Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T14:17:57.337260Z
Paper Citation Record · LEDGER
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 3 inbound Pith citation observations for arXiv:2606.21233.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:42:41.019858Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T05:05:30.745476Z
Reference resolution
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f600d1c4-4f33-4669-84ab-e5081512ca61 · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b46ffd6a-b42d-4398-bdfa-c31531132e2e · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 719f4dc8-a119-4ff7-adc1-827f0f8807b1 · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d286ea8b-e233-4c88-b3cf-72fbb336b137 · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78702cf2-e62c-4052-a321-0cbde9a8f2bc · outbound
This paper cites Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex, Commentarii Math- ematici Helvetici 17 (1944), 240–255.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex, Commentarii Math- ematici Helvetici 17 (1944), 240–255
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6846bb8a-e202-4d7e-8056-b4b21e42f04c · outbound
This paper cites Fan, H.-F.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Fan, H.-F
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66effe34-389f-4190-8787-c732c5f3334a · outbound
This paper cites Horak and J.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Horak and J
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92df800f-4549-49f1-bf35-043af80bd17e · outbound
This paper cites Horak and J.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Horak and J
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a938032-2548-4959-889e-8c84a9e14f03 · outbound
This paper cites Merris, Laplacian matrices of graphs: a survey, Linear Algebra and its Applications , 197–198 (1994), 143–176.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Merris, Laplacian matrices of graphs: a survey, Linear Algebra and its Applications , 197–198 (1994), 143–176
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29fb911f-051a-4e66-83de-d72843a5afe4 · outbound
This paper cites Merris, Laplacian graph eigenvectors, Linear Algebra and its Applications , 278 (1998), 221–236.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Merris, Laplacian graph eigenvectors, Linear Algebra and its Applications , 278 (1998), 221–236
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54fb5ecc-5a09-40e9-ac2b-0f53c73fe222 · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd449843-ade7-4e86-93cb-6a56f8a2340b · outbound
This paper cites an unresolved cited work.
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T14:17:57.337260Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 8d8e7bd1-e7bb-43b0-b662-3c6c9f06c6c6 · inbound
The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality cites this paper.
The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T10:59:33.649152Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e72cc0f3-8d9d-46d1-99a2-f036631ba1f8 · inbound
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes cites this paper.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:41.019858Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2af42643-9380-451d-810b-22a6498c5e81 · inbound
Eigenvalue growth of the discrete Hodge Laplacian across dimensions cites this paper.
Eigenvalue growth of the discrete Hodge Laplacian across dimensions Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T05:05:30.752959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.