Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:29:01.544593Z
Paper Citation Record · LEDGER
Piecewise-linear Ricci curvature flows on weighted graphs
As of 9 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 5 inbound Pith citation observations for arXiv:2505.15395.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T15:29:24.205378Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T14:39:58.093157Z
Reference resolution
33 of 33 outbound references displayed
- verified exact1
- verified fuzzy22
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 14a4d90e-bbeb-438c-b32f-2af242775d77 · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:08.866620Z
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 511068c2-a855-4e6b-821d-6fe88507ccf5 · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:08.762125Z
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 bf620aa3-9426-4f24-956b-6bde4123e9c0 · outbound
This paper cites Bhowmick, B.
Piecewise-linear Ricci curvature flows on weighted graphs Bhowmick, B
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:08.439504Z
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 fdf5fb6a-05f3-41a4-bea1-badf265cf4c4 · outbound
This paper cites Clauset, M.
Piecewise-linear Ricci curvature flows on weighted graphs Clauset, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:08.140068Z
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 938a10a7-b415-4d6e-ae93-7200a7db2961 · outbound
This paper cites Danon, J.
Piecewise-linear Ricci curvature flows on weighted graphs Danon, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:07.815190Z
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 33bbfbde-7129-477a-ae3f-e53afbd270f9 · outbound
This paper cites Forman, Bochner’s method for cell complexes and combinatorial Ricci curvature, Discrete Comput.
Piecewise-linear Ricci curvature flows on weighted graphs Forman, Bochner’s method for cell complexes and combinatorial Ricci curvature, Discrete Comput
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:07.575488Z
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 ace3dbb0-69a8-4e02-9db5-f20940d8a950 · outbound
This paper cites Girvan, M.
Piecewise-linear Ricci curvature flows on weighted graphs Girvan, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:07.276662Z
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 eb7d6b89-4865-475d-b98d-4f7be1363a82 · outbound
This paper cites Guillaume, Fast unfolding of communities in large networks, J.
Piecewise-linear Ricci curvature flows on weighted graphs Guillaume, Fast unfolding of communities in large networks, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:07.060176Z
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 ca605070-1e8b-46ba-979e-d4261f40a8e7 · outbound
This paper cites Haantjes, Discrete geometry: curvature in abstract metric spaces, Proc.
Piecewise-linear Ricci curvature flows on weighted graphs Haantjes, Discrete geometry: curvature in abstract metric spaces, Proc
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:06.918154Z
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 e6d4ec9f-2dc3-4836-bbbf-1936a5b4bded · outbound
This paper cites Hamilton, Three-manifolds with positive ricci curvature, J.
Piecewise-linear Ricci curvature flows on weighted graphs Hamilton, Three-manifolds with positive ricci curvature, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:06.752484Z
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 14e6aa6c-7991-4c4d-9074-eaf809759130 · outbound
This paper cites Variational Graph Auto-Encoders.
Piecewise-linear Ricci curvature flows on weighted graphs Variational Graph Auto-Encoders
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:28:58.697227Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d62e546-d20d-410a-98d8-7aa32e8014f6 · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:06.507053Z
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 46c6fe2d-dee0-4311-ab31-9760764e9115 · outbound
This paper cites Lancichinetti, S.
Piecewise-linear Ricci curvature flows on weighted graphs Lancichinetti, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:06.347736Z
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 7470a517-e458-481b-87d1-c1b2d04b8034 · outbound
This paper cites Leskovec, SNAP datasets: Stanford large network dataset collection, http: //snap.stanford.edu/data, 2014.
Piecewise-linear Ricci curvature flows on weighted graphs Leskovec, SNAP datasets: Stanford large network dataset collection, http: //snap.stanford.edu/data, 2014
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:06.156546Z
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 a0d441f0-5a51-4c6c-90c1-27567f1eaa8e · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:28:59.318489Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation afd92470-e716-4748-a2e0-d0c592d189cc · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:05.982636Z
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 ae78f016-f1e5-44c7-ad37-0d18293d0335 · outbound
This paper cites A modified Ricci flow on arbitrary weighted graph.
Piecewise-linear Ricci curvature flows on weighted graphs A modified Ricci flow on arbitrary weighted graph
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:29:01.816875Z
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 e692f46d-dc2b-4223-b2ef-7376e9426cbb · outbound
This paper cites Evolution of weights on a connected finite graph.
Piecewise-linear Ricci curvature flows on weighted graphs Evolution of weights on a connected finite graph
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:28:59.721383Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 570117e4-31ec-4466-b07a-d94fc2415d22 · outbound
This paper cites Menger, Untersuchungen ¨uber allgemeine metrik, vierte untersuchung, zur metrik der kurven, Math.
Piecewise-linear Ricci curvature flows on weighted graphs Menger, Untersuchungen ¨uber allgemeine metrik, vierte untersuchung, zur metrik der kurven, Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:05.746668Z
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 57070968-e4cf-4c9c-8d19-cf1a9c8b7b8e · outbound
This paper cites Newman, Networks: an introduction, Oxford Univ.
