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Paper Citation Record · LEDGER

Slice rank and partition rank of the determinant

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2509.06294.

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

pith.paper-citation-record.v1
2509.06294 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:08:34.592542Z

measured 26 of 26 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact3
  • verified fuzzy16
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02e1108c-cf2c-443e-b951-0f5e84495e75 · outbound

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

Slice rank and partition rank of the determinant On the Schmidt and analytic ranks for trilinear forms

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T00:08:32.330384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:08:32.330384Z digest=sha256:903610bbcf6c1715e9f1dacbf1f2d91284af2c84c01082d5aec658b0d1fe3ca8

Observation cfe3ccc7-9ff9-4616-9c96-fc308e036fcb · outbound

This paper cites an unresolved cited work.

Slice rank and partition rank of the determinant Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:08:40.481042Z

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=pdf_text observed=2026-08-05T00:08:32.420933Z digest=sha256:6c5d180fc02bef9ce5eed2d25ec6fcf957fba7afbe97a006559b52fa3798301c

Observation 1e121679-5a68-4f4b-8a8a-daf99945f968 · outbound

This paper cites Chen and K.

Slice rank and partition rank of the determinant Chen and K

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-05T00:08:35.288052Z

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=pdf_text observed=2026-08-05T00:08:32.545331Z digest=sha256:eea3947d33944396913ba0378e29bde98b995d3a504237d83c3afc28622c3b77

Observation b52eb3d4-f54c-4f75-8a90-f633a25cf5d4 · outbound

This paper cites Cohen and G.

Slice rank and partition rank of the determinant Cohen and G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:40.171999Z

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=pdf_text observed=2026-08-05T00:08:32.674848Z digest=sha256:8f6c1a775bad629518480f4cb05bca7371f689291e8d1d88b9c68be659d7724f

Observation 47c4a495-cc51-4cd2-b340-3151c8e0f3df · outbound

This paper cites Cohen and G.

Slice rank and partition rank of the determinant Cohen and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:39.831084Z

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=pdf_text observed=2026-08-05T00:08:32.768560Z digest=sha256:cdc316462fa4aaa2351da5f00c1dc740c20edadca48c9143c168de5be1e262d9

Observation 1b77c386-0d38-4639-b5df-529c466e50f3 · outbound

This paper cites Derksen, On the nuclear norm and the singular value decomposition of tensors, Found.

Slice rank and partition rank of the determinant Derksen, On the nuclear norm and the singular value decomposition of tensors, Found

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:39.566591Z

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=pdf_text observed=2026-08-05T00:08:32.849388Z digest=sha256:6525135603d7e1c96d62f2214032506c45f20c3ab7b9d3da4769ce0b2c7b0a5d

Observation f3da8ceb-4e59-48ac-b44a-3e14a0706382 · outbound

This paper cites Matrix factorizations of generic polynomials.

Slice rank and partition rank of the determinant Matrix factorizations of generic polynomials

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:08:35.077222Z

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=pdf_text observed=2026-08-05T00:08:32.901541Z digest=sha256:515d52baac706dd42803714311065657c5f6d4cd7ffcda1e736778331eacec60

Observation 93c506a1-5eb8-4a13-9870-a588f09a3d1c · outbound

This paper cites an unresolved cited work.

Slice rank and partition rank of the determinant Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:08:39.320882Z

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=pdf_text observed=2026-08-05T00:08:32.974224Z digest=sha256:18ab15d64c179059f27dd9fae9af5a4ee2ff3aeac825a8b8c602be29b6c22969

Observation 633b58be-4f73-4aa4-9119-dd9b8fc6622b · outbound

This paper cites Green and T.

Slice rank and partition rank of the determinant Green and T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:39.058476Z

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=pdf_text observed=2026-08-05T00:08:33.041711Z digest=sha256:c6de9104904dbe45b278990896363626d72a92c7aa50314c0a9730303e92aa4e

Observation 4442d2f0-4709-409c-9ed6-40a402000096 · outbound

This paper cites Janzer, Polynomial bound for the partition rank vs the analytic rank of tensors, Discrete Anal.7(2020).

Slice rank and partition rank of the determinant Janzer, Polynomial bound for the partition rank vs the analytic rank of tensors, Discrete Anal.7(2020)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:38.704575Z

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=pdf_text observed=2026-08-05T00:08:33.133330Z digest=sha256:6641af9e5824ae992f4224c190bc2104519cdfd9418f7bdd35b1355765ac6f96

Observation e535c69d-72b9-4d93-ad1f-65be59ed835b · outbound

This paper cites Karam, Small sunflowers and the structure of slice rank decompositions, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024) 287, 67:1–22.

Slice rank and partition rank of the determinant Karam, Small sunflowers and the structure of slice rank decompositions, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024) 287, 67:1–22

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:38.424756Z

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=pdf_text observed=2026-08-05T00:08:33.189891Z digest=sha256:2e06b4ac4105a45559996be676b5feaf4f97fb456d3d8b23a024afe471504be7

Observation d1dd7adf-a2bc-4030-a2ae-4e99cca06b9b · outbound

This paper cites Kazhdan, A.

Slice rank and partition rank of the determinant Kazhdan, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:38.121076Z

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=pdf_text observed=2026-08-05T00:08:33.255416Z digest=sha256:3e8ec57ae14f8f019dc48f1dd2b8b1704191ca8c6dff08bccae86c650c47beaa

Observation 5cb54c4a-2ccf-4ab5-ac3a-41d9c44bc18e · outbound

This paper cites Kazhdan and T.

Slice rank and partition rank of the determinant Kazhdan and T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:37.874241Z

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=pdf_text observed=2026-08-05T00:08:33.346547Z digest=sha256:a31aed3a6c1fd9224be326eaa206cbc59ed7c27e42ecd3339cb7614af547c114

Observation 4ccb54ba-0d4d-4fe6-807f-4158ec1ecaf7 · outbound

This paper cites Kopparty , G.

