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

source=pdf_text observed=2026-08-05T00:08:32.420933Z digest=sha256:834adc6c27a5d8d3f1f5ce396069fe0a227c676d9ffb3133fa2762f22df328de

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

source=pdf_text observed=2026-08-05T00:08:32.545331Z digest=sha256:0bf1ee23d0da28a0c29c20e3205f0860b11fec1b408f78be84c79b45e58ce499

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

source=pdf_text observed=2026-08-05T00:08:32.674848Z digest=sha256:02b26971c82e6cfb31c5a519d89ee004621604cd31e07e34881eca215130a6d3

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

source=pdf_text observed=2026-08-05T00:08:32.768560Z digest=sha256:cf2663672564e0be2d5710d95d4266ddd70ae7c41a30c901210bdb20d852821c

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

source=pdf_text observed=2026-08-05T00:08:32.849388Z digest=sha256:3913400ee46d927378a93a90e8b4dfdaac06a43e5d7945f9b044e5929fff9da7

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

source=pdf_text observed=2026-08-05T00:08:32.901541Z digest=sha256:6bd94327bd222e3d96cb18f6e91438b0585602c3b06bfb10ae79289f358df65c

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

source=pdf_text observed=2026-08-05T00:08:32.974224Z digest=sha256:e4dfc852d8b32dc9b214dbb134474681bb10d5cf676dabad4fabb2d8177f0cc1

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

source=pdf_text observed=2026-08-05T00:08:33.041711Z digest=sha256:cb414225a4a786747527a2571438ec9584182f7ee53588a3fc30930cdcbd7e77

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

source=pdf_text observed=2026-08-05T00:08:33.133330Z digest=sha256:b2a0e598ac5f906595218f23869065df5f11963eebee94f4b822405627a073e4

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

source=pdf_text observed=2026-08-05T00:08:33.189891Z digest=sha256:db2422717f21c86fc84c896159ab86610cae94ecc9d38e2ac65f5366a3288397

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

source=pdf_text observed=2026-08-05T00:08:33.255416Z digest=sha256:b177ccaeb889be1be3a1ab187e45a1b1c9306322595804ecd57e0988eb1adfb9

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

source=pdf_text observed=2026-08-05T00:08:33.346547Z digest=sha256:966b66e12b0b7a5377decb185791c0412cfe64b947fea5a68fa33839b7ccc02f

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

source=pdf_text observed=2026-08-05T00:08:33.432461Z digest=sha256:91574592074bc4d4e0b568e92c5add32f68fd52dd26ecebfeb0ffd2dc1a100a6

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

source=pdf_text observed=2026-08-05T00:08:33.480688Z digest=sha256:4ba947f6588d574f4267131bf5de2014ef62bba8aff43281497bebf3ad6f6d0d

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

source=pdf_text observed=2026-08-05T00:08:33.515806Z digest=sha256:13b4534afb1d3eb3324b1a888eb18b9de200d7090b1cfe5cd6b438acf2e8e15f

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

source=pdf_text observed=2026-08-05T00:08:33.586059Z digest=sha256:932a1a651e9fa4873b731d228ebb01e43689f44647339f69f079aead738b0618

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

source=pdf_text observed=2026-08-05T00:08:33.671650Z digest=sha256:a6a7b17af682ad6a54c6f89a3cb2a9bb17c8655b00bbe9f957c46e119b74f47c

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

source=pdf_text observed=2026-08-05T00:08:33.796262Z digest=sha256:0e35078cd781a31412253e3aa7ca0be81303f6fe3c27fc337ebe2fe557154457

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

source=pdf_text observed=2026-08-05T00:08:34.125926Z digest=sha256:d10ce259a7bec99f784f5eb6c62ff08e66c987230322964d9f2509b609e7fc63

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

source=pdf_text observed=2026-08-05T00:08:34.272000Z digest=sha256:982e804524a81e7cd2a62b44f5c00c96f5bfd19158d13652923a11506282994c

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

source=pdf_text observed=2026-08-05T00:08:34.399725Z digest=sha256:d3734bbb291c9e6422f7041ee053a4ab4b024c5fe3bdadeee9ca23d4d954d5b9

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

source=pdf_text observed=2026-08-05T00:08:34.489326Z digest=sha256:ce638f8df7c6d25cb786a331f7e85e67f237d770dde8825b62b3a0aca89bfdad

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

source=pdf_text observed=2026-08-05T00:08:34.592542Z digest=sha256:cd9b6a84724f622f840997c829ad88239a80193d7df0fe7952956ba74cab0855

Pith citing papers

No inbound Pith citation observations are available.