd2babcd72fcc9441559dba367d917e77f4446b0635767b27e4aac1c

Observation f784ab37-1415-4167-95fb-68347a19f6a3 · outbound

This paper cites Quasi-linear relation between partition and analytic rank.

Strength and partition rank under limits and field extensions Quasi-linear relation between partition and analytic rank

Reference 20

Resolution
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no resolver link, observed 2026-08-07T19:55:49.861859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.861859Z digest=sha256:1a299eccc91d6f303a3dffc4d96ac49e132a35e43ca115c3ab4cbcf8bbd0533e

Observation f129ebd7-e259-422c-b942-1b615b0259ec · outbound

This paper cites Exponential bounds for the Erd o s - Ginzburg - Ziv constant.

Strength and partition rank under limits and field extensions Exponential bounds for the Erd o s - Ginzburg - Ziv constant

Reference 21

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.865353Z digest=sha256:0925c70806f2c3e3c85a21a1752bb043deeb1ab9c9182d3bfbf2d92066233ef0

Observation 900a833a-3aa4-4551-8594-aee8e9ac162b · outbound

This paper cites The partition rank of a tensor and \(k\) -right corners in \( F _q^n\).

Strength and partition rank under limits and field extensions The partition rank of a tensor and \(k\) -right corners in \( F _q^n\)

Reference 22

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.868736Z digest=sha256:371519bace5ee32564582629561ff2ee1cdc76d86695d99cd37c90e25d7e05f5

Observation 2f5eb580-0fb3-4077-8945-ea9b933a9dff · outbound

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Strength and partition rank under limits and field extensions Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.872227Z digest=sha256:0b89d12376a4e95bf84e0ac5b06378d97a1ad23ae8e39fbdaae83cc3ae57d607

Pith citing papers

Observation bc2f6f63-5562-4989-858b-b83ebbfb73b2 · inbound

Density of solutions for systems of forms cites this paper.

Density of solutions for systems of forms Strength and partition rank under limits and field extensions

Reference 3

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:24:42.706751Z digest=sha256:e0c57d3d0ea584210f0de1038ef16cfd4d8d30fd8adcafe76ae08e936509e836

Observation 3282f2a7-c9ed-4254-936c-30d301b1dab1 · inbound

Geometry of multilinear varieties over infinite fields and its applications cites this paper.

Geometry of multilinear varieties over infinite fields and its applications Strength and partition rank under limits and field extensions

Reference 6

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arxiv_id, observed 2026-08-04T02:38:12.900176Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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