Slice rank and partition rank of the determinant Kopparty , G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:37.675185Z

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=pdf_text observed=2026-08-05T00:08:33.432461Z digest=sha256:07d42d47d6353fcc1338978b03adbd4b65f2f8c2495514f6f600381a09d2176e

Observation 93d089d8-8995-45d7-b15e-933b38e7c9e6 · outbound

This paper cites Landsberg and Z.

Slice rank and partition rank of the determinant Landsberg and Z

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:37.465314Z

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=pdf_text observed=2026-08-05T00:08:33.480688Z digest=sha256:f1ab8dc1dad35255a821b6277ab1b733acf09e021e5ed243df9abf45f8cdc7aa

Observation dd85d324-a55b-4285-a9a5-14642ca32710 · outbound

This paper cites Lovett, R.

Slice rank and partition rank of the determinant Lovett, R

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:37.295432Z

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=pdf_text observed=2026-08-05T00:08:33.515806Z digest=sha256:1cba3798150ea5cd9be38f0298f5f7d95e6f29f2c958ccb29825e84ec83ffd24

Observation 79468b2e-9584-4cec-880e-4c40486ea2d5 · outbound

This paper cites Lovett, The analytic rank of tensors and its applications, Discrete Anal.

Slice rank and partition rank of the determinant Lovett, The analytic rank of tensors and its applications, Discrete Anal

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:37.126544Z

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=pdf_text observed=2026-08-05T00:08:33.586059Z digest=sha256:4a0a5939ae27a26cbad668a33d87f414e4bb0d40ce21bb3aefca01a34e77a29a

Observation cf43b421-10ee-4f5b-9cc7-d5d998c786ac · outbound

This paper cites Meshulam, On the maximal rank in a subspace of matrices, Q.

Slice rank and partition rank of the determinant Meshulam, On the maximal rank in a subspace of matrices, Q

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:36.878112Z

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=pdf_text observed=2026-08-05T00:08:33.671650Z digest=sha256:653a32206171e4bb200ed5493245af8ecdb7ec426afe6033b91702418b630621

Observation 41937929-6217-4586-aff7-42740bad2930 · outbound

This paper cites Mili´ cevi´ c, Polynomial bound for partition rank in terms of analytic rank, Geom.

Slice rank and partition rank of the determinant Mili´ cevi´ c, Polynomial bound for partition rank in terms of analytic rank, Geom

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:36.576628Z

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=pdf_text observed=2026-08-05T00:08:33.796262Z digest=sha256:07cc05e50391a6224e740fbec32275a9b07a1702ea64fd57a5deb6cbbafa70e1

Observation efe5ae3f-5bf3-498f-b903-28b3e12d4056 · outbound

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

Slice rank and partition rank of the determinant Quasi-linear relation between partition and analytic rank

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T00:08:33.923226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:08:33.923226Z digest=sha256:696c4acd7c76415b3364ab1dfe724db3edb9b2d4cc5eca1ba7bda0ce9643a23c

Observation 45cfd270-6a3b-47a9-a8b1-9c4fbe119fb7 · outbound

This paper cites Uniform stability of ranks.

Slice rank and partition rank of the determinant Uniform stability of ranks

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T00:08:34.044177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:08:34.044177Z digest=sha256:90e282ae3780e8ce2db4d57e323e476bf3f0d87da750d9c3fe659735671ec825

Observation dc810a47-52b0-4644-9018-3a0bd80611b6 · outbound

This paper cites Naslund, The partition rank of a tensor and k-right corners inF n q , J.

Slice rank and partition rank of the determinant Naslund, The partition rank of a tensor and k-right corners inF n q , J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:36.343257Z

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=pdf_text observed=2026-08-05T00:08:34.125926Z digest=sha256:8e6cc119cb7bbf3ea3adbb47382e3e15643c2d307641e19127a6e367dd7be4af

Observation 139942b7-ef55-44b3-a290-d9933e571a81 · outbound

This paper cites slice rank.

Slice rank and partition rank of the determinant slice rank

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:08:36.079052Z

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=pdf_text observed=2026-08-05T00:08:34.272000Z digest=sha256:dedf596d80aec43ff96aa94c0c5daf0722a0a9487d06143a5102e4677004e6ad

Observation 96b1e3b8-900f-4064-8a8c-9bdcfa1b236f · outbound

This paper cites an unresolved cited work.

Slice rank and partition rank of the determinant Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:08:35.771502Z

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=pdf_text observed=2026-08-05T00:08:34.399725Z digest=sha256:6495cd69ae3bb1423a3435ff6b67cd508c8ff39809a6b668ed6a9e8994ad645f

Observation b87e4578-36b8-4a34-8101-bda97435b850 · outbound

This paper cites an unresolved cited work.

Slice rank and partition rank of the determinant Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:08:35.512166Z

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=pdf_text observed=2026-08-05T00:08:34.489326Z digest=sha256:c02c94f3f393acf6c8737d59d05428a251f14e16fa5f3c9344dc195c357b66c6

Observation 70a80b86-a881-4fff-bcf7-623ca51bb3c9 · outbound

This paper cites an unresolved cited work.

Slice rank and partition rank of the determinant Unresolved cited work

Reference 26

Resolution
verified exact
raw_fallback, observed 2026-08-05T00:08:34.858132Z

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=pdf_text observed=2026-08-05T00:08:34.592542Z digest=sha256:83722ec68671ec6f7d50fd747e245eb3301343f0737e80af93b57c0b9a1e2ab4

Pith citing papers

No inbound Pith citation observations are available.