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Paper Citation Record · LEDGER

Local multiplicativity of perverse filtrations

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2504.19439.

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

pith.paper-citation-record.v1
2504.19439 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:02:15.232147Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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 exact1
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43dd2f7a-356c-4cb7-99c8-a826c887d1b4 · outbound

This paper cites Boalch, Simply-laced isomonodromy systems , Publ.

Local multiplicativity of perverse filtrations Boalch, Simply-laced isomonodromy systems , Publ

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.435104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.172603Z digest=sha256:d1536c17d99d551948b2e43a243e5041c847d5de8a80e199a9c39dd7720cd759

Observation 29715e02-e6e9-4b2f-9ed3-357a03a80010 · outbound

This paper cites Beilinson, J.

Local multiplicativity of perverse filtrations Beilinson, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.425328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.176171Z digest=sha256:5f770257627f98ea754ec6e73923ed1f426bcf0ce550610a7bdbfaa3ced591dc

Observation 4a4bfa83-876f-4b22-8e00-983a162b49d2 · outbound

This paper cites de Cataldo, T.

Local multiplicativity of perverse filtrations de Cataldo, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.416927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.179098Z digest=sha256:f65b581f6556488e3fcf7796ff731080a1450279850f480c4789b006cebe8170

Observation 4640253a-ff29-4ce2-a384-8821c61dccf1 · outbound

This paper cites de Cataldo, L.

Local multiplicativity of perverse filtrations de Cataldo, L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.409534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.182038Z digest=sha256:8396304117be4abc60284f8644d937b20951a4935528eea0661e2f4cebb0c71c

Observation f677724e-8801-4ef2-bc6d-68c200824a39 · outbound

This paper cites de Cataldo, D.

Local multiplicativity of perverse filtrations de Cataldo, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.402216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.184793Z digest=sha256:8ebc578d0f1d7623ab8fdace46411d056745236572962ccacf797b9c2a273432

Observation a78ba652-3faa-48ed-b1a7-64a65cec6ff8 · outbound

This paper cites Dancso, M.

Local multiplicativity of perverse filtrations Dancso, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.394246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.187873Z digest=sha256:9841e2c9f18e7a771cf31da8b3a8a9f39ab9cc45b4314147362fae6723490316

Observation 60493bcc-a806-4be6-8d2e-9f0da032aa65 · outbound

This paper cites Groechenig, Hilbert schemes as moduli of Higgs bundles and local systems , Int.

Local multiplicativity of perverse filtrations Groechenig, Hilbert schemes as moduli of Higgs bundles and local systems , Int

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.385074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.191184Z digest=sha256:c818a8e18924c5a3a6a4c051fe536e380198f166eb187ee84fce36abc37060c4

Observation 77d24e0c-267b-4801-84fc-ec1542073213 · outbound

This paper cites Katzarkov, V.

Local multiplicativity of perverse filtrations Katzarkov, V

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.375728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.194080Z digest=sha256:b9f4c316232740a98911b8104710ffd097194f52adbf134f64ef8d7e78150713

Observation 4c95516b-ca0d-4fa6-be66-f438c643a278 · outbound

This paper cites Harder, Z.

Local multiplicativity of perverse filtrations Harder, Z

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.366496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.197006Z digest=sha256:c9994b496810a527eb35c0fd116b92a73d748598c1490837a8c5f4d559c3faa1

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

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

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 7da8b792-053e-4705-a5d4-4a991df8f265 · outbound

This paper cites an unresolved cited work.

Local multiplicativity of perverse filtrations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:02:15.357044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.203599Z digest=sha256:c56d8e38d2dab43926acaf92e901781308e2d316f637a9c7966acf9f5db9a807

Observation 8938030f-8aad-4302-97a3-ec00956f0501 · outbound

This paper cites The $P=W$ conjecture for $\mathrm{GL}_n$.

Local multiplicativity of perverse filtrations The $P=W$ conjecture for $\mathrm{GL}_n$

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T06:02:15.206529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:02:15.206529Z digest=sha256:67acbaa343f958de836fe1fdaf9e22e63e0bfbfc7acf21ac48ec606bebd49267

Observation 8810bef2-dc58-4344-aa6c-e34df60c9c10 · outbound

This paper cites an unresolved cited work.

Local multiplicativity of perverse filtrations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:02:15.347530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.210857Z digest=sha256:9be204239c5d13df18c2a447c63d568dcd42eebefc392156e424daf57111ec17

Observation bdfd56ea-4d26-4574-9d2a-bba6c40595ea · outbound

This paper cites The cohomology ring of certain compactified Jacobians.

Local multiplicativity of perverse filtrations The cohomology ring of certain compactified Jacobians

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T06:02:15.213661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:02:15.213661Z digest=sha256:78545879237fc03da32e0497c45514e85f60268c11eafb4d9aa5d1197212a280

Observation d3d9566a-c416-4304-bb8a-910e6e5b8d71 · outbound

This paper cites Simpson, Higgs bundles and and local systems, Inst.

Local multiplicativity of perverse filtrations Simpson, Higgs bundles and and local systems, Inst

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.337698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.217006Z digest=sha256:b85b249136f3e751d969e9f8461789ca02fe1aebf02c0e218b716c61a351a62d

Observation 24a88704-cd01-4630-987a-5543a8590d7b · outbound

This paper cites an unresolved cited work.

Local multiplicativity of perverse filtrations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:02:15.328199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.219790Z digest=sha256:1f277bf6c0e40aa37e9c1b6aae00f1c3ebe648ef92f7d0600ef48b14ec5fc8e3

Observation 2a5d19f1-9967-454c-a341-b8d8d5a1fe5b · outbound

This paper cites Zhang, Multiplicativity of perverse filtration for Hilbert scheme s of fibered surfaces , Adv.

Local multiplicativity of perverse filtrations Zhang, Multiplicativity of perverse filtration for Hilbert scheme s of fibered surfaces , Adv

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.318337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.223217Z digest=sha256:6936325d3ddeb77644dd11423b121a0d595c13b0ed30fffea44f755a9dfceb89

Observation 8ba480ca-c3dc-477a-9ff6-c8468bfba740 · outbound

This paper cites Zhang, Multiplicativity of perverse filtration for Hilbert scheme s of fibered surfaces, II , Trans.

Local multiplicativity of perverse filtrations Zhang, Multiplicativity of perverse filtration for Hilbert scheme s of fibered surfaces, II , Trans

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.308628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.226124Z digest=sha256:f25e05aca725fae7082e24d44ed8107e41a525061cc927981146e8cdafce3fc7

Observation c485f3dd-d055-4621-a39a-bce8799e059b · outbound

This paper cites Zhang, The P = W identity for cluster varieties, Math.

Local multiplicativity of perverse filtrations Zhang, The P = W identity for cluster varieties, Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:02:15.298246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.229029Z digest=sha256:50e6179d1c7312ebb7990c2a5d3faa5a904541df387549c773cd54557a3499d7

Observation 47bd39b5-08d0-4b20-bcda-30e95dd0e06a · outbound

This paper cites Zhang, The P=W identity for isolated cluster varieties: full rank c ase, Mathematische Zeitschrift (2024) 308:3.

Local multiplicativity of perverse filtrations Zhang, The P=W identity for isolated cluster varieties: full rank c ase, Mathematische Zeitschrift (2024) 308:3

Reference 20

Resolution
verified exact
doi, observed 2026-08-16T06:02:15.261846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:02:15.232147Z digest=sha256:b9c237424313bb45a8f14403f0fe39f7a59f2769c4b8133b56220fa29b85843c

Pith citing papers

No inbound Pith citation observations are available.