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Paper Citation Record · LEDGER

Addition theorems for Ziegler pairs of hyperplane arrangements

As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2509.19011.

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

pith.paper-citation-record.v1
2509.19011 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:51:50.063181Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T18:06:56.705675Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T18:08:15.346928Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33712a25-f85d-4c04-85a6-2b1f2e6b4921 · outbound

This paper cites Addition-deletion theorems for the Solomon-Terao polynomi- als andB-sequences of hyperplane arrangements.

Addition theorems for Ziegler pairs of hyperplane arrangements Addition-deletion theorems for the Solomon-Terao polynomi- als andB-sequences of hyperplane arrangements

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T15:50:42.948782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:50:42.948782Z digest=sha256:71a08384ade9eea0a85f16f3654b2af3bdd51fa7e2ee157c7654abf8c8e1ae97

Observation 83ef2a1d-2f08-4d61-937d-214dcab48c24 · outbound

This paper cites Modular curves $X_1(n)$ as moduli spaces of point arrangements and applications.

Addition theorems for Ziegler pairs of hyperplane arrangements Modular curves $X_1(n)$ as moduli spaces of point arrangements and applications

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:38.136332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:38.136332Z digest=sha256:7eceece16ccefadf7a690b984f6b0463b56d4bee016073a61f9d1e1146a14613

Observation 9d4af5c4-3ce2-4161-8b9b-38c9dc2f395f · outbound

This paper cites Singular matroid realization spaces.

Addition theorems for Ziegler pairs of hyperplane arrangements Singular matroid realization spaces

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:44.608298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:44.608298Z digest=sha256:a514077ff5370dbcb2ace359c23d8a1a8ab4372d8796272602b44534157e0479

Observation 68a517b1-1b85-4bc9-ad4f-e3003083a453 · outbound

This paper cites [OT92] P.

Addition theorems for Ziegler pairs of hyperplane arrangements [OT92] P

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:46.358521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:46.358521Z digest=sha256:3844f50c4c4874d5316e04c1b5f4527681398235d68202143e5227ece7b01446

Observation abc60c26-70f6-4ba1-8994-cb00763db8e5 · outbound

This paper cites Combinatorial construction of logarithmic differential forms.

Addition theorems for Ziegler pairs of hyperplane arrangements Combinatorial construction of logarithmic differential forms

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:50.063181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:50.063181Z digest=sha256:cab9b3838ca654561c8846ded5afa1a23dd280925932a3b9afe777650bcf5e0e

Observation e188d6a8-61a7-4693-906e-b089d7e0aa23 · outbound

This paper cites Springer-Verlag, Berlin, 1992, pp.

Addition theorems for Ziegler pairs of hyperplane arrangements Springer-Verlag, Berlin, 1992, pp

Reference 300

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:48.942902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:48.942902Z digest=sha256:cd5b0702f4ab7a8c0dd6303da98ed7c5c08a8e92dcfa7deb4fc8b982c62d268c

Observation 5673fb68-1c3e-4365-ae9f-52da95521692 · outbound

This paper cites Degeneration of pole order spectral sequences for hyperplane arrangements of 4 variables.

Addition theorems for Ziegler pairs of hyperplane arrangements Degeneration of pole order spectral sequences for hyperplane arrangements of 4 variables

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:50.056000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:50.056000Z digest=sha256:dad23e0bccb368f99d3763f1ae519ebeb4dbff6b5061103b002d1eb4899652e1

Observation 17179b60-1cb1-4460-8c7d-cb5d4d5ea9a9 · outbound

This paper cites [BHKL25] M.

Addition theorems for Ziegler pairs of hyperplane arrangements [BHKL25] M

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-04T15:50:50.692971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:50:50.692971Z digest=sha256:658ab014ecea7533f2d970f3d791251acc1a08d3e70a79adb8f110d6d51134b8

Observation 204e162e-14a0-4cf3-b74b-99005c38718b · outbound

This paper cites Computing the nonfree locus of the mod- uli space of arrangements and Terao’s freeness conjecture.

Addition theorems for Ziegler pairs of hyperplane arrangements Computing the nonfree locus of the mod- uli space of arrangements and Terao’s freeness conjecture

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-04T15:51:15.933691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:51:15.933691Z digest=sha256:112c18f32f0633955c915d71fc9921bf86c2a6eef750fb2930983831ccc746f9

Pith citing papers

Observation 0e02e75b-1447-4d47-bcae-beabdb26baa1 · inbound

A semicontinuous relaxation of Saito's criterion and freeness as angular minimization cites this paper.

A semicontinuous relaxation of Saito's criterion and freeness as angular minimization Addition theorems for Ziegler pairs of hyperplane arrangements

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-11T02:08:34.179457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-13T18:06:56.705675Z digest=sha256:e15934f749baa515661a59abcfe9b974e09245fa3d295c71ff1bdcde6afd81b4