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Paper Citation Record · LEDGER

Slice rank and partition rank of the determinant

As of 20 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 2026-08-20T06:33:59.587034+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=sha256:04bffb0a48018d21cd1f6b411a7e88db225d4b835e3286d529af349920391a9b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.420933Z digest=sha256:610e1986df7b7fa1741e93c18c6dd5fd4441a30f6be8ad046a9a23eb171adaf0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.545331Z digest=sha256:e7b82d2c650d5c1f8ba74874334a94a736a72c81b52c18dd07c44f400fec7f6a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.674848Z digest=sha256:e925cb1542eb5b0d6b1726c7cabf9f14504b2d737141939cf23a862cc89e4459

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.768560Z digest=sha256:1a840e5546285fe979f631d372227e055a594a9648f164e24b830995dad237c3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.849388Z digest=sha256:dc29a2fc7da785b0fee0c35d2b491062bbd49b6ed91a6071259ac1ed484c100b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.901541Z digest=sha256:d04022ee132f40bd1adfcfbe61a2b994203583255b2419712b279882a59a70e6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:32.974224Z digest=sha256:43abfba046955197cd760e97a86df606db5fbe49750d2e23cc884416703c7462

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.041711Z digest=sha256:8412ac1d920478a005e1f00ea648ae10aa816efa2d34a8188f6055c3e0cb66fd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.133330Z digest=sha256:0a41df4cfe45f45fe605685bb8e8ca6148563a24519c244bbad5a57fb549522f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.189891Z digest=sha256:2fae0fd7c0880b4980ce1af49ab4e3177eec59ce0f6ef1a3e92e1fabfb5d7025

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.255416Z digest=sha256:1349b0a0adeceba2d0799959550bb6a5b7285b19a0c9fefa2ec4974d0cb3476e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.346547Z digest=sha256:0bab7ebba289797b3cdf76966109b442d0f46a4928044dba6e25619c079f0298

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.432461Z digest=sha256:56b52e77ecdfecac11b7360363ac75de54848660c2fae091dd07496c34544e9c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.480688Z digest=sha256:b0b85b81dcd9024f26cc4e5007c8b3bc708fe4323fe4f84bce56f9bd158c5bbe

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.515806Z digest=sha256:da8cd85f478524db504cdafcfa759410c3fb4a661b3b506d69cf34c284e373de

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.586059Z digest=sha256:f2e980a91ff46690c5cfd65d42982c6effe2a1fa62588948003bbc34b3ed0f21

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.671650Z digest=sha256:265ebbe774eb7818d37eba0439bb0fbbc4a2f7a627baab6f5a5d5d3d808846d4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:33.796262Z digest=sha256:b2fe8a5d667787d140f9e173447e7f03050862f796b5450c963b739b494f4c05

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=sha256:56e1f6e12fa2a388ad284331369ca8e6cc2437412c316ca360dd414f5d7a451c

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=sha256:88213b8c10bbf658336bafb122f811eb8cc9a2f102b8f62605ddc5eaeb51b008

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:34.125926Z digest=sha256:75467794739a7f00239bfe85fbd6d1a70f9603f8ce6fb2d4e72f0366251b5f4e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:34.272000Z digest=sha256:c68508829da056c813fcc3d4a8176f3f1091c754cb77f04b6f85f5a6bff22b8e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:34.399725Z digest=sha256:b32c85ca8242e2760633c98e84b25674f68e7dd9ad5b0c34f7962922cf4a8ac0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:34.489326Z digest=sha256:d5a6bde5b2a3d4c76a4f0a402f3627fb395e005a0cb11e18fe81151d96dee31c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T00:08:34.592542Z digest=sha256:8e94c63bc20e460d0c1394c80dd0d9461a51c56a7a79e12eb63b6e9f02016946

Pith citing papers

No inbound Pith citation observations are available.