Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:35:45.349745Z
Paper Citation Record · LEDGER
High-girth near-Ramanujan graphs with localized eigenvectors
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.03694.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
19 of 19 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d0c09d4d-7706-4390-a6be-fef661b6339d · outbound
This paper cites Permutations resilient to deletions.
High-girth near-Ramanujan graphs with localized eigenvectors Permutations resilient to deletions
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.650272Z
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.
Observation fc3686b9-ae7d-4fd7-923b-c251dba38d95 · outbound
This paper cites Quantum ergodicity on large regular graphs.
High-girth near-Ramanujan graphs with localized eigenvectors Quantum ergodicity on large regular graphs
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.636022Z
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.
Observation e0ef6d9f-c041-440b-9345-9a3ed0e6ad6e · outbound
This paper cites Delocalization of schr \"o dinger eigenfunctions.
High-girth near-Ramanujan graphs with localized eigenvectors Delocalization of schr \"o dinger eigenfunctions
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.621977Z
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.
Observation 3a79ed0c-b98e-4f08-9393-c17ed236e37f · outbound
This paper cites Non-localization of eigenfunctions on large regular graphs.
High-girth near-Ramanujan graphs with localized eigenvectors Non-localization of eigenfunctions on large regular graphs
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.607910Z
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.
Observation a8d3592b-27ed-4b30-a400-797bb4f502e7 · outbound
This paper cites Quantum ergodicity and averaging operators on the sphere.
High-girth near-Ramanujan graphs with localized eigenvectors Quantum ergodicity and averaging operators on the sphere
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.593107Z
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.
Observation 8aa97e1f-1910-4bdd-ace4-551eb001c0b7 · outbound
This paper cites Ergodicit \'e et fonctions propres du laplacien.
High-girth near-Ramanujan graphs with localized eigenvectors Ergodicit \'e et fonctions propres du laplacien
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.576963Z
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.
Observation 10e4e215-b915-422a-b65c-355e2190f40b · outbound
This paper cites Regul \"a re graphen gegebener taillenweite mit minimaler knotenzahl.
High-girth near-Ramanujan graphs with localized eigenvectors Regul \"a re graphen gegebener taillenweite mit minimaler knotenzahl
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.561989Z
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.
Observation 8b6df58e-d7cc-4be0-b229-c90b7fffb000 · outbound
This paper cites On Non-localization of Eigenvectors of High Girth Graphs.
High-girth near-Ramanujan graphs with localized eigenvectors On Non-localization of Eigenvectors of High Girth Graphs
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:35:45.391151Z
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.
Observation b9806cee-47c5-43b7-a76b-3af7fa04c392 · outbound
This paper cites Ergodic billiards that are not quantum unique ergodic (with an appendix by andrew hassell and luc hillairet).
High-girth near-Ramanujan graphs with localized eigenvectors Ergodic billiards that are not quantum unique ergodic (with an appendix by andrew hassell and luc hillairet)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.547163Z
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.
Observation c60ca918-3595-4e79-9b39-5384a55fd47c · outbound
This paper cites Expander graphs and their applications.
High-girth near-Ramanujan graphs with localized eigenvectors Expander graphs and their applications
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.532513Z
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.
Observation 28122cac-f05a-4cf7-94a1-d319b3a9e71e · outbound
This paper cites On the second eigenvalue and linear expansion of regular graphs.
High-girth near-Ramanujan graphs with localized eigenvectors On the second eigenvalue and linear expansion of regular graphs
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.516427Z
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.
Observation f32bb453-ce6f-4cd4-a506-a878d106c1c9 · outbound
This paper cites Eigenvalues and expansion of regular graphs.
High-girth near-Ramanujan graphs with localized eigenvectors Eigenvalues and expansion of regular graphs
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:35:45.318768Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44ac0edc-f6e5-40c6-9b18-7a7e7a147b47 · outbound
This paper cites Quantum ergodicity and benjamini--schramm convergence of hyperbolic surfaces.
High-girth near-Ramanujan graphs with localized eigenvectors Quantum ergodicity and benjamini--schramm convergence of hyperbolic surfaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.492366Z
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.
Observation 717787a2-55d4-4d34-b2ab-76eb4a682dbc · outbound
This paper cites Ramanujan graphs.
High-girth near-Ramanujan graphs with localized eigenvectors Ramanujan graphs
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:35:45.327859Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06d65da2-b2e7-4d5b-a631-69cae4eb6391 · outbound
This paper cites Ramanujan graphs.
High-girth near-Ramanujan graphs with localized eigenvectors Ramanujan graphs
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.467200Z
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.
Observation d61d6389-163e-414a-9c25-3bcc470946c2 · outbound
This paper cites On the second eigenvalue of a graph.
High-girth near-Ramanujan graphs with localized eigenvectors On the second eigenvalue of a graph
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.452232Z
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.
Observation 45463a80-49fb-42c6-9e50-5b230d74cace · outbound
This paper cites Recent progress on the quantum unique ergodicity conjecture.
High-girth near-Ramanujan graphs with localized eigenvectors Recent progress on the quantum unique ergodicity conjecture
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.437769Z
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.
Observation 48c7cae7-614a-4545-bd9e-0dce127682c5 · outbound
This paper cites Ergodic properties of eigenfunctions.
High-girth near-Ramanujan graphs with localized eigenvectors Ergodic properties of eigenfunctions
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.421926Z
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.
Observation f7f26887-40d2-4217-ac37-cc7004a76a72 · outbound
This paper cites Uniform distribution of eigenfunctions on compact hyperbolic surfaces.
High-girth near-Ramanujan graphs with localized eigenvectors Uniform distribution of eigenfunctions on compact hyperbolic surfaces
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:35:45.406705Z
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.
Pith citing papers
No inbound Pith citation observations are available.