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Paper Citation Record · LEDGER

Local multiplicativity of perverse filtrations

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.172603Z digest=sha256:05b712f0bec64ed35d4dddafcf0617c10003b3fa6af3e0e5cd45243732d98c59

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.176171Z digest=sha256:4dace905b5683cdb7a05ed5b4b6498f2befd936ac9ead4a53fbee3b3fd3d7515

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.179098Z digest=sha256:987f83fd914bc8b31e5267ab4a4e87f0f31958ae0277488783ca3a2d21ee9e99

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.182038Z digest=sha256:6ea93224de077e65ea96cdd4ab5d81a6c6e783c19273cbd2b28f9ff5708c63d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.184793Z digest=sha256:4dd6c9307fc1f40f9efc1e138ea9656536bfe4a24840d7da5a62df354a913c6f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.187873Z digest=sha256:0b0455cbde39343283aa9b2979a4159ec2c2b1e191c5ea9c539514fb6a709744

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.191184Z digest=sha256:e4fcc8d1277f2f7c99149a1a205c976686ee0f43f4d040a7d677e345cd848bdd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.194080Z digest=sha256:635a326a717f70e529eb222f406fbbb5709188bf510d31386c260a6861f471b4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.197006Z digest=sha256:7d9fbc3627b40ea4503d950de9d65c8868608e959ae8d30df2e1809a20102a58

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.203599Z digest=sha256:db105c51648a1ea3e2c1d34b26c4cd3f2a884faf05b595698158015b082dabc9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.210857Z digest=sha256:e17aea183fb196839f5e974f2d143282f9169d3ac53aad528cdc6167b996fff8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.217006Z digest=sha256:f917f1a778846b3a7e193d34860ac46f5be8d3d01044c773e52517de608316e4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.219790Z digest=sha256:a09228062f0a6b9bfa09ddeb3b3e74ebe9c3332d86e3a6b6903289660322e3f4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.223217Z digest=sha256:648f9b065625528267566e4bf516a84cb334199342d82cb4291128ca0a1602dc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.226124Z digest=sha256:7682b458518c9c763c1b74bf566db9e2852efa372ca7ca4de680e7c72de24338

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.229029Z digest=sha256:f1cf87a9ae538b0d32ffba813c5dce8d138c28ea2c86f33e2d84ad16a4fb30f8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T06:02:15.232147Z digest=sha256:3b2e3905e2ed5ef1f317b5ab297d40868beaf0d5d4520963b518e91edcad3302

Pith citing papers

No inbound Pith citation observations are available.