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Paper Citation Record · LEDGER

Cohomology rings of character varieties

As of 20 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 2026-08-20T06:33:59.587034+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

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
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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.

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

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

source=arxiv_source observed=2026-08-06T16:53:17.776937Z digest=sha256:442260077d8b6ae853f23c68b6b72c41f0f78abbfd6fa1c2f2e5d8b4ae20df35

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:cb82ec7d3eb84d6f13add5cd91bffde99bf89ff1bc4a0366461ce2bb76cfc47e

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:d31175dd4f071086b090aefcba479dcd8cd3a3a57a035e41435068333098f5f7

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

source=arxiv_source observed=2026-08-06T16:53:18.021727Z digest=sha256:4b5603a0c47cab936e7d50369daf4fe8b1c81a3b56f18710a48feaffbed2ceea

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

source=arxiv_source observed=2026-08-06T16:53:18.076603Z digest=sha256:070006279ca163b657d681f94fb05b431eee2c62b14828ab686bf21eb8fd0672

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

This paper cites II , Inst.

Cohomology rings of character varieties II , Inst

Reference 8

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-06T16:53:18.127787Z digest=sha256:26a4a756767d1b5a75ad7e94f6f9757e75682ceb03e480b788f1d67f25bb6821

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

This paper cites III , Inst.

Cohomology rings of character varieties III , Inst

Reference 9

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-06T16:53:18.220371Z digest=sha256:848be2f731b2257d5f29a3a2c79960552da8baee4b123ec32624e6646b1e3932

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

source=arxiv_source observed=2026-08-06T16:53:18.297104Z digest=sha256:92a017f374d956e802402fd61880741f746c808e36b0ae21a447a68e67b121ce

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

source=arxiv_source observed=2026-08-06T16:53:18.366818Z digest=sha256:2f8c84063044255d5ded3020096787101037de8374c407dd44e1983faef72a39

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

source=arxiv_source observed=2026-08-06T16:53:18.414822Z digest=sha256:ba6e4a815ef188ae855e70c84071b08d45e9c3c2a5da942bd72e3696b33ea1e1

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

source=arxiv_source observed=2026-08-06T16:53:18.486127Z digest=sha256:66e9c994fbcb9bd1337721dea558673706aead542bfb9981b0154684b707f679

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

source=arxiv_source observed=2026-08-06T16:53:18.579228Z digest=sha256:5224e8fefdc0ad8b1fcbdb3981ea6b40bf5743cc44e68a3ac1d5024041f4e17b

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
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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=arxiv_source observed=2026-08-06T16:53:18.664956Z digest=sha256:d0763ec7c1c2b87f3eb3d2b82b1db2d31dbb163aa0c69f8d7878e2d59c4970d9

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

source=arxiv_source observed=2026-08-06T16:53:18.758131Z digest=sha256:cfd7a4d88ca866848022f302ab619c73a2a477c2ccf9fd7fcdd870bd4c2d81f1

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

source=arxiv_source observed=2026-08-06T16:53:18.857003Z digest=sha256:7454e0a53a76c1732a597ff04f6c1c2f1e129aac332d19be0e58aabe589549a3

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

source=arxiv_source observed=2026-08-06T16:53:18.960354Z digest=sha256:87587a50f6c35180a6eb230340e9a674605e75c3565ed3add9b5d175b301d97e

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

This paper cites Haglund, M.

Cohomology rings of character varieties Haglund, M

Reference 19

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-06T16:53:19.046603Z digest=sha256:a996cbf4e5a276c2ef3b84be076c419e4857b35af7d5ac8866b9f87030995f35

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

source=arxiv_source observed=2026-08-06T16:53:19.163479Z digest=sha256:3744de5d90473a74e4101f5319dfddd0e6df3bf0eb365fbab12db9bb3082d092

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

source=arxiv_source observed=2026-08-06T16:53:19.225691Z digest=sha256:35cf6afe805036a632395fb2b3fa5fc41d4c0f42932afb12c9533a6577c51bb8

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
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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=sha256:951f8c0cdb11dc2399f89a48abfe889dd1e325f74d6a2791b7736530f7ccafa0

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

source=arxiv_source observed=2026-08-06T16:53:19.361115Z digest=sha256:112076bebfae81dea77cf69ad7876a23913912eca954e9cfb6235e47c1500670

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

source=arxiv_source observed=2026-08-06T16:53:19.437016Z digest=sha256:58a46019db3c91e35b866ac77d9ff880b238af5e683f630cfb92b392eb06d47d

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

This paper cites Reine Angew.

Cohomology rings of character varieties Reine Angew

Reference 25

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-06T16:53:19.505792Z digest=sha256:b8dbde6f17cffc7ebd10e8e45a174139f610cb9a963a6ea371e4d2d5577cb0c8

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

source=arxiv_source observed=2026-08-06T16:53:19.604078Z digest=sha256:5bc22fce0772cc265ab4f54b05bc33406b41f1aaf904facdcd4bf775298ec11d

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:a8c32c7a95a68668cac184da1968fc9b4e97c7bf02666f992c231999e29704c4

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

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

source=arxiv_source observed=2026-08-06T16:53:19.909315Z digest=sha256:21aafb27b22a51b2921dfaae18ffddb6ef80b6f8a670ed55b82be923b1642ad3

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=sha256:00f5afffcb0bdaadc8f11a399995c7a809162766492e59c7a0cb8cf055763953

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

source=arxiv_source observed=2026-08-06T16:53:20.060880Z digest=sha256:973f0185a713de1772bc1cefb0dc77e5074659d01dcee8f97d51e6c1d74a1aeb

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

source=arxiv_source observed=2026-08-06T16:53:20.195338Z digest=sha256:f5df41966b1a703b2909ea0cbd489dd96f35cc4edd3583c59edadce2c9734011

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

source=arxiv_source observed=2026-08-06T16:53:20.285926Z digest=sha256:4250967091b4a3d3910b81887dd99182f0895082296bdbddefdaedc173763a6c

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

source=arxiv_source observed=2026-08-06T16:53:20.330937Z digest=sha256:586affbc48b5f07cc09e789788600bba01f191f862e24ed92a248319fca5cbc0

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

source=arxiv_source observed=2026-08-06T16:53:20.373597Z digest=sha256:ce96238e117cfec699365556f0d6fa8f8484fb6c691b0df4cdde0509e9f3d398

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

source=arxiv_source observed=2026-08-06T16:53:20.440160Z digest=sha256:6c893c6ef59e4e5a72600aff7675695744943c16a3c6d41124fa40a512487ee1

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

source=arxiv_source observed=2026-08-06T16:53:20.485701Z digest=sha256:605b8069a2e213d34869b8c710a92564791d7876eaebd89cfb5f9d8c8dc98d48

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

source=arxiv_source observed=2026-08-06T16:53:20.529750Z digest=sha256:7e75bf290cc0f928e9b19330734de6c0e7bf8832c1e58e54fc961870e1d7c49a

Pith citing papers

No inbound Pith citation observations are available.