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Paper Citation Record · LEDGER

Lower bounds on the strength of the determinant

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.21015.

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

pith.paper-citation-record.v1
2607.21015 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:49:37.072138Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1c819da-389b-4d3c-a464-d04a2f3e8117 · outbound

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

Lower bounds on the strength of the determinant On the Schmidt and analytic ranks for trilinear forms

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T15:49:36.907039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:49:36.907039Z digest=sha256:9e8cecec236516b8bd882b17d2511b9cdab6d7f316d5ae377cae019a340a940a

Observation f3c19733-3a7c-4bcc-b815-30b50e19aab3 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.668712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.913645Z digest=sha256:07f422c07201e99290ffc8764b08229797cb3d9f5852dec619df42d423782ccb

Observation 57323abd-a84c-4b36-8c8d-03635a914ed5 · outbound

This paper cites Ananyan and M.

Lower bounds on the strength of the determinant Ananyan and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.652763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.918632Z digest=sha256:ecd5f378144d01e40f9d42ef2f1c76508af2248797a0819f1c01e58409fa2175

Observation 541d80ea-a948-404b-ae3f-bf6800bf1612 · outbound

This paper cites Strength is bounded linearly by Birch rank.

Lower bounds on the strength of the determinant Strength is bounded linearly by Birch rank

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T15:49:36.923266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:49:36.923266Z digest=sha256:9423e7da01e9665d4527d65d92459228cfce8b771760950b4ac178769b6a29a0

Observation 19ddd2f7-a12d-4714-9d23-0de6f748b452 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.637314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.928814Z digest=sha256:15079b0eda50c1cd5ed732a11dd89fdd172159db1ad2565b3e81fcfa437d6318

Observation 772c918d-8c29-4472-91a6-1658a4a517e8 · outbound

This paper cites Chen and K.

Lower bounds on the strength of the determinant Chen and K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.621706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.933726Z digest=sha256:32b940fd8c4f6c3a0bc50624d53c7ee9e1aa4fa397763b2c51d7c443b45ff7fe

Observation c41e3629-c8b8-4a32-8763-fc0d54814f4f · outbound

This paper cites Geometry of multilinear varieties over infinite fields and its applications.

Lower bounds on the strength of the determinant Geometry of multilinear varieties over infinite fields and its applications

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:49:37.152136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.940076Z digest=sha256:3226970a19c68c96322e33661381a1ceca3ffe2d8b03ef9f404e8eb6d39f7ce4

Observation 74894fdf-f4a1-43f9-97dc-e04c6a35b0f5 · outbound

This paper cites Cohen and G.

Lower bounds on the strength of the determinant Cohen and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.606044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.945091Z digest=sha256:233c867d37c287c4ab88992a8ff08cbbfc989cf096a75c6f068050d79a6b258c

Observation 32664a5f-d193-4f92-a745-0863f86937ab · outbound

This paper cites Cohen and G.

Lower bounds on the strength of the determinant Cohen and G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.589931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.950031Z digest=sha256:f9e97c6332e4df98c262ea167b7b6a6ad345c4671c1a6fff04589f8855ce5e96

Observation f428ebb1-6c55-4f3b-968e-1c1cb68d2a16 · outbound

This paper cites Comon, G.

Lower bounds on the strength of the determinant Comon, G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.573872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.954605Z digest=sha256:138930632db9ad0aad8a944c03fe81d95c571a0503c75d9ce9e4151be33e53cf

Observation 074dc2b0-1672-4eea-9b0c-9814feb7f64b · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.556132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.959208Z digest=sha256:a9f53251b617a876eaa62e8ebf73b5e20c3fbef8df54049edf440f59f10a6f00

Observation dc25bf91-0f25-4662-bb1b-11bf019985af · outbound

This paper cites Eisenbud and J.

Lower bounds on the strength of the determinant Eisenbud and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.537756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.963775Z digest=sha256:d7ed9d0338c575dd688c0321f896b740576acf82b99efeee12dd7c928ab194b4

Observation 1120dc9c-17bf-4c70-a974-21cf1af47a30 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.522334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.968474Z digest=sha256:8b6a982d3e1792d0ae4de2700d81f55b5c84c58213d25cdc44ff57950f3c0b28

Observation 5e43f7b5-caed-47bf-a4d1-463a8d904048 · outbound

This paper cites Fulton.Intersection theory, volume 2.

Lower bounds on the strength of the determinant Fulton.Intersection theory, volume 2

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.506374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.972701Z digest=sha256:b11646728533f1a7f3638154795d782d86a6f5c42cc64d5cdf3bca60e94fc48b

Observation cf92557e-925d-4148-b3b1-e8951dfb5604 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.490622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.977058Z digest=sha256:276e43a76bd10f2499a58e45cc53c02a86bd089a7c8c5d3e855819a6eae823b0

Observation e0067c91-9377-441c-bd89-3ab23f8090b6 · outbound

This paper cites Grothendieck.

Lower bounds on the strength of the determinant Grothendieck

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.474702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.981432Z digest=sha256:b2c5f3b9b2d52dd80b25bca4516c7dc8ae1898548109dbd94430994eed3101a3

Observation 4e5406b4-1c38-4a15-a2de-40076068f565 · outbound

This paper cites Hartshorne.Algebraic geometry, volume 52.

