Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:04:43.666918Z
Paper Citation Record · LEDGER
Spectral comparison results for Laplacians on discrete graphs
As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2412.15937.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T12:18:08.690524Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T07:59:40.444476Z
Reference resolution
22 of 22 outbound references displayed
- verified exact3
- verified fuzzy14
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation af1cd6ba-0449-49fe-b3ad-ce24c7b4da2b · outbound
This paper cites Ambarzumian.
Spectral comparison results for Laplacians on discrete graphs Ambarzumian
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:44.029911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a7ff00b9-c5e7-473f-8a2a-ea25892b6954 · outbound
This paper cites Borthwick, E.
Spectral comparison results for Laplacians on discrete graphs Borthwick, E
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:44.019498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4dced32f-5cff-4d81-a8a0-be0d715b0363 · outbound
This paper cites Bifulco and J.
Spectral comparison results for Laplacians on discrete graphs Bifulco and J
Reference 3
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T11:04:43.826671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5b49c0f0-6f6c-4c93-964b-d7b95057446e · outbound
This paper cites A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions.
Spectral comparison results for Laplacians on discrete graphs A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T11:04:43.709089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 80c8e225-3cc7-4f90-8479-82b780ae7c6f · outbound
This paper cites Bifulco and J.
Spectral comparison results for Laplacians on discrete graphs Bifulco and J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:44.009128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cae1d612-eb9a-46ba-bdf7-fe669c6ea0e8 · outbound
This paper cites Bifulco and J.
Spectral comparison results for Laplacians on discrete graphs Bifulco and J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.998832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c37da30-8f57-4c3b-9187-18434782fcd2 · outbound
This paper cites Bifulco and J.
Spectral comparison results for Laplacians on discrete graphs Bifulco and J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.989809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bbd6e9e3-f3bd-42e6-a694-38eb9a750667 · outbound
This paper cites Boman, P.
Spectral comparison results for Laplacians on discrete graphs Boman, P
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.977004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0d8df8d3-6094-41bc-8f6c-eda74a03c986 · outbound
This paper cites Bifulco and D.
Spectral comparison results for Laplacians on discrete graphs Bifulco and D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.964977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f6030e6e-9b27-42de-861d-70feadcdda5e · outbound
This paper cites an unresolved cited work.
Spectral comparison results for Laplacians on discrete graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T11:04:43.954985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0d7a9984-e031-465c-9f5d-75e03daf9a68 · outbound
This paper cites an unresolved cited work.
Spectral comparison results for Laplacians on discrete graphs Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T11:04:43.942267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d99948f8-accd-40e5-90ad-14e559259c4c · outbound
This paper cites Spectral asymptotics for Robin Laplacians on Lipschitz sets.
Spectral comparison results for Laplacians on discrete graphs Spectral asymptotics for Robin Laplacians on Lipschitz sets
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T11:04:43.694248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8e3020dc-0990-470e-ab63-5ee59233395b · outbound
This paper cites an unresolved cited work.
Spectral comparison results for Laplacians on discrete graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T11:04:43.932299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 09f91ee6-6256-4d51-99de-2097cfa474bf · outbound
This paper cites an unresolved cited work.
Spectral comparison results for Laplacians on discrete graphs Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T11:04:43.921656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c37d046-175f-4e59-b6e6-dc8f2f4f6cad · outbound
This paper cites Keller, D.
Spectral comparison results for Laplacians on discrete graphs Keller, D
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.909049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e3e984b9-eddc-43a4-9e4f-2553b880f6ea · outbound
This paper cites Keller, D.
Spectral comparison results for Laplacians on discrete graphs Keller, D
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.897830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b86b8f96-b5c8-4ddb-8996-32dace6b9111 · outbound
This paper cites Kurasov and R.
Spectral comparison results for Laplacians on discrete graphs Kurasov and R
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.888559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fa17d5a2-6a83-4c1a-b87a-ec03e4aa8cae · outbound
This paper cites an unresolved cited work.
Spectral comparison results for Laplacians on discrete graphs Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T11:04:43.878763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d989b322-f859-40ad-9667-085b981efb43 · outbound
This paper cites Latushkin and S.
Spectral comparison results for Laplacians on discrete graphs Latushkin and S
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.869047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 175264fd-b098-4bce-91a1-5be8b2af7402 · outbound
This paper cites Schanz R.
Spectral comparison results for Laplacians on discrete graphs Schanz R
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.858026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8f16b5e5-333a-4eaf-95a9-f0c57b7f92b9 · outbound
This paper cites Rudnick, I.
Spectral comparison results for Laplacians on discrete graphs Rudnick, I
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.848620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2e29e106-a2f0-4173-abdc-a6ecc4950573 · outbound
This paper cites Schm \"u dgen.
Spectral comparison results for Laplacians on discrete graphs Schm \"u dgen
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T11:04:43.838736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 7d35e167-9e71-4192-82f0-2cc5ebf2b561 · inbound
Ambarzumian-type theorems for Hermitian matrices with applications cites this paper.
Ambarzumian-type theorems for Hermitian matrices with applications Spectral comparison results for Laplacians on discrete graphs
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:59:40.445692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.