Pith. sign in

Paper Citation Record · LEDGER

Combinatorial Calabi flows with ideal circle patterns

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2501.01605.

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

pith.paper-citation-record.v1
2501.01605 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:30:12.108058Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5b0ce4e-b7a9-4c5f-b9b5-d7724240fa04 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.773215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.944594Z digest=sha256:d7dda5a8847bd5c6cb713817a0c87ddf369e832001bce9c1f68da04eead91024

Observation 2ef2f971-a87b-463e-8f19-29f9717b04e7 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.750792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.950115Z digest=sha256:dea21e7990f44325dd0c9367f1d8ed4fcff53b09da5f25f5a63163886a18b6d1

Observation c3c862ba-8992-4e9d-999d-4f8a2194c1be · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.733406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.955120Z digest=sha256:71cdcd575c2a941a9e62cde1c6353481a626b6061319ce6abe48d6278445c34e

Observation 7d4ba00c-fe49-42f4-baf6-425733dcf18b · outbound

This paper cites Bobenko, B.A.

Combinatorial Calabi flows with ideal circle patterns Bobenko, B.A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.716813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.960292Z digest=sha256:797b6fa79498ada2bd0ed33d57438510e923938879b29f6be029c6c45f500bb6

Observation 6f1b1bec-5082-4b8a-a609-ba8f83d860ce · outbound

This paper cites Chow, The Ricci flow on the 2-sphere , J.

Combinatorial Calabi flows with ideal circle patterns Chow, The Ricci flow on the 2-sphere , J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.694856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.966519Z digest=sha256:6aa437c2c6c57962da1c5f17f9d3c73799e38d1274adf1df52c6635cc7e75cd0

Observation 15881c56-014f-4040-9b82-cf0490ed2a37 · outbound

This paper cites Chow and F.

Combinatorial Calabi flows with ideal circle patterns Chow and F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.673007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.971744Z digest=sha256:7f2e0644510bec7953c5165c8ffd1c187405eecbb38ffa72eec820cca5eec1c4

Observation 571ec316-887b-4fa7-9d0a-9c260c2df051 · outbound

This paper cites Chang, The 2-dimensional Calabi flow , Nagoya Math.

Combinatorial Calabi flows with ideal circle patterns Chang, The 2-dimensional Calabi flow , Nagoya Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.654724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.978649Z digest=sha256:3f39f17b2374fee67ac9f7048feab43d911e3a676aacee37ba0997ea1ba5239a

Observation 5437b3ba-c25c-4926-ad44-5857832a793e · outbound

This paper cites Chang, Global existence and convergence of solutions of Calabi flow on surfaces of genus , J.

Combinatorial Calabi flows with ideal circle patterns Chang, Global existence and convergence of solutions of Calabi flow on surfaces of genus , J

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-10T22:30:12.268959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.984720Z digest=sha256:81a3fa3c7b77f2a08d0cd6a08d947ad4447bd82466f11214ca3703dad8adc5d4

Observation a97f1082-1970-4596-8eb0-a074a7ae6e52 · outbound

This paper cites Chen, Calabi flow in Riemann surfaces revisited: a new point of view , Internat.

Combinatorial Calabi flows with ideal circle patterns Chen, Calabi flow in Riemann surfaces revisited: a new point of view , Internat

Reference 9

Resolution
verified exact
doi, observed 2026-08-10T22:30:12.158538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.989915Z digest=sha256:d0e4f761bf978455f867eacea6ef6c9042dfbc07549e3f7bdd47c4cefca936eb

Observation e8ab68ac-c8aa-40fa-8a98-53f716d1a96a · outbound

This paper cites Calabi, Extremal K¨ ahler metrics, Seminar on Differential Geometry, Ann.

Combinatorial Calabi flows with ideal circle patterns Calabi, Extremal K¨ ahler metrics, Seminar on Differential Geometry, Ann

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.635532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:11.995311Z digest=sha256:a81c0a3942aecc8e55cb7d195e0c62736638e07f312df829f0da440b4eea9892

Observation 2620c5ab-ca93-4bdd-9f18-f1620c61adda · outbound

This paper cites Calabi, Extremal K¨ ahler metrics.II , Differential geometry and complex analysis, Springer, Berlin, 1985, 95-114.

Combinatorial Calabi flows with ideal circle patterns Calabi, Extremal K¨ ahler metrics.II , Differential geometry and complex analysis, Springer, Berlin, 1985, 95-114

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.618150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.004037Z digest=sha256:5d695f638d9541fdfa4acd59001ef1cba4cfbfd9c89f4cc6e4f5c92d8cf60d62

Observation e5b5ecda-6b13-477d-ad8b-cb42d6c5f4c4 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.600951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.009603Z digest=sha256:a14a49c9a485fc1d45500bc8e93dea695886f2dd1da1b222c6f6e7e1b2acced3

Observation a264c0a9-dc69-4dcd-ac85-ab376164eb80 · outbound

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

Combinatorial Calabi flows with ideal circle patterns Ge, Combinatorial Calabi flows on surfaces , Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.585836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.014668Z digest=sha256:171995e4e2749234648600edb041a273cf2785fe2dc806188af083aa36379ca9

Observation 5104bd7d-c719-4f25-8ef7-70959b904188 · outbound

This paper cites Ge, Combinatorial methods and geometric equations , Thesis (Ph.

Combinatorial Calabi flows with ideal circle patterns Ge, Combinatorial methods and geometric equations , Thesis (Ph

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.567735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.019534Z digest=sha256:bb856036400c889e3bea942b6a8ca80cb041e163d39f98d8b77736339282c673

Observation 3a308505-0a95-4f37-aa1a-be66770d2657 · outbound

This paper cites Ge and B.

