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Paper Citation Record · LEDGER

Combinatorial Calabi flow for ideal circle pattern

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.01678.

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

pith.paper-citation-record.v1
2501.01678 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:33:41.065655Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ebff6efc-c9d8-494c-a915-66f2f6596b37 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.476277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 813c600d-471a-4e32-bd63-91a009b15cb5 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.460452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a6873aff-41e5-4c74-9295-05b22431fb40 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.445156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f36db2e2-1dde-4c40-af95-a3ac4909d3f1 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.429660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.954890Z digest=sha256:297480ebfcfdb9e85b1f36976437c7d4e1a8907d168deb59a616832e02d45cac

Observation f23a73c4-f6ff-4b4c-9169-6d7b908227dc · outbound

This paper cites Colin de Verdi` ere, Un principe variationnel pour les empilements de cercles , (French) Invent.

Combinatorial Calabi flow for ideal circle pattern Colin de Verdi` ere, Un principe variationnel pour les empilements de cercles , (French) Invent

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.414756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.959989Z digest=sha256:dbf04c724f115407004ee523e7301ece1203a3c03c11ebb2aa8c4f62e335b1c5

Observation adf30f2b-854d-43ef-9b4c-787043b0d937 · outbound

This paper cites Ge, Combinatorial methods and geometric equations , Thesis (Ph.D.), Peking University, Beijing, 2012.

Combinatorial Calabi flow for ideal circle pattern Ge, Combinatorial methods and geometric equations , Thesis (Ph.D.), Peking University, Beijing, 2012

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.400020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.965389Z digest=sha256:ed6608e5bdd25a1d3ae8b443bb6cbb5e9997de730fce421041d285101f2d4689

Observation aea644a6-fae5-4ba0-a4a8-f7108b3fea07 · outbound

This paper cites Ge, Combinatorial Calabi flows on surfaces , Trans.

Combinatorial Calabi flow for ideal circle pattern Ge, Combinatorial Calabi flows on surfaces , Trans

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.384946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 34af20df-d5cc-4294-ad69-245a46278034 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.368928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.976448Z digest=sha256:4eb186313a2dfe4d648847908e322f6c8c73357ca2d47f26046357e805812f90

Observation 039e0502-4cb6-482a-9964-4988041668fb · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.353825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.981549Z digest=sha256:e7ad5a8955b3a30fcda3c6093267798b146c57ca5b6b7d3c4273465805d89a6f

Observation 5e0d5d2f-75ee-473a-9dfd-216224cff128 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.337860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:40.987752Z digest=sha256:d5abd3c7e5b2ad467f0330265dd4e0a014c51d1a627479cbe95a4b80102b37a2

Observation 2c6ad32f-9a52-48c5-8a3d-06e3a18b996b · outbound

This paper cites Glickenstein, J.

Combinatorial Calabi flow for ideal circle pattern Glickenstein, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.322656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation edb8faa5-26dd-486d-9669-013a89bc5a4c · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.306878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0f7b7950-4d69-45eb-b7ec-3554d63e6ca0 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.290352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.003002Z digest=sha256:61deb8042f3b7e93487830c844c71a43182ada80b6b0734bef3e7f2dfaab52df

Observation 7aa3d99a-f8c2-46d9-98d1-7547a4019540 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.275515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.008852Z digest=sha256:ec0ef784f91baa84f7b6362ec2d7fa24178bb22107986b2680778f0d5e2de6eb

Observation 4560ae3f-591d-4cd7-8c73-a1d8d0fd6714 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.260349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.013897Z digest=sha256:82dccbcc64c51cbd0d66806659d8df0e71fade29bf61ef41f173a2b758287e70

Observation 0aa7f7a9-7846-49a2-9622-c00afb7de8a2 · outbound

This paper cites Rivin, A characterization of ideal polyhedra in hyperbolic 3-space, Ann.

Combinatorial Calabi flow for ideal circle pattern Rivin, A characterization of ideal polyhedra in hyperbolic 3-space, Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.244310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 76deed21-de0f-4abd-9141-1e0dd2f48c94 · outbound

This paper cites Rodin, D.

Combinatorial Calabi flow for ideal circle pattern Rodin, D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.229279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.025185Z digest=sha256:b4273398300a18e4ae58c1a85a8f8b8d7bc65be07eb597ce4dc4a03a4c13bfa6

Observation 77e9279a-cc0c-434e-9599-f29d48702365 · outbound

This paper cites Schramm, How to cage an egg , Invent.

Combinatorial Calabi flow for ideal circle pattern Schramm, How to cage an egg , Invent

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.213448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.029777Z digest=sha256:3304bc2b80e0b0865ddc7ad67fffe12ecfb829fe56e1ad97e553ab91b4573573

Observation 7d8ac85c-736b-4583-8fd4-1dc93b09e7ae · outbound

This paper cites Stephenson, Introduction to circle packing.

Combinatorial Calabi flow for ideal circle pattern Stephenson, Introduction to circle packing

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.197797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.034670Z digest=sha256:96ca8df5813056b3ea2c7dbc482b1acf741a2bf6db3d16b805f3e8b4de171690

Observation 7d5b1fdf-a385-4a0a-b409-1239fad59513 · outbound

This paper cites Thurston, Geometry and topology of 3-manifolds, Princeton Lecture Notes, 1976.

Combinatorial Calabi flow for ideal circle pattern Thurston, Geometry and topology of 3-manifolds, Princeton Lecture Notes, 1976

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.183927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2afb4844-79e4-4a7b-836b-ef49b7c444d7 · outbound

This paper cites Thurston, The finite Riemann mapping theorem.

Combinatorial Calabi flow for ideal circle pattern Thurston, The finite Riemann mapping theorem

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.169603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a4ca1349-7e27-490e-b3b1-a6625911ac15 · outbound

This paper cites Walter, Ordinary Differential Equations , Springer, New York, 1998.

Combinatorial Calabi flow for ideal circle pattern Walter, Ordinary Differential Equations , Springer, New York, 1998

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:33:41.155048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.050380Z digest=sha256:5852d851ca3010c7e2090a439d38a9271c5ac0f522d33121b61b170331f46cf4

Observation 56d1c4fd-17c2-4088-ba97-f34589f030e6 · outbound

This paper cites Fractional combinatorial Calabi flow on surfaces.

Combinatorial Calabi flow for ideal circle pattern Fractional combinatorial Calabi flow on surfaces

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T22:33:41.055184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:33:41.055184Z digest=sha256:d729c8e7013116101e90d846c0c0cb6fb36e68379f00f59169c845ba4ce68d48

Observation 6fac5283-7908-46eb-a3a7-33ec9aeb5274 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flow for ideal circle pattern Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:33:41.138213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:33:41.060760Z digest=sha256:768fd321fbeecf815f679fef7c823a32c82c13ab7a31ddccfe3b05beab8b1ff9

Observation 5ed23cf2-0e3f-42d1-9e87-03dfcbca7851 · outbound

This paper cites Circle patterns with obtuse exterior intersection angles.

Combinatorial Calabi flow for ideal circle pattern Circle patterns with obtuse exterior intersection angles

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T22:33:41.065655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:33:41.065655Z digest=sha256:1187b06012adbc5dfaaf7c56e1e8198dd60e071de87de78727e53b4ba8a1d7bb

Pith citing papers

No inbound Pith citation observations are available.