Piecewise-linear Ricci curvature flows on weighted graphs Newman, Networks: an introduction, Oxford Univ
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:05.492511Z
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 534c64f4-9135-4123-b630-35532a69e44b · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 21
- Resolution
- unresolved
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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 36cc1df3-52d1-40f6-bbcb-0e7fa4680b8b · outbound
This paper cites Ollivier, Ricci curvature of markov chains on metric spaces, J.
Piecewise-linear Ricci curvature flows on weighted graphs Ollivier, Ricci curvature of markov chains on metric spaces, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:05.025885Z
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 c33bc83e-c41a-4aa9-9e15-446600b09988 · outbound
This paper cites Perelman, The entropy formula for the ricci flow and its geometric applications, arXiv: 0211159, 2002.
Piecewise-linear Ricci curvature flows on weighted graphs Perelman, The entropy formula for the ricci flow and its geometric applications, arXiv: 0211159, 2002
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:04.797490Z
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 007b6612-55e2-4c8b-ba5d-de8bf872ea61 · outbound
This paper cites Pons and M.
Piecewise-linear Ricci curvature flows on weighted graphs Pons and M
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:04.406066Z
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 04a93f23-453a-4886-859f-70b6e3159372 · outbound
This paper cites Raghavan, R.
Piecewise-linear Ricci curvature flows on weighted graphs Raghavan, R
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:04.171646Z
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 0d915dc8-6726-4a03-9c25-cc2c2f988d81 · outbound
This paper cites Rosvall, C.
Piecewise-linear Ricci curvature flows on weighted graphs Rosvall, C
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:03.911371Z
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 1733ed01-f168-4ccf-beb4-4c4e9dedc164 · outbound
This paper cites Samal, H.
Piecewise-linear Ricci curvature flows on weighted graphs Samal, H
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:03.649006Z
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 d87d51c4-0ec8-4fbf-ae4d-6c63030448b0 · outbound
This paper cites Serrat, Knowledge solutions: Tools, methods, and approaches to drive organizational performance, Springer, 2017.
Piecewise-linear Ricci curvature flows on weighted graphs Serrat, Knowledge solutions: Tools, methods, and approaches to drive organizational performance, Springer, 2017
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:03.405146Z
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 8525cf13-6d2e-48ee-8115-38781a17ae83 · outbound
This paper cites Sreejith, K.
Piecewise-linear Ricci curvature flows on weighted graphs Sreejith, K
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:03.165126Z
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 28b42794-3bc6-45a7-b439-e59e460ec4be · outbound
This paper cites Tauro, C.
Piecewise-linear Ricci curvature flows on weighted graphs Tauro, C
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:02.896502Z
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 317cea63-b337-47f2-91c9-c3ac38f709c5 · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:02.638778Z
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 1d5ce735-f846-4519-8b4c-a4e6c0f9365a · outbound
This paper cites an unresolved cited work.
Piecewise-linear Ricci curvature flows on weighted graphs Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:29:02.360738Z
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 6215382d-8f32-48b3-bd0b-c8b6951224cc · outbound
This paper cites Zachary, An information flow model for conflict and fission in small groups, J.
Piecewise-linear Ricci curvature flows on weighted graphs Zachary, An information flow model for conflict and fission in small groups, J
Reference 33
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- verified fuzzy
- raw_fallback, observed 2026-08-07T15:29:02.190471Z
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
Observation 1b9e672e-c45f-4442-ad9c-9e9e052b5a57 · inbound
The Ricci flow with prescribed curvature on graphs cites this paper.
The Ricci flow with prescribed curvature on graphs Piecewise-linear Ricci curvature flows on weighted graphs
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T13:30:01.732415Z
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 fbd18360-c703-4f7b-8b72-7734eb55a58f · inbound
The Calabi flow with prescribed curvature on finite graphs cites this paper.
The Calabi flow with prescribed curvature on finite graphs Piecewise-linear Ricci curvature flows on weighted graphs
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:53:08.310198Z
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 3ed87c23-2afc-4638-9e5d-341de857c334 · inbound
An Efficient Entropy Flow on Weighted Graphs: Theory and Applications cites this paper.
An Efficient Entropy Flow on Weighted Graphs: Theory and Applications Piecewise-linear Ricci curvature flows on weighted graphs
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T06:41:00.694029Z
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 6d12ea71-14a5-43f5-b5d7-8239c18e83f6 · inbound
The Ollivier Ricci flow with prescribed curvature on infinite graphs cites this paper.
The Ollivier Ricci flow with prescribed curvature on infinite graphs Piecewise-linear Ricci curvature flows on weighted graphs
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T03:07:35.510790Z
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 d18455ce-62b1-4b81-ba02-e29f7797e8b0 · inbound
Evolving edge weights via local entropy flow and cohesion flow on graphs cites this paper.
Evolving edge weights via local entropy flow and cohesion flow on graphs Piecewise-linear Ricci curvature flows on weighted graphs
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T14:39:58.094622Z
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.