Paper Citation Record · LEDGER

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves

As of 11 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2509.00984.

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

pith.paper-citation-record.v1
2509.00984 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:17:57.060426Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy3
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9381bb6-018b-40e0-b81d-bc6e0b7d68bf · outbound

This paper cites Brylinski , Transformations canoniques, dualit\'e projective, th\'eorie de Lefschetz, transformations de Fourier et sommes trigonom\'etriques , Ast\'erisque 140-141(1986).

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Brylinski , Transformations canoniques, dualit\'e projective, th\'eorie de Lefschetz, transformations de Fourier et sommes trigonom\'etriques , Ast\'erisque 140-141(1986)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:55.870591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdaa7914-f866-472f-8a12-a0c75b8562e8 · outbound

This paper cites Brylinski, B.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Brylinski, B

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:55.946447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 310910a5-64bc-4f93-96cb-f75d422c1bd7 · outbound

This paper cites Bott, L.W.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Bott, L.W

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.011639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 407ece35-1df5-4983-952d-a5c390f04465 · outbound

This paper cites Bernstein, I.M.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Bernstein, I.M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:17:57.559496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7da9576e-b391-4db5-8636-5324ce37424f · outbound

This paper cites Deligne , Th\'eorie de Hodge III , Publ.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Deligne , Th\'eorie de Hodge III , Publ

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.160633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02950643-fc00-4562-a0f8-dd38e1ea237d · outbound

This paper cites Deligne , La conjecture de Weil: II , Publ.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Deligne , La conjecture de Weil: II , Publ

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.243807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e5684b1-86e1-4a8e-9f6c-a4cd28c67df8 · outbound

This paper cites Bernstein, V.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Bernstein, V

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.336154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c7ba02d-a19b-49f6-a971-acdc3a968c26 · outbound

This paper cites Bernstein, V.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Bernstein, V

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.392880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aa8192a-7e57-4920-80bf-0b4d86fc3394 · outbound

This paper cites El Zein, D.T.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves El Zein, D.T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:17:57.402806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e9e503ae-145b-499b-a990-d4fa1d8eff41 · outbound

This paper cites Kashiwara, P.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Kashiwara, P

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.490060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ebcab56-b2de-40a7-a8ef-45659bc91419 · outbound

This paper cites Langlands , On the Classification of Irreducible Representations of Real Algebraic Groups , preprint I.A.S.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Langlands , On the Classification of Irreducible Representations of Real Algebraic Groups , preprint I.A.S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.543884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4a1f29b-1428-4485-b9c4-70269c55b3ed · outbound

This paper cites Serre , Espaces fibr\'es alg\'ebriques , Anneaux de Chow et Applications, Se\'eminaire C.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Serre , Espaces fibr\'es alg\'ebriques , Anneaux de Chow et Applications, Se\'eminaire C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.602636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1882109-4995-4020-b7ff-79424bd0b7ce · outbound

This paper cites an unresolved cited work.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.668519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33de2b15-ef27-4c61-ae8f-1549e959fff3 · outbound

This paper cites Saito , Modules de Hodge polarisables , Publ.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Saito , Modules de Hodge polarisables , Publ

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.755285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95523320-c62b-4739-bbdf-8a4353fb5483 · outbound

This paper cites Saito , Introduction to mixed Hodge modules , Ast\'erisque 179-180 (1989).

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Saito , Introduction to mixed Hodge modules , Ast\'erisque 179-180 (1989)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.792793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac360e79-2887-442e-bae9-1e0f3b983c8e · outbound

This paper cites Saito , Mixed Hodge modules , Publ.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Saito , Mixed Hodge modules , Publ

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.848690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46aeb9de-47ff-4d7e-9d50-5da7815af83a · outbound

This paper cites Soergel , -cohomology of simple highest weight modules on walls and purity , Invent.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Soergel , -cohomology of simple highest weight modules on walls and purity , Invent

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.882892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e68cc99-082a-45bb-be14-07d22689f055 · outbound

This paper cites Springer , A purity result for fixed point varieties in flag manifolds , J.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Springer , A purity result for fixed point varieties in flag manifolds , J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:56.975187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b19ea214-0243-4eb3-be7b-fb7fb8a8e694 · outbound

This paper cites Verdier Sp\'ecialisation de faisceaux et monodromie mod\'er\'ee , Ast\'erisque 101 (1983).

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Verdier Sp\'ecialisation de faisceaux et monodromie mod\'er\'ee , Ast\'erisque 101 (1983)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:57.013428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47da6dca-857a-4d6e-bd56-84c14c32e882 · outbound

This paper cites Williamson , Nearby cycles without a function , https://mathoverflow.net/q/389689.

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Williamson , Nearby cycles without a function , https://mathoverflow.net/q/389689

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:17:57.174229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.