Paper Citation Record · LEDGER

On Full Brouwer's Laplacian Conjecture

As of 10 August 2026, this Paper Citation Record lists 15 of 15 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.

pith.paper-citation-record.v1
2607.03388 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:51:11.412068Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:34:59.778446Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T07:16:52.872247Z

Reference resolution

15 of 15 outbound references displayed

verified exact7
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d01d640d-6784-4987-9059-c08fecfcf4f5 · outbound

This paper cites Jochem Berndsen.

On Full Brouwer's Laplacian Conjecture Jochem Berndsen

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5537f342-178f-4420-9063-673011f1b431 · outbound

This paper cites Xiaodan Chen.

On Full Brouwer's Laplacian Conjecture Xiaodan Chen

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9bb9856-68af-4d4b-a3f3-2a4ef2b4443f · outbound

This paper cites Xiaodan Chen and Junwei Zi.

On Full Brouwer's Laplacian Conjecture Xiaodan Chen and Junwei Zi

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f6dcb58-9857-4158-b6d4-19790a6d7544 · outbound

This paper cites Joshua N.

On Full Brouwer's Laplacian Conjecture Joshua N

Reference 4

Resolution: verified exact; doi, observed 2026-07-12T02:58:27.052198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7f1e9299-0cd0-459d-9b9e-c783ff7b2a8a · outbound

This paper cites Zhibin Du and Bo Zhou.

On Full Brouwer's Laplacian Conjecture Zhibin Du and Bo Zhou

Reference 5

Resolution: verified exact; doi, observed 2026-07-12T02:58:27.088442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b640eec0-cc80-48fb-9995-2d60efdfc4a0 · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04a37d57-dea4-41bd-b0e5-4a98e4620b47 · outbound

This paper cites Robert Grone and Russell Merris.

On Full Brouwer's Laplacian Conjecture Robert Grone and Russell Merris

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9366ab65-e871-41e3-a20d-7f5ac277cf89 · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ff0cc55-b5ae-4db6-9495-1972bda2243d · outbound

This paper cites 2009.03.038.

On Full Brouwer's Laplacian Conjecture 2009.03.038

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19063bbf-22a0-4071-8fdc-e12e8f506a12 · outbound

This paper cites An approximate version of brouwer’s laplacian conjecture.arXiv preprint, 2026a.

On Full Brouwer's Laplacian Conjecture An approximate version of brouwer’s laplacian conjecture.arXiv preprint, 2026a

Reference 10

Resolution: verified exact; doi, observed 2026-07-12T02:58:27.110602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0562f700-2c72-4c4e-8a8e-ef668dff5a40 · outbound

This paper cites Zhen Lin and Ke Wang.

On Full Brouwer's Laplacian Conjecture Zhen Lin and Ke Wang

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-12T02:58:27.062134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 852d4831-fa3a-483d-afdb-2083e2b8b5ff · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-07-12T02:58:27.077927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a4479d0-545d-496d-92aa-0cfe2b29a67f · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-12T02:58:27.095582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 630aa544-05d3-4a17-9f09-b619c49fa69a · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-07-12T02:58:27.073342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e720a613-afa9-48c2-a304-48c8ea33415d · outbound

This paper cites an unresolved cited work.

On Full Brouwer's Laplacian Conjecture Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T02:51:11.412068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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 On Full Brouwer's Laplacian Conjecture

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 2026-08-09T06:31:02.800959+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 On Full Brouwer's Laplacian Conjecture

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 On Full Brouwer's Laplacian Conjecture

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 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.