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Paper Citation Record · LEDGER

Strength and partition rank under limits and field extensions

As of 13 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 2026-08-12T06:34:41.77262+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
  • parse uncertain0
  • 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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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.792972Z digest=sha256:99517f30061a579bc60e3407481db09c056408d371c46e798067caff9bf81581

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

Source-reported events for the cited work

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.800970Z digest=sha256:668ef8aa360a3487b675e74f798070d833b2069aebc0c3b7b78ff6a4ada69817

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.804949Z digest=sha256:196560cf45abc4b659f238bdddde95122b4a59ba2687912f07a9bda3717e87f1

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=sha256:4653e874d986afa52c4ff8ab4abeecb1a0ab2d7aa9c0ded9ea01b7b0cb836169

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

Resolution
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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:ee9024f15a4861a37cc873503b95f9ba954d53893a71e574423e679a63367782

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

Resolution
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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:b44f705e61edb98b4148103cda6f5515d62984641b8a3eda86874f47ac095243

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.820530Z digest=sha256:ca4f000314d364e0e57b86f31f50be23938648386a28062237e7d7d9b374ec75

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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raw_fallback, observed 2026-08-07T19:55:50.147684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.827163Z digest=sha256:228583ca4432d5e6c900c6e045998453a11c21f389d415650f8b42a60ca08411

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.830573Z digest=sha256:4d6f9bfc6475570571e396fc14ff07e881e66b4fa3de67288211a6c705948ecc

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.834702Z digest=sha256:44c92972332f5607f650104b74169d061c498353b44a27468920e6c1d413acc3

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=sha256:2498464f4dd3fdf2edef9e37daab3cf22b3c5e472770b0cce841993f68710424

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

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verified fuzzy
raw_fallback, observed 2026-08-07T19:55:50.127586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.841693Z digest=sha256:27bb744e650bd1ebfd0309850fab268fb630b2c3d9a258a16fe21eba726cfba1

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:55:49.845081Z digest=sha256:967a634b8827a0b89fa6e1090c9e900b578745e596d54a5c5bb6c61fbfaa3aea

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.848471Z digest=sha256:94f5945e58ab49e5fa7c8363cb3f615a49c983560692020a93442d78b635eb22

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.851769Z digest=sha256:7d61136a19f7722c181aea467de5bd4e7e31abe63048e14d62597eccd59599d2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.855077Z digest=sha256:c0241e7c48d8f3b075e901e9a997346e58461beb6ca42f14203a455f07c8bcda

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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raw_fallback, observed 2026-08-07T19:55:50.086050Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.858284Z digest=sha256:75ef4c92d44b25f5c7bed72f636b2cd59636762a4a10a475f0f21bf9680ccacc

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:b31f92189c9ca2dea18fd155877b52e002095b316b190fe017a722ac236e6eae

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
verified fuzzy
raw_fallback, observed 2026-08-07T19:55:50.074768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.865353Z digest=sha256:72d3d68a7f490f68efd6c5f239cc6de0e7eef9a1d017c9f138e3421dbd6fecc3

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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raw_fallback, observed 2026-08-07T19:55:50.063939Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.868736Z digest=sha256:75e737516b11532bf59b75b5994f25b4dae7d9978cb6288b79c244c5230bb1c9

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

This paper cites an unresolved cited work.

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.872227Z digest=sha256:3490c8ed287f050712ebb8d9428775b444a28fbdbcbf0eea737b9b2b855883a2

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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no resolver link, observed 2026-08-06T17:24:42.706751Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:24:42.706751Z digest=sha256:19d147b485ce2fb7e8e9cc9215893340c3cff57d1cd54117b25094f71838ec8e

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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