Paper Citation Record · LEDGER

Heat Flows with Prescribed Singularities from 3-dimensional Manifold

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2412.14634.

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

pith.paper-citation-record.v1
2412.14634 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:10:11.914902Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact0
verified fuzzy16
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c459dee2-4eab-4230-9e7d-977f3043ee4f · outbound

This paper cites Indiana Univ.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Indiana Univ

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.470162Z

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.

Observation 44999dab-482d-44c7-927d-4cdddb4211d2 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.457098Z

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.

Observation ac1cdec8-0a98-4ee8-8445-5d7c1dd15ba5 · outbound

This paper cites Springer-V erlag London Limited 2010, Cor- rected printing, (2012).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Springer-V erlag London Limited 2010, Cor- rected printing, (2012)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.445439Z

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.

Observation 148fd32d-8b63-43d6-a1f9-deaa02331e2b · outbound

This paper cites Nonlinear Anal.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Nonlinear Anal

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.432584Z

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.

Observation ea546003-99d3-49e0-a2e6-c25ba0d29ec9 · outbound

This paper cites Peking University Press, Beijing, (2003).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Peking University Press, Beijing, (2003)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.421156Z

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.

Observation 452a3c28-32a2-4144-80ba-30550fec35dc · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.408869Z

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.

Observation d3ae0dba-ee85-42eb-9de4-21a2f9989008 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.397516Z

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.

Observation c049cbf0-157b-4d4b-a68f-1a8c757e41c4 · outbound

This paper cites Springer , New Y ork, (2012).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Springer , New Y ork, (2012)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.387351Z

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.

Observation 73012e18-ebb7-4cd5-8028-f4e6b42975ea · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.374790Z

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.

Observation c7a08e7f-a561-408d-91a7-b7aa2af760a8 · outbound

This paper cites Wadsworth and Brooks/cole Math- ematics, 19(1), (2010).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Wadsworth and Brooks/cole Math- ematics, 19(1), (2010)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.361229Z

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.

Observation 25b614f6-1835-4833-b549-329909243895 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T12:10:11.828835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88e9051-0577-447d-bc85-642e8935169a · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.348645Z

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.

Observation e34e3429-afa7-493a-b416-2e0e2d242278 · outbound

This paper cites Lecture Notes in Mathematics, 471, Springer-V erlag, Berlin-New Y ork, (1975).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Lecture Notes in Mathematics, 471, Springer-V erlag, Berlin-New Y ork, (1975)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.335408Z

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.

Observation 07de319e-565b-468d-a62f-1ad0cb0ff254 · outbound

This paper cites Asymptotic Analysis of Harmonic Maps With Prescribed Singularities.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Asymptotic Analysis of Harmonic Maps With Prescribed Singularities

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T12:10:11.839514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7edb0ac-ed04-42c3-8952-2a1d38e19bf7 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.322506Z

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.

Observation 3a1163cd-e4c2-48ec-88ed-e952e4b3b1f8 · outbound

This paper cites : Heat ﬂows on hyperbolic spaces.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold : Heat ﬂows on hyperbolic spaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.308446Z

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.

Observation e6c5ce68-7a51-411a-8af8-64bf5cb70f51 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.295433Z

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.

Observation 5efd67f4-1521-45c1-a1a7-2831e90235d5 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.284575Z

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.

Observation 0e3d57e5-8a82-4823-b4d7-6d219ed837d1 · outbound

This paper cites Indiana Univ.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Indiana Univ

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.272919Z

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.

Observation 2214a6e7-8726-4c02-8c5b-697bf31d5f9f · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.261421Z

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.

Observation 446e1455-03b8-4a45-9740-db4d2f99d592 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.250722Z

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.

Observation 0d7f7550-d031-4b50-9ccf-832105babf6f · outbound

This paper cites Paciﬁc J.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Paciﬁc J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.238632Z

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.

Observation 8edce994-c8d6-4057-9c5b-57b47c5bdcc9 · outbound

This paper cites World Scientiﬁc, (1996).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold World Scientiﬁc, (1996)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.225972Z

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.

Observation 741df2a5-4909-415d-99a6-da15f2b80a0f · outbound

This paper cites World Scientiﬁc Publishing Co.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold World Scientiﬁc Publishing Co

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.213634Z

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.

Observation 847f1a6a-1810-4239-8220-4102cce297c5 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.200598Z

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.

Observation bdd2d839-f228-489a-b2dd-74b44f7b7b5b · outbound

This paper cites Lecture Notes in Pure and Appl.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Lecture Notes in Pure and Appl

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.188434Z

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.

Observation 816be465-3d05-41ab-8d36-46801dc93a43 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.176231Z

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.

Observation 5e25bd39-3fe5-46c0-bcda-1fbaf2c0c5d5 · outbound

This paper cites Lectures in Mathematics, ETH Z¨ uric, Birkh¨ auser, Basel, (1996).

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Lectures in Mathematics, ETH Z¨ uric, Birkh¨ auser, Basel, (1996)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.164568Z

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.

Observation 1e5d2207-79e5-4ebc-afc0-d747cde6edfd · outbound

This paper cites L.: An introduction to Manifolds, Second Edition.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold L.: An introduction to Manifolds, Second Edition

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.150808Z

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.

Observation de6d3095-2f52-4ec8-8b86-737844476601 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.134303Z

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.

Observation 1e3df7aa-a100-47c2-ad23-0e0d398fa03d · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.122252Z

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.

Observation c733e0b9-888d-48c4-b42f-18d533ea8f6f · outbound

This paper cites Duke Math.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Duke Math

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:12.108157Z

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.

Observation 15965b45-57ef-4e34-8ec1-8c67e5c7f311 · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.096056Z

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.

Observation 07a727af-db3e-47c4-a421-19ea56e89f8e · outbound

This paper cites an unresolved cited work.

Heat Flows with Prescribed Singularities from 3-dimensional Manifold Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:12.083330Z

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.

Pith citing papers

No inbound Pith citation observations are available.