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Paper Citation Record · LEDGER

$P=W$ via $\mathcal{H}_2$

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2209.05429.

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

pith.paper-citation-record.v1
2209.05429 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:02:15.199968Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T18:38:48.706111Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1e4017c6-eff0-4b1a-a2d6-542ea2acfb90 · inbound

Global Weyl modules for thin Lie algebras are finite-dimensional cites this paper.

Global Weyl modules for thin Lie algebras are finite-dimensional $P=W$ via $\mathcal{H}_2$

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T12:19:12.296305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:19:12.296305Z digest=sha256:509972c8caec614adab02a68417246fa2c83a195848ae5705cbfe9b20715c010

Observation f45f0407-940d-442f-9529-9953fafc9e72 · inbound

Logarithmic Non-Abelian Hodge Theory for curves in prime characteristic cites this paper.

Logarithmic Non-Abelian Hodge Theory for curves in prime characteristic $P=W$ via $\mathcal{H}_2$

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-10T19:50:07.637305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:50:07.637305Z digest=sha256:80fe48651c9713babb6404dd128aa8ba4f2c1773d8b612234b0fbee7e2fe3a6b

Observation 1abee964-38cb-42da-8bd0-d9b66be0e27d · inbound

Cohomology of symmetric stacks cites this paper.

Cohomology of symmetric stacks $P=W$ via $\mathcal{H}_2$

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-08T23:07:21.636928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T23:07:21.636928Z digest=sha256:6bb013450b7cd7077ae830a3531a40335d123ef862b1ebc3ab9bf6c6a8aa41f3

Observation 471eba2a-2146-4992-aed9-b71c265bcfc0 · inbound

Hitchin fibrations are Ng\^{o} fibrations cites this paper.

Hitchin fibrations are Ng\^{o} fibrations $P=W$ via $\mathcal{H}_2$

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-08T20:51:51.815188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T20:51:51.815188Z digest=sha256:c2f8c2465a7c2130fca4fb228f07761f977d58418358a4a783700093f208e2be

Observation 3e8a442a-c836-400a-99f2-2e63efe64ed3 · inbound

Local multiplicativity of perverse filtrations cites this paper.

Local multiplicativity of perverse filtrations $P=W$ via $\mathcal{H}_2$

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T06:02:15.199968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:02:15.199968Z digest=sha256:24b22cb02c8a40d885b7ab405680fdbe31c28c2d4a778362e59476254579d6fb

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

Cohomology rings of character varieties cites this paper.

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=sha256:951f8c0cdb11dc2399f89a48abfe889dd1e325f74d6a2791b7736530f7ccafa0

Observation 75aac8a8-f9be-4b07-a22e-a7da9bfdef05 · inbound

Mixed Hodge Structures of cluster varieties of dimension 3 cites this paper.

Mixed Hodge Structures of cluster varieties of dimension 3 $P=W$ via $\mathcal{H}_2$

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T17:28:41.155561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:28:41.155561Z digest=sha256:9a0368bbf89b94dcc7a068cd1e89755af647a55dbfdae0855bfc7be05c96e982

Observation c3477b82-c6fd-4ed2-9d39-45421666f672 · inbound

The Dolbeault geometric Langlands conjecture via limit categories cites this paper.

The Dolbeault geometric Langlands conjecture via limit categories $P=W$ via $\mathcal{H}_2$

Reference 1997

Resolution
unresolved
no resolver link, observed 2026-08-05T15:42:49.851171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:42:49.851171Z digest=sha256:02e8535688b71e0aad2e68ebb7ccb6851ff911986a6370dd1bfc4f9b01dd7b8e

Observation e0d124f2-e252-43ba-900e-a90d8f2af6dc · inbound

Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem cites this paper.

Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem $P=W$ via $\mathcal{H}_2$

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-15T16:16:13.680015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:16:13.680015Z digest=sha256:aadb8f7cbe87d951883bb2596f2aa963bec4e159d64b6eb2c6907634ae330eb2

Observation ca9e0f72-5e57-4a84-a96e-1181b0336240 · inbound

Topology of projective Tate-Shafarevich twists cites this paper.

Topology of projective Tate-Shafarevich twists $P=W$ via $\mathcal{H}_2$

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-15T19:50:17.388193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-15T19:49:50.685590Z digest=sha256:9ae584f5ac7b1f315650c2ea56aa255ad6277de41f9186c51bfe16a9d949d81d

Observation 041b4a94-7327-4340-9903-72e1784c9325 · inbound

Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians cites this paper.

Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians $P=W$ via $\mathcal{H}_2$

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-02T19:27:08.747604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T19:27:08.747604Z digest=sha256:f41dc794c0d61da5f7c3b9df999d3509bd38c5b960c3f8c213053e096bd135d5

Observation 92b870cb-9271-420a-96f3-90be3f623b66 · inbound

Hecke operators on symplectic surfaces and $\chi$-independence cites this paper.

Hecke operators on symplectic surfaces and $\chi$-independence $P=W$ via $\mathcal{H}_2$

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-07-03T18:38:48.707818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-03T18:37:27.082245Z digest=sha256:d6f54091fef71028d1ba769cafd9efbe2a16efa986c62821ffa708ed9a832e30

Observation 15786bfd-d47f-488d-849d-f33d40a883f1 · inbound

A non-holomorphic P=W phenomenon cites this paper.

A non-holomorphic P=W phenomenon $P=W$ via $\mathcal{H}_2$

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-30T20:31:51.612853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T20:31:51.612853Z digest=sha256:c2c0bde4c351b45179868ca879c8266aaed092170465c6e24e6adecfe83a257a