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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 2026-08-08T06:32:00.761636+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.792972Z digest=sha256:61b2809833bd51d296d1c0b0590500f4dfb6211d22b10e0552070526f3f33ff0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.800970Z digest=sha256:81fdd6a18b3210937a7c75af8e19d498045af5caff92acc759c36000dc14b65c

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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raw_fallback, observed 2026-08-07T19:55:50.167915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.804949Z digest=sha256:139da2f49dee0b96777f49fc6624223a9b61c254531ddf6fee90ab53da3b7c85

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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Source-reported events for the cited work

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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.820530Z digest=sha256:8029963c21d076c5c8df67f30757369a45eb23c881f9f0242bc42f1df871d76b

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

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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.827163Z digest=sha256:6c3af04aa848338434bb4a75b0c73e78425544c06d06612eeb5326311c450ad5

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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local_arxiv, observed 2026-08-07T19:55:49.936188Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.830573Z digest=sha256:bb4665464af53d7b3457eeefddaeb36a958cb0a309a26fb69311571101d77bef

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.834702Z digest=sha256:e5b0b1afc0f9b0c612c72cb07e5df6d895a39871d3c0c3e7ab717ec5fb7d3414

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.841693Z digest=sha256:714fd3d5a091f7729390b9415868583adc295b809325649582f0a5fd30cd023f

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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raw_fallback, observed 2026-08-07T19:55:50.117593Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.848471Z digest=sha256:c84055aebe5ae058dbcfd8ffea961520219718b821a062368dca949fcd3200eb

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.851769Z digest=sha256:df4c20c8494b28e416e5d0604a07a036d2afa21e960208c7066130c790c4f65c

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.855077Z digest=sha256:08c9d3096f01bfcf1ba20523dbe7e9eff87806f0bda05d195de330ef8a144b77

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.858284Z digest=sha256:0fc2f0315bf4e7c3f0bbb2c6e6f3e56c2db7743d7b6074473ca7507bfaadce6c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.865353Z digest=sha256:5daed4816e3b734aafcb16a748075efe7fd90c4854a712dd3635b48d02bcb458

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.868736Z digest=sha256:1e0bfaa31a9cb3445ac002577b799bae6eca6c1d1f7076e26f9e98a0e353c217

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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source=arxiv_source observed=2026-08-07T19:55:49.872227Z digest=sha256:3ad0110f244f96b96f2bac65364ff1578bdc8c75e238885d4ccd94179848554b

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: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 2026-08-08T06:32:00.761636+00:00.

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