Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-12T02:51:11.412068Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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
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.
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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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.