Paper Citation Record · LEDGER

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.24762.

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

pith.paper-citation-record.v1
2505.24762 v4

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:26:38.190406Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy11
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f04f4917-90ae-4340-a989-7f97a9086276 · outbound

This paper cites and Stephenson, K.,The Uniformization Theorem for Circle Packings.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Stephenson, K.,The Uniformization Theorem for Circle Packings

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:40.439341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0e819fa3-8cb7-45c7-9d2e-0c32fc29e905 · outbound

This paper cites and Stephenson, K.,A branched Andreev-Thurston theorem for circle packings of the spheres, Proceedings of the London Mathematical Society, vol.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Stephenson, K.,A branched Andreev-Thurston theorem for circle packings of the spheres, Proceedings of the London Mathematical Society, vol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:40.187328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a39710bf-00a0-4bb3-8009-384ebc701a01 · outbound

This paper cites and Luo, F.,Combinatorial Ricci flows on surfaces.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Luo, F.,Combinatorial Ricci flows on surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:40.010152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0d01cbc7-6db1-4d83-a1c9-13b1810481af · outbound

This paper cites s3-104, pp.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ s3-104, pp

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:39.838888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2784ae62-beaa-434f-89e5-9c946f45100f · outbound

This paper cites an unresolved cited work.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:26:39.688080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 780b0272-1bd7-4f05-b7c0-f6b91d8ebad9 · outbound

This paper cites and Lin, A.,Branched combinatorial Calabi flows on surface, Advances in Applied Mathematics (Chinese), vol.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Lin, A.,Branched combinatorial Calabi flows on surface, Advances in Applied Mathematics (Chinese), vol

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:39.515265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5ab00fa7-51a0-48b5-bec1-439341f71d88 · outbound

This paper cites and Lin, A.,Branched combinatorial p-th Ricci flows on surfaces.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Lin, A.,Branched combinatorial p-th Ricci flows on surfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:39.371973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 33993ad3-f4a2-46d3-af52-2410f5a23058 · outbound

This paper cites and Xu, X.,α-curvatures and α-flows on low dimensional triangulated manifolds.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Xu, X.,α-curvatures and α-flows on low dimensional triangulated manifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:39.133488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9acc1b68-11c4-44c6-aa1b-74af0038cec9 · outbound

This paper cites and Xu, X.,A combinatorial Yamabe problem on two and three dimensional manifolds.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Xu, X.,A combinatorial Yamabe problem on two and three dimensional manifolds

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:38.925005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0a3abae6-fe34-4b07-a88a-6e40e3a52425 · outbound

This paper cites and Dai, D.,Variational principles for branched circle patterns.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ and Dai, D.,Variational principles for branched circle patterns

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:38.727969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f303b35-e5c9-4fea-bae0-653415870d4c · outbound

This paper cites Journal of Differential Geom- etry, vol.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ Journal of Differential Geom- etry, vol

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:38.564914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5a4b5b58-ed8e-4d74-8a16-c8f99a9e7cb5 · outbound

This paper cites W.,Geometry and Topology of 3-Manifolds.

Branched $\alpha$-combinatorial Ricci flows on closed surfaces with Euler characteristic $\chi\le 0$ W.,Geometry and Topology of 3-Manifolds

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:26:38.374428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.