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Paper Citation Record · LEDGER

Addition theorems for Ziegler pairs of hyperplane arrangements

As of 21 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 2026-08-21T06:32:19.484+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:bc732d361ea152135a32de44a334143527be021de56dbb4d5b7a07be7a0d783f

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=sha256:9d433f2b905eba59c25de1ea03092a758366ab1675893dd482fc63e8ca6c1e68

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=sha256:9f9e1224a4b67e56b491a786ce5cdb1dba7bd065a01bf8ea271f0d7fe29383e0

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=sha256:7f78eadc47f55c936fa8785cd8fcfcffd0e27c52ed6dcf1ab7d1c631735a7a1c

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:ebb15e6e14ad9a5907775a116d956d26acd0bb0d71d8790e50f3640899f5fef1

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=sha256:4f089b66808fd6dcb24a39517da382ec7c538fabe5e983ce1f31c6e19ffeb749

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:a62365836d0aa9fa42803aab94d5520b06d88454d736f9f29120a18cc36bd659

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:baf3e4ec8b4dee0a2aa6cbc695c964592a3ad30ee6f73a07aaacc9610f3ce823

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=sha256:127cfa185f50479bc0cf0540fd17bd36e69d0a56d0c3c2ae672d3e090da3db43

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-13T18:06:56.705675Z digest=sha256:a29ab481f27dc38cdab212cd355b8bf1efead8105258fcea86920272092d2de1