Paper Citation Record · LEDGER

The existence and uniqueness of infinite combinatorial Yamabe flows

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.12355.

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

pith.paper-citation-record.v1
2507.12355 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:57:34.025518Z

measured 25 of 25 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T18:20:46.862806Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy17
unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ab81afd-dfa1-45e1-b3a0-6210b30f7f2e · outbound

This paper cites On a deformation of Riemannian structures on com- pact manifolds.

The existence and uniqueness of infinite combinatorial Yamabe flows On a deformation of Riemannian structures on com- pact manifolds

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.982062Z

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 3bd0c137-d866-44a7-992c-1c50f7a92466 · outbound

This paper cites Conformal deformation of a Riemannian metric to constant scalar curvature.

The existence and uniqueness of infinite combinatorial Yamabe flows Conformal deformation of a Riemannian metric to constant scalar curvature

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.966835Z

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 40f1bc94-2d01-4ae2-a0d7-1cfe96b4978a · outbound

This paper cites Combinatorial Yamabe flow on surfaces.

The existence and uniqueness of infinite combinatorial Yamabe flows Combinatorial Yamabe flow on surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.951499Z

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 b200c0f7-ef28-4683-a25d-3a78fa378fdf · outbound

This paper cites Flows of piecewise analytic vector fields in convex polytope decompositions.

The existence and uniqueness of infinite combinatorial Yamabe flows Flows of piecewise analytic vector fields in convex polytope decompositions

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:57:34.551893Z

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 ed3c278c-7cc5-4082-ad59-b552c3b76c37 · outbound

This paper cites On the deformation of discrete con- formal factors on surfaces.

The existence and uniqueness of infinite combinatorial Yamabe flows On the deformation of discrete con- formal factors on surfaces

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.936312Z

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 caaa30d1-ebe6-450b-a559-ddb7834da442 · outbound

This paper cites Bobenko, Ulrich Pinkall, and Boris A.

The existence and uniqueness of infinite combinatorial Yamabe flows Bobenko, Ulrich Pinkall, and Boris A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.921036Z

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 240423bb-33f7-4335-b5a2-b978e5765a7e · outbound

This paper cites A discrete uniformization theorem for polyhedral surfaces.

The existence and uniqueness of infinite combinatorial Yamabe flows A discrete uniformization theorem for polyhedral surfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.905863Z

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 e50c2d1f-a524-48ff-af98-86d34c322863 · outbound

This paper cites A discrete uniformization theorem for polyhedral surfaces II.

The existence and uniqueness of infinite combinatorial Yamabe flows A discrete uniformization theorem for polyhedral surfaces II

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.889572Z

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 8b7ebc81-4c26-4001-b812-226462fab645 · outbound

This paper cites Discrete conformal geometry of polyhedral surfaces and its convergence.

The existence and uniqueness of infinite combinatorial Yamabe flows Discrete conformal geometry of polyhedral surfaces and its convergence

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.872749Z

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 fc7512ee-2ac2-4f75-a1f4-dcf5f1c751bd · outbound

This paper cites Polyhedral hyperbolic metrics on surfaces.

The existence and uniqueness of infinite combinatorial Yamabe flows Polyhedral hyperbolic metrics on surfaces

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.856065Z

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 45fbb166-9c71-4be6-9905-601afd6645f9 · outbound

This paper cites Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds.

The existence and uniqueness of infinite combinatorial Yamabe flows Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.587210Z

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 1bf4e26b-17b0-4f5d-9398-96fceeafd62c · outbound

This paper cites The convergence of circle packings to the Riemann mapping.

The existence and uniqueness of infinite combinatorial Yamabe flows The convergence of circle packings to the Riemann mapping

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:36.215410Z

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 dddd8b99-1502-4898-9efd-6ab4ad9033ec · outbound

This paper cites an unresolved cited work.

The existence and uniqueness of infinite combinatorial Yamabe flows Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:57:35.804403Z

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 beb0e8e7-8711-493d-9d80-c5fea4ea6164 · outbound

This paper cites Rigidity of infinite disk patterns.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of infinite disk patterns

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T16:57:32.676435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 156b4392-43fb-476d-90c3-8032d8a5b329 · outbound

This paper cites Rigidity of infinite hexagonal triangulation of the plane.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of infinite hexagonal triangulation of the plane

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:35.622937Z

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 d614f194-feb7-4349-b388-ab1fdbef6e10 · outbound

This paper cites Rigidity of the hexagonal Delaunay triangulated plane.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of the hexagonal Delaunay triangulated plane

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:35.510438Z

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 22f77d90-f43a-4c0d-a65f-dc3f568b6964 · outbound

This paper cites Rigidity of the Delaunay triangulations of the plane.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of the Delaunay triangulations of the plane

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:35.413229Z

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 7ad1cd8e-33b1-4f46-a07d-3bcec2789e63 · outbound

This paper cites The rigidity of Doyle circle packings on the infinite hexagonal triangulation.

The existence and uniqueness of infinite combinatorial Yamabe flows The rigidity of Doyle circle packings on the infinite hexagonal triangulation

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:57:34.304325Z

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 dca8c612-f5bb-48c0-b992-99d5b779b56e · outbound

This paper cites Rigidity of circle packings with crosscuts.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of circle packings with crosscuts

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:35.300590Z

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 f9326cc0-d6be-4f1d-801f-fdfbaa29765c · outbound

This paper cites Combinatorial Ricci flows on infinite disk triangulations.

The existence and uniqueness of infinite combinatorial Yamabe flows Combinatorial Ricci flows on infinite disk triangulations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:57:33.512418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bef1c2a-512b-4558-ad3a-08ef808f9457 · outbound

This paper cites Combinatorial Ricci flows on surfaces.

The existence and uniqueness of infinite combinatorial Yamabe flows Combinatorial Ricci flows on surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T16:57:33.640577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fded0dfa-63dd-4774-ac30-ea5ac1191fdc · outbound

This paper cites Rigidity of polyhedral surfaces, III.

The existence and uniqueness of infinite combinatorial Yamabe flows Rigidity of polyhedral surfaces, III

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:35.178297Z

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 7dad7687-0f91-4ea1-ac1b-c14708aed37a · outbound

This paper cites an unresolved cited work.

The existence and uniqueness of infinite combinatorial Yamabe flows Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:57:34.991241Z

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 36d09eb7-940f-4b83-93df-c8a7df3c4982 · outbound

This paper cites Computational conformal ge- ometry, volume 3 of Advanced Lectures in Mathematics (ALM).

The existence and uniqueness of infinite combinatorial Yamabe flows Computational conformal ge- ometry, volume 3 of Advanced Lectures in Mathematics (ALM)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:57:34.770625Z

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

Observation 9e786332-b708-4616-af8c-522c08d1ac3c · inbound

Infinite Combinatorial Yamabe Flows in Three Dimensions cites this paper.

Infinite Combinatorial Yamabe Flows in Three Dimensions The existence and uniqueness of infinite combinatorial Yamabe flows

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-30T18:20:46.862806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.