Paper Citation Record · LEDGER

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs

As of 9 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.05939.

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

pith.paper-citation-record.v1
2608.05939 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:51:05.891333Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy5
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 456db65b-3a07-40bd-bf32-63e6e1a21c27 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:06.098821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b6adfcef-09a4-421b-8597-5ea7ab3963c0 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:06.085440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8465ecd0-bbaf-41aa-b1e1-16c6f65a9798 · outbound

This paper cites Cushing, S.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Cushing, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:51:06.071265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 437109a4-4d0e-4b06-ae1a-92bacf093cd5 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:06.057935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f2f9a993-ca31-48e5-8747-a3af341f6870 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:06.044197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 932bba02-6129-461e-ad6b-02eca88a0f48 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:06.030704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7b758a1d-c965-4781-963e-be4c7801d4f1 · outbound

This paper cites Evolution of weights on a connected finite graph.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Evolution of weights on a connected finite graph

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T20:51:05.866083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bcaf676-2138-4f5e-a0f9-7b29d3d759ee · outbound

This paper cites Minoux,Mathematical programming: theory and algorithms, John Wiley & Sons, 1986.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Minoux,Mathematical programming: theory and algorithms, John Wiley & Sons, 1986

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:51:06.016878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a6b98a45-df94-4fcf-9cbe-9fac3e91ab91 · outbound

This paper cites Münch, R.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Münch, R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:51:06.001435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bd38b040-80cb-40f7-8aea-c189fe21f6ea · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:05.987683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3346d933-d0e9-4df5-a03e-447b82a1b803 · outbound

This paper cites Ollivier,Ricci curvature of markov chains on metric spaces, J.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Ollivier,Ricci curvature of markov chains on metric spaces, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:51:05.973803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2ee38757-4cea-4ddc-a83a-6e43d0324baf · outbound

This paper cites Villani,Topics in optimal transportation, Graduate Studies in Mathematics, V ol.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Villani,Topics in optimal transportation, Graduate Studies in Mathematics, V ol

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:51:05.958375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6b9c192c-8909-4451-92b8-5e6e444d8339 · outbound

This paper cites an unresolved cited work.

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:51:05.941937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.