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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.792972Z digest=sha256:9a24d112816cae1015d3e0dc0c18fbca15ba61cfdf66df7c2d3639963d07703b

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.800970Z digest=sha256:918321e751080f8e4e5fd0e3ce2ff0fe003ce45dd19ad9624e82c566b49c44a0

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.804949Z digest=sha256:3e3d3ae678067859569a993d8dac26d457227541c28bb413b59f1ea3658cfdd3

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

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

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unresolved
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=sha256:0962649b1c8417f4c7d565c7f9654c0e1a261107c4335ec60f4d510b86b4d36f

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: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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.820530Z digest=sha256:01cba28d4d9209623787e4a33e33d3837c85a364637342a76542dff45533d890

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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no resolver link, observed 2026-08-07T19:55:49.823892Z

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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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.827163Z digest=sha256:73b3ebdec8496c57688cb3d647043430daba9328664ac6e258e08dedd708ec44

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.830573Z digest=sha256:374da5e73cf328b5ea37eda37660fe549ba4ad13d3f1814f498ae396a59ecd52

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.834702Z digest=sha256:16e0e9f8b6c7ab51a6930cea07cf91ecde26543d50e01b8de7165a726daf1be5

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

Resolution
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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

Resolution
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.841693Z digest=sha256:f26dde6c5b5897e98459f0f20c021b9b1d6220ae627d69455c8f6a21ab6c72f0

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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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

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.848471Z digest=sha256:a93d53530ed9a46fb604d67e2a722c55e6932e186174bf12390c51bc4b49b620

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.851769Z digest=sha256:aa2aaf19328dd50252439ec80fffb9765ddc79e2ac9b88a9719d7092b7c2d4d3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.855077Z digest=sha256:de4337f603107865b3f7c4296aeea6b9127c7cbffb9131257974e810183aa5e8

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

Resolution
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.858284Z digest=sha256:2359a12e6ebe2bebbb9330bddc284da1adfdadc93f0c6d94676102a898f6682b

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
unresolved
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
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.865353Z digest=sha256:dd2f5b96f2bcb81df63938f6583cf4e84e7ac99cb860f6e1d5d0b63bd865a581

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.868736Z digest=sha256:d22785e67413a25406c7aea8831471605f387d1f438219a52cb01859e63f0b22

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T19:55:49.872227Z digest=sha256:3c7ff7109147522add1f7acf238235c87424eeedda16b10031496702ee9e6dec

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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