Lower bounds on the strength of the determinant Hartshorne.Algebraic geometry, volume 52

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T15:49:36.985988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:49:36.985988Z digest=sha256:d87ae64996c6115087eb55da0ceba27cd6ec21af3ed830cedd95fb241e976027

Observation d8b6e2ff-2beb-4281-8e35-4bb5b839decf · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.448712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.990829Z digest=sha256:3920a85384ea3f7add79bd04e10bab59c28a99f5c7f88ab5816a044800c2c75b

Observation be238192-5028-4195-91e1-f9180d250015 · outbound

This paper cites Kazhdan, A.

Lower bounds on the strength of the determinant Kazhdan, A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.433584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:36.995598Z digest=sha256:92ef6edc346a9bdff50d5f11a4fdf95aaf9090b6ce3570ef1425f2a7f62420af

Observation d3c2af07-0368-4b7a-b20f-4eb44337dcf6 · outbound

This paper cites Kopparty, G.

Lower bounds on the strength of the determinant Kopparty, G

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.417909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.000278Z digest=sha256:1e5ec8d0e72d99178d71f6a0b9034035e3248f5a4f2be28c8a7da254ee97eaf7

Observation 927fd915-4ef7-4488-a177-99c389c40e7d · outbound

This paper cites Lampert and G.

Lower bounds on the strength of the determinant Lampert and G

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.402373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.005009Z digest=sha256:392c7fdf1d17a5469fd349a439c0f4a111477f310ead1a39908dad2f4bda74ca

Observation de4d5a00-0e97-4443-9f47-6e4c03c05172 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.386457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.009532Z digest=sha256:04fa175fcba0c4a1911fe8579cd7743f5aab7dd9d334ab15f8422bb8b2368fed

Observation efeb1036-4523-4517-aa72-e2a3f70cd3f8 · outbound

This paper cites Mili´ cevi´ c.

Lower bounds on the strength of the determinant Mili´ cevi´ c

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.371403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.014463Z digest=sha256:bdf4e2d90b54a00e6a226b4aba3ef78d7d2704405ab70cd989038de7c1317671

Observation 68ad2ae9-b9e4-48f6-88ae-92983639eb33 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.354620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.019135Z digest=sha256:b50a608268dd0871fc65508218720b0669c3ff6b0498359c56e7556f14951a90

Observation 6e3e0385-450a-4605-b7c9-78a6bbd527bb · outbound

This paper cites Moshkovitz and D.

Lower bounds on the strength of the determinant Moshkovitz and D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.337243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.023966Z digest=sha256:69f0b973c5b742da31a01126dd1c5421f55edfaf16fbbd2e1d2c970d03dd1fee

Observation d52685b8-f8f0-450b-a739-9efb3270f019 · outbound

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

Lower bounds on the strength of the determinant Quasi-linear relation between partition and analytic rank

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-15T15:49:37.028690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:49:37.028690Z digest=sha256:0c65e3089a9f24b3b78ec1ab355c91c5b55fe7fb4fa018e28ebd211d9f6bafa7

Observation a25e082b-6ff1-4d63-9212-d569856200d2 · outbound

This paper cites Uniform stability of ranks.

Lower bounds on the strength of the determinant Uniform stability of ranks

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-15T15:49:37.033850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:49:37.033850Z digest=sha256:13c7033d5bcef5cceebc7e53ca2b66a4b6a3355053af0104a4b6909b8bbe67c5

Observation 96ef849b-6d27-4562-b10c-089c262b34ed · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.321252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.038821Z digest=sha256:462c9318cda10c09ed0dd0cab4a1fddf57352825f93b66161e6f5fa8ab91eb43

Observation 596013f1-97fd-4797-b098-bce50d557a05 · outbound

This paper cites Naslund and W.

Lower bounds on the strength of the determinant Naslund and W

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.304858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.043606Z digest=sha256:2800b3f6d89c4a8b1b383553c284ced5a8499b91322066081606c7c45f95c5fc

Observation c3248d47-1190-4238-962f-daadc26b31ba · outbound

This paper cites Procesi.Lie Groups: An Approach through Invariants and Representations.

Lower bounds on the strength of the determinant Procesi.Lie Groups: An Approach through Invariants and Representations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.288865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.048402Z digest=sha256:2df40eb483f03ba2a15ef2e6cd0684acdf52422f0496028b73cf808ba7dea3e9

Observation db4392ae-68ab-431b-8fd8-ece73fd8df99 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.270940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.052999Z digest=sha256:2071ff99b25a7f4bafc7f8b4a3e89ebf69c5195bd49d724378cdd830c8ab6fdd

Observation 48a9ca74-dcc8-4298-851f-2e49dae08629 · outbound

This paper cites Stacks project authors.

Lower bounds on the strength of the determinant Stacks project authors

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.253856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.057801Z digest=sha256:4329b0b096385217c1d6430e4f75e9187b25901340506dbf3e4334e9bfe4ffdc

Observation 5e262fb7-a953-4e67-8d62-f1af3f1a2ae7 · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.235840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.062600Z digest=sha256:d40a937c7e5c1eab3985938a56ee704faca818393212042937510a16be80170b

Observation e207e329-1568-4ccf-80e3-1bdcd1dd7d3e · outbound

This paper cites an unresolved cited work.

Lower bounds on the strength of the determinant Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:49:37.217900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.067289Z digest=sha256:1297b010b8cff7409c31c043cbb76020e8930c58e9a177feedf5bb872189fdd7

Observation db8f3843-a796-4976-ba3c-d1e23e93e51a · outbound

This paper cites Wang and A.

Lower bounds on the strength of the determinant Wang and A

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:49:37.201530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T15:49:37.072138Z digest=sha256:96ed5c91f8f11425affff50d9c68372077e3e5b60ddbcc306b9cfb7f1064237d

Pith citing papers

No inbound Pith citation observations are available.