Pith. sign in

Paper Citation Record · LEDGER

Cohomology rings of character varieties

As of 10 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2507.12454.

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

pith.paper-citation-record.v1
2507.12454 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:53:20.529750Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

38 of 38 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ebb4b98b-b89b-4dd9-8a49-3adf01d0c2d1 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:26.968579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:17.642937Z digest=sha256:9142988e6894b49e300c29d9774df6e71c5c6929e266866d6844d53aebdf9bf6

Observation 071ec913-cd91-48b8-b7fd-1dacc037aa29 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:26.746458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:17.707032Z digest=sha256:2044b4e20bf4d27a95ff097ccdc00f1caca7ed9d9a85939db6b734b18b675696

Observation 0e8223d4-7701-4761-b16c-bbe6c904e795 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:26.576692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:17.776937Z digest=sha256:22bddd8fd432d1d96e65cc74f52706d46b11c3d1fcf986268c8592257353092e

Observation 3bad8432-6cfb-444c-8862-3f6de4de46b7 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:17.874679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:53:17.874679Z digest=sha256:9c684ed30cf3129adada1045f5d0058f55ac457c1d90d7e446880ae296b5fe09

Observation ad19bec7-c6ce-427c-b9a4-da342e5c77fe · outbound

This paper cites Affine Schubert calculus and double coinvariants.

Cohomology rings of character varieties Affine Schubert calculus and double coinvariants

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:17.938205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:53:17.938205Z digest=sha256:b39d4e142044d43ef8bf06dbbce5ad20c28edf597e62f27a09825058b87e7b62

Observation 23076888-b56e-4284-b646-72b1eef988b4 · outbound

This paper cites de Cataldo, Tam\' a s Hausel, and Luca Migliorini, Topology of H itchin systems and H odge theory of character varieties: the case A_1 , Ann.

Cohomology rings of character varieties de Cataldo, Tam\' a s Hausel, and Luca Migliorini, Topology of H itchin systems and H odge theory of character varieties: the case A_1 , Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:26.352368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.021727Z digest=sha256:2675ef97a409ebded8561d943d7832a0e3691d293d4aa29b9f99c264347869bb

Observation 2f2c22fa-0fd4-44e0-9ddc-f5556bbb0c72 · outbound

This paper cites de Cataldo and Luca Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Bulletin of the American Mathematical Society 46 (2009), no.

Cohomology rings of character varieties de Cataldo and Luca Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Bulletin of the American Mathematical Society 46 (2009), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:26.116225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.076603Z digest=sha256:4e83a8e0ae25174c64d1b305386d65758263e804b046a195afe2bd2a9ec407db

Observation 8693766d-2720-4678-ba9e-69b8f6810925 · outbound

This paper cites II , Inst.

Cohomology rings of character varieties II , Inst

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:25.933003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.127787Z digest=sha256:0e7d7837a900a2c411c1b0ad1651eaf47accfa167fb8aa0be0b7ff1b12acd689

Observation dee771f3-b89f-4b3b-a108-83972061b74c · outbound

This paper cites III , Inst.

Cohomology rings of character varieties III , Inst

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:25.744763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.220371Z digest=sha256:d56675d27e4b7707bc6a038832e762c2c232160e50003f766fda788a80fbf9f9

Observation c6ec5ace-e294-4160-8515-739386f0bdae · outbound

This paper cites Dunfield, Sergei Gukov, and Jacob Rasmussen, The superpolynomial for knot homologies, Experiment.

Cohomology rings of character varieties Dunfield, Sergei Gukov, and Jacob Rasmussen, The superpolynomial for knot homologies, Experiment

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:25.621984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.297104Z digest=sha256:11d80750a2c7eb28dc7635363e39a2c928b0a81428611635d979b7d8f867994d

Observation c8d48269-4e6c-4f8a-8648-0803cbcddbd7 · outbound

This paper cites u ber die T heorie der automorphen F unktionen. B and 1: D ie gruppentheoretischen G rundlagen. B and II : D ie funktionentheoretischen A usf\.

