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Paper Citation Record · LEDGER

Linear operators preserving volume polynomials

As of 21 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 6 inbound Pith citation observations for arXiv:2506.22415.

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

pith.paper-citation-record.v1
2506.22415 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:26:13.841232Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:38:01.269895Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

2 of 2 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c04ad483-2546-4b05-8a24-6fee63b28dc7 · outbound

This paper cites an unresolved cited work.

Linear operators preserving volume polynomials Unresolved cited work

Reference 441

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:26:14.191311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:26:13.780059Z digest=sha256:46e4b1d02d9135017dc3ffcb36753fb149c770f37947b063c1259d0c3025837c

Observation 991ac35c-71ce-4399-a3d5-a692bf7fdbfe · outbound

This paper cites Diagonalizations of denormalized volume polynomials.

Linear operators preserving volume polynomials Diagonalizations of denormalized volume polynomials

Reference 1106

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T22:26:14.010606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:26:13.841232Z digest=sha256:61d71e7c9bc73043bbed70a965865082368058f27077aa5f86fab9e293ab66e9

Pith citing papers

Observation e5fb80f3-cc02-496f-9996-f74d2c901f5f · inbound

Volume polynomials cites this paper.

Volume polynomials Linear operators preserving volume polynomials

Reference 260

Resolution
unresolved
no resolver link, observed 2026-08-03T09:41:44.782377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T09:41:44.782377Z digest=sha256:f9a42dc0e85a65114638dcde6137a990033c5aeaf850afd8ca658faf01d72ae6

Observation b4469228-4d8d-4c03-ac53-2cf49bbb81c0 · inbound

Induced Lorentzian and volume polynomials cites this paper.

Induced Lorentzian and volume polynomials Linear operators preserving volume polynomials

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:21:08.484434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-08T16:13:42.058423Z digest=sha256:a3bb15ef74732a2b7a849043a11bd103b59b08226c1b8304d2a0add535b1482c

Observation 1ea8fd67-9e47-496c-a018-0161b9b49683 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Linear operators preserving volume polynomials

Reference 181

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.305120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:6f499778fb3b67cf4c19477559727c4e808cc0c724e5d7471c6301491fea1e6e

Observation 9bbdb3e3-5a62-4903-a880-aeab63343756 · inbound

Matroid correspondence cites this paper.

Matroid correspondence Linear operators preserving volume polynomials

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T03:59:04.540212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T03:59:04.540212Z digest=sha256:393ed2a68f8beb38879d4f4eae740d605d6dbc02a0d82a383321f29a394770a6

Observation 1156a538-c9c8-498d-808d-2bd58c31994a · inbound

Recognition of algebraic matroids is undecidable cites this paper.

Recognition of algebraic matroids is undecidable Linear operators preserving volume polynomials

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-02T00:50:17.967366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T00:50:17.967366Z digest=sha256:cfd6d8bcfb537bba1e4b24aa01fb4626f1530012b6d831a1150b6b9f9143c38e

Observation 0a4ccc87-8641-4e4f-9b82-82fcd8bd2d0b · inbound

Richardson volume models for skew Schur and skew Schur $P/Q$-functions cites this paper.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Linear operators preserving volume polynomials

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T14:38:01.269895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:38:01.269895Z digest=sha256:b4d609daf11f6646fad16d9237c1df61f479fc211b6762890266ec7392e5e707