Combinatorial Calabi flows with ideal circle patterns Ge and B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.549397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.024428Z digest=sha256:afa121851d4982f9d1a045b70c951c6d0bdafa2f4286006b3538a59e4300b0b9

Observation 26e1afa6-e5d5-44b3-a632-a0265975ffc7 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.529295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.029236Z digest=sha256:99be2019852dc3c3a45d1c0749a5d3babfd9795dec5e5b9901b751d91415e051

Observation 272f5fe4-3789-4c52-b0d7-cf46dd34fcbe · outbound

This paper cites Ge and W.

Combinatorial Calabi flows with ideal circle patterns Ge and W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.512363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.034851Z digest=sha256:e7df3811f4c86425ef3443545b738f06fce5ecba867416bcc9f51db3a0439430

Observation 7695c829-a956-4b30-a798-d29c6f3e341b · outbound

This paper cites Ge and X.

Combinatorial Calabi flows with ideal circle patterns Ge and X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.495559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.040647Z digest=sha256:10c2eb3bb400967d00a84525a185656e7ba0abb82cf29490a4ef8849b88162cd

Observation 7b352c1f-2457-453c-973a-be9b2dc22107 · outbound

This paper cites Ge and X.

Combinatorial Calabi flows with ideal circle patterns Ge and X

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.479458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.046605Z digest=sha256:dcbe6395af8bf3e41b9d1044da7b0f9127a8acad46d21a84cc916b993a5b8058

Observation b9de9ea6-4407-41bb-b818-9df1e5cfce6e · outbound

This paper cites Guo, Local rigidity of inversive distance circle packing , Trans.

Combinatorial Calabi flows with ideal circle patterns Guo, Local rigidity of inversive distance circle packing , Trans

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.455023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.056313Z digest=sha256:b21f71f73254cd927c206d4196c241dad0951296f6d7525c88ba4ea453817ab0

Observation c2119d7b-a0a4-4d80-9b6a-5b474dc682b5 · outbound

This paper cites Guo and F.

Combinatorial Calabi flows with ideal circle patterns Guo and F

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.435228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.064364Z digest=sha256:41941e5954f4f6df09153da2154d8667328a5b2dddb1f3520627f1d59bf9826b

Observation 1537b07a-6a64-4d56-ad41-2177cfc2d8e4 · outbound

This paper cites Koebe, Kontaktprobleme der konformen Abbildung Ber.

Combinatorial Calabi flows with ideal circle patterns Koebe, Kontaktprobleme der konformen Abbildung Ber

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.417797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.070302Z digest=sha256:37451d3d3f67cf718dac98c73470aef118d459162437d0615fd2fd48d7e7fc52

Observation f9779501-c6b0-47e3-92f0-a1d1a0688f16 · outbound

This paper cites Marden and B.

Combinatorial Calabi flows with ideal circle patterns Marden and B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.401958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.075125Z digest=sha256:32ced51e1040480f66d17dac625d5ad5c2f6d361b9ec798bd86f24341af573bd

Observation a13cda6e-3591-46f2-b507-02c343c376e3 · outbound

This paper cites Rousset, Sur la rigidit´ e de poly` edres hyperboliques en dimension 3: cas de volume fini, cas hyperid´ eal, cas fuchsien, Bull.

Combinatorial Calabi flows with ideal circle patterns Rousset, Sur la rigidit´ e de poly` edres hyperboliques en dimension 3: cas de volume fini, cas hyperid´ eal, cas fuchsien, Bull

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.384835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.079633Z digest=sha256:0973c4ccd2d52098cc1a8a4a3000f3966da89a236bd3e47db0e3d324054b3297

Observation 6f60f8ad-f8d4-48ee-8d8c-aab9b50ee628 · outbound

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

Combinatorial Calabi flows with ideal circle patterns Rivin, A characterization of ideal polyhedra in hyperbolic 3-space, Ann

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.366403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.084375Z digest=sha256:64205d3bc61c9f89b077d73250313323d257294b9e8f2fdc83cbcabfffa955bd

Observation f5cc81eb-3be6-4149-b6eb-c747f8ddf433 · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.347958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.089290Z digest=sha256:982c3aa85969c576300b17172479317de28d9cf241a52f7013acc9d1cdf03adc

Observation 81614bf5-63f9-4377-9197-7ecb00ad771c · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.328352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.094045Z digest=sha256:3c5ecf01dc85732b607da07efcb661a6f336e5984aed8d40c702aa53f27bb7dd

Observation 5632aa4b-0e4c-43b7-9cb3-340d9f424ba9 · outbound

This paper cites Thurston, Geometry and topology of 3-manifolds , Princeton lecture notes 1976.

Combinatorial Calabi flows with ideal circle patterns Thurston, Geometry and topology of 3-manifolds , Princeton lecture notes 1976

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:30:12.309021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.098680Z digest=sha256:aff099e37d95c730c43547e0fa01d171b6051642503a62ea80fa5397f4bdbc9e

Observation 14580667-d942-4f9c-958a-1fc8cdd5185a · outbound

This paper cites an unresolved cited work.

Combinatorial Calabi flows with ideal circle patterns Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:30:12.289183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T22:30:12.103542Z digest=sha256:79c626da1646f20a3e928767c32d3ab04a58bf55728604e948375a2ce536a1d4

Observation 09dfc927-b40a-4de0-8ad6-c7ad6ec734f6 · outbound

This paper cites Circle patterns with obtuse exterior intersection angles.

Combinatorial Calabi flows with ideal circle patterns Circle patterns with obtuse exterior intersection angles

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T22:30:12.108058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:30:12.108058Z digest=sha256:f767837d9ce9268a0fd01ccfc4058dfd18dcd8a70ddd66dd99bc9b4aa5e41ec5

Pith citing papers

No inbound Pith citation observations are available.