Cohomology rings of character varieties u ber die T heorie der automorphen F unktionen. B and 1: D ie gruppentheoretischen G rundlagen. B and II : D ie funktionentheoretischen A usf\

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:25.357059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.366818Z digest=sha256:bdf666c790e0e9d384d7ddb8189ef007608db6efb34fad60020f6a3970be9e4d

Observation 486b26fa-dc71-419a-b9a9-3dfd282d6eb2 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:25.103652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.414822Z digest=sha256:20bccde60639329e08521fc8be0950a87dffa3c43eee92378327bc69465318d2

Observation b2b5f220-d4e2-4b68-80e6-3028482ed42e · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:25.003513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.486127Z digest=sha256:eb135fea7d322fea863b261476a62c1b08bcc77bf7824d462cca1b2873c048ce

Observation cffa340a-4c2c-4c58-bd05-efa8b4f097ee · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:24.855615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.579228Z digest=sha256:b7d20ccbd4b46e3771de50460a5d88cd5a54bbb1f090d8023d67d7977886d1cd

Observation 6a45ce5d-f6a5-4aa5-b73e-fc0b4aeceb54 · outbound

This paper cites Haiman, Conjectures on the quotient ring by diagonal invariants, J.

Cohomology rings of character varieties Haiman, Conjectures on the quotient ring by diagonal invariants, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:24.628290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.664956Z digest=sha256:8b395f37b37ebb33e77826204b7e3ee8a41959f0626d543cd09e1505ada46321

Observation 626ca04c-ced7-470d-af82-0ae846b0faf5 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:24.390439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.758131Z digest=sha256:fe955d796ab4fff23dc3c3f38b1e87b21bf8438b63e92709ef69a32ebadaf99c

Observation b1afe808-1e0b-48e6-9eda-37ff65654ad9 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:24.144275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.857003Z digest=sha256:1e906e18d17528fcd49865f83044889aaf078e8b3a2fc33dc5920999c07df7a5

Observation 23363ce2-48f2-4ccf-9198-f15cd9d845c3 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:23.984036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:18.960354Z digest=sha256:dde73869b4554123e6a53410c1c593a03b119378cbec1b7db0fe06fbea4a1fa8

Observation 661e522b-5af3-4738-9b7b-75ea60f595aa · outbound

This paper cites Haglund, M.

Cohomology rings of character varieties Haglund, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:23.761881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.046603Z digest=sha256:012713e40469399441c882ae622a99a1b728fd4e3bbfaa3e2f3815cc28788a73

Observation 40117344-8f11-4336-be04-4784c4e44e6c · outbound

This paper cites Hitchin, The self-duality equations on a R iemann surface , Proceedings of the London Mathematical Society 3 (1987), no.

Cohomology rings of character varieties Hitchin, The self-duality equations on a R iemann surface , Proceedings of the London Mathematical Society 3 (1987), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:23.548955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.163479Z digest=sha256:0b45aa8b2c4dae79d6bc7d27e75ec634efb48aa546c907b216fd5e5e286807d5

Observation b4546d4a-a6a2-4e37-b271-f3103b9eb76a · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:23.354084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.225691Z digest=sha256:a591cf155fc9278eb86b543a79ae872f71e4748e52dc1713ee8de12d5614f04e

Observation cee1424a-17ee-4832-94ea-ae52fe5c97bc · outbound

This paper cites $P=W$ via $\mathcal{H}_2$.

Cohomology rings of character varieties $P=W$ via $\mathcal{H}_2$

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:19.284667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:53:19.284667Z digest=sha256:ef30462644e9b7c320a0240fb46eab85efec25f2bf94f6e7fbc05272f86f1aff

Observation 2f7e0f6b-32f0-475d-8a6f-a59f5a410754 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:23.170716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.361115Z digest=sha256:4c17c9a421b1607b4161341722e9239baedebd604752570bae052c9ea506df44

Observation 0f5a1429-51c0-467b-a16c-b0df1ba4d188 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:23.024252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.437016Z digest=sha256:a52def4fdaf9edc15cc75ff63551d11b227a7dcc0f25e12c1906956d015d7a1d

Observation 516d9904-fa97-422f-90b0-7ebac043fb7a · outbound

This paper cites Reine Angew.

