Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The Equality Cases For the Laplacian Conjecture of Brouwer
As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2607.03388.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T18:34:59.778446Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T07:16:52.872247Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 243eddf7-e5a2-4c88-9049-eb3e3ac98e6e · inbound
Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture cites this paper.
Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture The Equality Cases For the Laplacian Conjecture of Brouwer
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T07:16:52.873611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4f852a1d-ba77-49ab-b28e-e6ed9e65af1f · inbound
Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture cites this paper.
Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture The Equality Cases For the Laplacian Conjecture of Brouwer
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T15:33:15.240468Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76a7301b-51c9-4a5c-b89e-0777b09848a0 · inbound
Characterizing the equality case in Brouwer's inequality for Laplacian eigenvalues cites this paper.
Characterizing the equality case in Brouwer's inequality for Laplacian eigenvalues The Equality Cases For the Laplacian Conjecture of Brouwer
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T18:34:59.778446Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2ec9e41-2008-4e5a-80fc-598a40e01775 · inbound
The Equality Cases for the Grone-Merris-Bai Theorem cites this paper.
The Equality Cases for the Grone-Merris-Bai Theorem The Equality Cases For the Laplacian Conjecture of Brouwer
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.