Paper Citation Record · LEDGER

The Equality Cases for the Grone-Merris-Bai Theorem

As of 10 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2607.23583.

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

pith.paper-citation-record.v1
2607.23583 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T18:24:21.070048Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

7 of 7 outbound references displayed

verified exact1
verified fuzzy0
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 415b9ea6-c388-4108-9668-2b78a8bb24dd · outbound

This paper cites an unresolved cited work.

The Equality Cases for the Grone-Merris-Bai Theorem Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:20.966235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd904f72-3865-45a8-b293-7c525622113f · outbound

This paper cites an unresolved cited work.

The Equality Cases for the Grone-Merris-Bai Theorem Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:21.012434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2ec9e41-2008-4e5a-80fc-598a40e01775 · outbound

This paper cites On Full Brouwer's Laplacian Conjecture.

The Equality Cases for the Grone-Merris-Bai Theorem On Full Brouwer's Laplacian Conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:21.049752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ccae075-41dd-4b81-9954-4fcc4a163e22 · outbound

This paper cites and Hammer P.

The Equality Cases for the Grone-Merris-Bai Theorem and Hammer P

Reference 4

Resolution: verified exact; doi, observed 2026-07-30T18:26:30.959888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d98b8476-4f52-4133-89d4-834c1be353be · outbound

This paper cites and Merris R.,The Laplacian spectrum of a graph II, SIAM J.

The Equality Cases for the Grone-Merris-Bai Theorem and Merris R.,The Laplacian spectrum of a graph II, SIAM J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:21.060524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ab15aee-fd55-4b4f-bdfd-5c7060fa5991 · outbound

This paper cites On Brouwer's Laplacian conjecture.

The Equality Cases for the Grone-Merris-Bai Theorem On Brouwer's Laplacian conjecture

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:21.065165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 710b6521-90e1-4407-a508-60ef3a3c997e · outbound

This paper cites an unresolved cited work.

The Equality Cases for the Grone-Merris-Bai Theorem Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T18:24:21.070048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.