Cohomology rings of character varieties Reine Angew

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:22.898418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.505792Z digest=sha256:0c5faa77aafb7692b12b0455e39122c129d6946abd65e932979dfca9b2b74f50

Observation 712cd333-c71b-4a2b-bdc4-6e5ba525d589 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:22.706700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.604078Z digest=sha256:7b7a206aa8f43233033d44a18b6bbc617945368cc1a520e6f29ba2e3350831e5

Observation be6e17ca-a390-4b88-a2ae-0d1c958387f2 · outbound

This paper cites Cell decompositions of character varieties.

Cohomology rings of character varieties Cell decompositions of character varieties

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:19.742308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:53:19.742308Z digest=sha256:d6b19078bef977ca4c799d2c2a470219ba96d4ef787340173de86688c531981e

Observation eed8b2ec-e6da-47bd-a925-c92ded21a9ad · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:22.542281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.830624Z digest=sha256:9331df7be6c8a55d15946eb3846dffc8a5b23e7397cefbe8318260dc500b0734

Observation 1df97d8c-77af-4018-8b2d-320d82cf229a · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:22.399601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:19.909315Z digest=sha256:3e79233dc5b087b2a9df1b53baa45968bc465c5d728f3d260d712c9bbafba731

Observation 87ecd734-2c58-4c2e-90fd-0ebf94978892 · outbound

This paper cites Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty}$-algebras.

Cohomology rings of character varieties Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty}$-algebras

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:19.971388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:53:19.971388Z digest=sha256:8a656af21603be0c4da13df4aeb04a259e5cb6c1bb7ab29a5bb4f2a22d1bfe14

Observation eebc5a0d-e660-4f48-bfc3-e38beb5a0769 · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:22.277575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.060880Z digest=sha256:8469509f476290385d5633a4f872922ff7fcef1bda913f922205624cdd0f665b

Observation e3d154ed-a01e-42bd-a00d-43e8ce15998a · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:22.065090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.195338Z digest=sha256:f7c08ea6414a3d1bce60739d8e69cca2e5a4f7d740b099c3808651a23a7f0b51

Observation d4b3e571-bb8e-43dc-9af3-32afc6e1f39f · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:21.822197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.285926Z digest=sha256:7a29c11b488f32b0442c56d0e1e4505d97aa889c42f8c85e67508e93246763fa

Observation d0d7546d-34f1-4776-bc68-3d1153ede97f · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:21.535094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.330937Z digest=sha256:2bf20e26c1ff59f58fa8fb4c836e7b677c8155a89bf227f527a8ecfc428f652b

Observation 88c47ac7-fd80-499f-8bbd-90654515f79d · outbound

This paper cites Simpson, Harmonic bundles on noncompact curves, Journal of the American Mathematical Society 3 (1990), no.

Cohomology rings of character varieties Simpson, Harmonic bundles on noncompact curves, Journal of the American Mathematical Society 3 (1990), no

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:21.331769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.373597Z digest=sha256:3af0f6c7f08129049c7953c99bb6d25d9c08458a94b62671a603df4443c49033

Observation ecc5ee6d-557f-4085-b731-4c20cdda6f54 · outbound

This paper cites I , II ( K yoto, 1990), Math.

Cohomology rings of character varieties I , II ( K yoto, 1990), Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:21.064807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.440160Z digest=sha256:988bfba960f5c3b826df4f3211eb32e9d21191b584e7424423f58a8f0334a8b4

Observation 6602c071-96b3-4ae9-b47e-ce0819bd4614 · outbound

This paper cites 1, 5--95.

Cohomology rings of character varieties 1, 5--95

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:53:20.899188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.485701Z digest=sha256:f56d73ccf262334ce3c6a16025b72ad8c9dc755baa156a4e83c9eaefb3da6718

Observation 3e6e4942-3992-437e-b51d-6ec3e2345b4d · outbound

This paper cites an unresolved cited work.

Cohomology rings of character varieties Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:53:20.736362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T16:53:20.529750Z digest=sha256:f82e0579fa292d7f5fb6979bddffacd9aa6fa601ab36d17680b3a1c12404064e

Pith citing papers

No inbound Pith citation observations are available.