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Paper Citation Record · LEDGER

Slice rank and partition rank of the determinant

As of 8 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 2026-08-08T06:32:00.761636+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=sha256:612007b5b6fd546f7863fc32b567dd6d86a37ba9cb16e903e3d3b7e5c70ab865

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

source=pdf_text observed=2026-08-05T00:08:32.420933Z digest=sha256:b47dd7b02466bb6778fcc5b746c810fb9484bbfbc9043616d92efbff2934c527

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

source=pdf_text observed=2026-08-05T00:08:32.545331Z digest=sha256:170da4231ba00dd79c7d16d9344a7835da3206b44328d73e3ac4438bcf306b7b

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

source=pdf_text observed=2026-08-05T00:08:32.674848Z digest=sha256:7d08c739bb558858f968fa2da0bbb13d16b06cdc7b770f97fbf089ad7277331d

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

source=pdf_text observed=2026-08-05T00:08:32.768560Z digest=sha256:fca1ee3fd26607348598819e3e932506f86c819003113581de2afb3a7e1471c0

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

source=pdf_text observed=2026-08-05T00:08:32.849388Z digest=sha256:e57436b8a3f55e999c01532512668db7a7fc73a90a7753deba6ea5b4070c31f0

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

source=pdf_text observed=2026-08-05T00:08:32.901541Z digest=sha256:81ac8f473d5498c802cfb18c846dd2ce432fc108577ebd1b49ab2ef71eb76fca

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

source=pdf_text observed=2026-08-05T00:08:32.974224Z digest=sha256:8c2aeeee2b91ba0f87b9e908773291bf9858ead86208fa6335b3f1cfbe007fa7

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

source=pdf_text observed=2026-08-05T00:08:33.041711Z digest=sha256:7a549022ffdbd7f1ebacf48d3eaddd9bab5792a0d406d10d7e7d8092be9e67c4

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

source=pdf_text observed=2026-08-05T00:08:33.133330Z digest=sha256:4907172db2509fd1db42091efb8662119f0d9a3df95697a7e3edf4e556efc32d

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

source=pdf_text observed=2026-08-05T00:08:33.189891Z digest=sha256:bcd1aafb2b4e8cf11de14b1dc1448f7ab7c05023d9123f62524733264496ef7a

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

source=pdf_text observed=2026-08-05T00:08:33.255416Z digest=sha256:ca55cefa654b6aa43e6d4453412c340e38b7dadd85fc923a1bd5f35c08b50a61

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

source=pdf_text observed=2026-08-05T00:08:33.346547Z digest=sha256:1fbc9bd0bb67de214699fdf9011d55f8d137803878a65da024c4ce45ac019063

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

source=pdf_text observed=2026-08-05T00:08:33.432461Z digest=sha256:865f810e7842f8113b47a829927746c21b6eb9f1e9a65ac520989218c02e667f

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

source=pdf_text observed=2026-08-05T00:08:33.480688Z digest=sha256:37e7ffc60b3ab73b1bd53c8775af39b1143d77b8e7bc9ed406afdcfca113fda3

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

source=pdf_text observed=2026-08-05T00:08:33.515806Z digest=sha256:9bf0de6cd5b7d70d1429e8daff7f801526dd76dc4e7be4e40d820d4b4d519e50

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

source=pdf_text observed=2026-08-05T00:08:33.586059Z digest=sha256:cc6af491a14ad5f4cecf98211c925c621c5f4aa0ce4cb811deb1cf246fd89857

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

source=pdf_text observed=2026-08-05T00:08:33.671650Z digest=sha256:a3feb7df8212434b63eea1f5d79f75547ba3d4f4571d9adf761b1e51465f5385

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

source=pdf_text observed=2026-08-05T00:08:33.796262Z digest=sha256:f8cdf00f060dddc286178577d557c6793a983bb7ee9a79e3d65f8eae26a225fa

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:b5c012fc4f663a75b8242d97c09fed2fb5ed88c78e23c3988ac6495d9a081375

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:f9c25e23000592aba8d614a2a97b535d13b3633bb124081d9246a0c9cf0c2676

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

source=pdf_text observed=2026-08-05T00:08:34.125926Z digest=sha256:e30803cbae0bc5e40df3a0d8dc5f2286a42298db0cbc08a09a60ac24bead9599

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

source=pdf_text observed=2026-08-05T00:08:34.272000Z digest=sha256:f35ea207381edb965c6ed5e26d17f8182964f13f7acd4d8020e928ca425399cc

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

source=pdf_text observed=2026-08-05T00:08:34.399725Z digest=sha256:a3e4cb05e48739412dade12b0638077228642aeefce6ae0dc1b9d4f60e651f25

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

source=pdf_text observed=2026-08-05T00:08:34.489326Z digest=sha256:89bce7448d00cc9753f40ad4bd7c11ee99b063e5f4013b669da7db12d06da201

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

source=pdf_text observed=2026-08-05T00:08:34.592542Z digest=sha256:6c81a6125c70db52ecf09eddfc06538d6f40c754f12c10913c45abd92003aab6

Pith citing papers

No inbound Pith citation observations are available.