Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T02:40:59.115751Z
Paper Citation Record · LEDGER
The role of expanders in the spectral geometry of metric graphs
As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2607.14312.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
38 of 38 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved38
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 42c85297-3992-4891-867b-f25a6baa00b1 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:53.364965Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a07caa7f-557e-4dd1-ace1-8efcb99abcb6 · outbound
This paper cites Alon and V.D.
The role of expanders in the spectral geometry of metric graphs Alon and V.D
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:53.483662Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6687d1ac-9228-4681-b0e9-a1d45da592ee · outbound
This paper cites Alon and V.D.
The role of expanders in the spectral geometry of metric graphs Alon and V.D
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:53.640416Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 390abc8a-3198-431d-8c9f-e56be2de69e0 · outbound
This paper cites Baptista, J.B.
The role of expanders in the spectral geometry of metric graphs Baptista, J.B
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:53.821435Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8f4c886-0781-45d7-aed9-746355d4d8e2 · outbound
This paper cites von Below.
The role of expanders in the spectral geometry of metric graphs von Below
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.036694Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7ef230f-6e84-4bd3-8d7e-8d0f7c406257 · outbound
This paper cites Berkolaiko, J.B.
The role of expanders in the spectral geometry of metric graphs Berkolaiko, J.B
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.148038Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 432a6ba7-c736-49be-8b1e-e573b6915bec · outbound
This paper cites Bifulco and D.
The role of expanders in the spectral geometry of metric graphs Bifulco and D
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.314720Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3ea6012-161c-4abd-8f28-0517151510e4 · outbound
This paper cites Biggs and A.G.
The role of expanders in the spectral geometry of metric graphs Biggs and A.G
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.478580Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8da6a1a-6cea-4217-b5b4-4499b6d41f46 · outbound
This paper cites Casazza and J.C.
The role of expanders in the spectral geometry of metric graphs Casazza and J.C
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.643139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e7447112-9d13-42dc-8e26-997d1069cdde · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:54.826438Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0be42b1b-d73d-4dbe-8ad0-b1a5aeffbe0a · outbound
This paper cites Chung.Spectral Graph Theory, volume 92 ofReg.
The role of expanders in the spectral geometry of metric graphs Chung.Spectral Graph Theory, volume 92 ofReg
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.002331Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca59eade-2323-4adb-9212-c5e9bdd29b09 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.176867Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a94928e-0208-4407-b20e-fed113cc648f · outbound
This paper cites Doyle and J.E.
The role of expanders in the spectral geometry of metric graphs Doyle and J.E
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.359152Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 654a04a2-7549-46f2-9c26-88bb4863e7aa · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.486462Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b900ae9-93ba-4929-94b3-aba71b95c0cf · outbound
This paper cites Friedlander.
The role of expanders in the spectral geometry of metric graphs Friedlander
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.594310Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation febda6b9-37f5-4319-8d92-a4e6d3dec328 · outbound
This paper cites Garijo, A.
The role of expanders in the spectral geometry of metric graphs Garijo, A
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.775808Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8adf5b4-637a-41aa-9b8a-1664bb67d9b7 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:55.925494Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c43864a0-6dda-4dc6-b8ee-c9a06c56bdbf · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.054970Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f22f6a0-672f-40e1-a972-ea45c4a3ec2d · outbound
This paper cites Kennedy, P.
The role of expanders in the spectral geometry of metric graphs Kennedy, P
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.197782Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 070ce5e4-7cd4-46f2-b6de-240bd431d6d8 · outbound
This paper cites Kirchhoff.
The role of expanders in the spectral geometry of metric graphs Kirchhoff
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.316027Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5b9644e-d2bf-42ad-ba68-61d78c0557da · outbound
This paper cites Kowalski.An introduction to expander graphs, volume 26 ofCours Sp´ ec.
The role of expanders in the spectral geometry of metric graphs Kowalski.An introduction to expander graphs, volume 26 ofCours Sp´ ec
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.457238Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a04d0ff0-13b9-49b9-acdf-d3d633c1a15a · outbound
This paper cites Lubetzky and Y.
The role of expanders in the spectral geometry of metric graphs Lubetzky and Y
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.608586Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c540e90c-a55e-455c-8b1a-08171c67999d · outbound
This paper cites Lubotzky, R.
The role of expanders in the spectral geometry of metric graphs Lubotzky, R
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.794363Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d60cbf0a-a2fd-41fa-912a-b773bb30bdd9 · outbound
This paper cites Marcus, D.A.
The role of expanders in the spectral geometry of metric graphs Marcus, D.A
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:56.913060Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38baca85-152f-4f83-9ede-7b02754117b2 · outbound
This paper cites Marcus, D.A.
The role of expanders in the spectral geometry of metric graphs Marcus, D.A
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.064426Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60ebd9e7-2900-4dee-9c3e-e0d8e264cf33 · outbound
This paper cites Marcus, D.A.
The role of expanders in the spectral geometry of metric graphs Marcus, D.A
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.219678Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e40cf926-4f5c-43ff-9315-30c8ae37459b · outbound
This paper cites Margulis.
The role of expanders in the spectral geometry of metric graphs Margulis
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.411764Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f4eef26-9bb2-4cf8-9e31-38341942f8bb · outbound
This paper cites Margulis.
The role of expanders in the spectral geometry of metric graphs Margulis
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.581345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 487804a6-fb96-4c24-99db-12bb4b346669 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.697717Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 216e0b1a-89ab-4e1a-a506-0e76bb1055f3 · outbound
This paper cites What is actually a metric graph?.
The role of expanders in the spectral geometry of metric graphs What is actually a metric graph?
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.872031Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d1f9ffb-ffbb-490e-afac-c6571ca8e4b7 · outbound
This paper cites Mugnolo and M.
The role of expanders in the spectral geometry of metric graphs Mugnolo and M
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:57.991103Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8949efab-4222-483d-9dc7-f87f2f330c0a · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.164301Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c75da255-2529-40ce-87cf-a00962c0c702 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.346558Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c19fc3d-0f58-4cd2-85fb-51d7a9e28820 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.525069Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 703d85ad-306e-482f-8253-4e07e9dce1f8 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.678297Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72325ec8-43ac-431b-94da-e6c262161d98 · outbound
This paper cites Pl¨ umer.
The role of expanders in the spectral geometry of metric graphs Pl¨ umer
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.823637Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4013312-9fb1-4529-840f-1c92df911be2 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:58.969333Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a601d4b-46fb-4a8a-9e18-be813f9c6c07 · outbound
This paper cites an unresolved cited work.
The role of expanders in the spectral geometry of metric graphs Unresolved cited work
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T02:40:59.115751Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.