Paper Citation Record · LEDGER

Probability, Curvature and Spectrum on Graphs

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.21639.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.21639 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:18:39.512786Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3da1878b-7682-4103-9a10-109970f7f327 · outbound

This paper cites Journal of Mathematical Physics , volume=.

Probability, Curvature and Spectrum on Graphs Journal of Mathematical Physics , volume=

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.624034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27837148-baca-4d4d-ab8c-c097e6bbc2bc · outbound

This paper cites 2025 , eprint =.

Probability, Curvature and Spectrum on Graphs 2025 , eprint =

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.698752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fac17d10-70a9-4a96-b898-cae2a0d37dc5 · outbound

This paper cites 2024 , doi =.

Probability, Curvature and Spectrum on Graphs 2024 , doi =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.776714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db09cdeb-ffd5-4fc9-868a-9111a94ee00d · outbound

This paper cites Journal of Physics A: Mathematical and General , volume =.

Probability, Curvature and Spectrum on Graphs Journal of Physics A: Mathematical and General , volume =

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.884897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54150d1e-2423-471f-a973-e47cf9c6048c · outbound

This paper cites an unresolved cited work.

Probability, Curvature and Spectrum on Graphs Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.964544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 404a7dc2-b56f-4c9d-8337-2d618d4a5b2a · outbound

This paper cites Annales Henri Poincar.

Probability, Curvature and Spectrum on Graphs Annales Henri Poincar

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:38.997239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0637aaf8-36be-4fb4-a6f2-ec6609bc4a16 · outbound

This paper cites Journal of Physics A: Mathematical and Theoretical , volume =.

Probability, Curvature and Spectrum on Graphs Journal of Physics A: Mathematical and Theoretical , volume =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:39.177399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b67f909-04f1-42c8-9133-2fdf832e2860 · outbound

This paper cites Annals of Physics , volume =.

Probability, Curvature and Spectrum on Graphs Annals of Physics , volume =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:39.226277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1468db0-a73a-42d6-9f65-975e647ff388 · outbound

This paper cites 2026 , eprint =.

Probability, Curvature and Spectrum on Graphs 2026 , eprint =

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:39.324906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3fde3ac-a2cd-46e7-882a-85ea21167410 · outbound

This paper cites Journal of the European Mathematical Society , volume =.

Probability, Curvature and Spectrum on Graphs Journal of the European Mathematical Society , volume =

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T04:18:39.512786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.