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Paper Citation Record · LEDGER

Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 33 inbound Pith citation observations for arXiv:math/0307245.

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pith.paper-citation-record.v1
math/0307245 v1

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measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 33 of 33 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:51.493422Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T16:28:39.441135Z

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Outbound references

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Pith citing papers

Observation 73f0af1c-e125-4b34-a33c-ac0e27640143 · inbound

On the geometry of asymptotically flat manifolds cites this paper.

On the geometry of asymptotically flat manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 50

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no resolver link, observed 2026-08-14T12:33:51.493422Z

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source=pdf_text observed=2026-08-14T12:33:51.493422Z digest=sha256:616af790323b1d363970246bfd3029a1ec62ec830dc87d79fc06ee27dc06440a

Observation 756055a3-016d-46e0-88bc-f2f6fd9f9685 · inbound

Ancient Ricci flows of bounded girth cites this paper.

Ancient Ricci flows of bounded girth Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 53

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local_arxiv, observed 2026-05-24T09:24:17.243252Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T09:23:10.886561Z digest=sha256:7c6722a4d7178ac13a2545193717415c17b6f1bf005880992cb17634eb18c3ae

Observation 1eedcc9d-1e49-44e7-acbb-11089a7027ce · inbound

Exotic aspherical 4-manifolds cites this paper.

Exotic aspherical 4-manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 25

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local_arxiv, observed 2026-05-23T17:08:12.565151Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-23T17:07:19.587137Z digest=sha256:2d66bf109f88305feb4667aa08650957a0f18c493cd219eab80533a6758d35ee

Observation f54fbbb8-fb1c-472b-a6d3-8144926407e8 · inbound

Global linearization of asymptotically stable systems without hyperbolicity cites this paper.

Global linearization of asymptotically stable systems without hyperbolicity Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 34

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no resolver link, observed 2026-08-08T12:02:28.239318Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T12:02:28.239318Z digest=sha256:87fb1fb9bf3de5b487060d46030ad6b3573b4db7cc8652bfa62de953b9bbf0b2

Observation 108fb4c9-966c-4a59-8191-24a20395f9b7 · inbound

3-Manifolds with positive scalar curvature and bounded geometry cites this paper.

3-Manifolds with positive scalar curvature and bounded geometry Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 30

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no resolver link, observed 2026-08-07T20:57:54.192711Z

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source=pdf_text observed=2026-08-07T20:57:54.192711Z digest=sha256:8e27ea9b92b6f1526b3f9a77ad5277c401742003720d4a3e0fabccaa11e50b84

Observation bae42c96-e764-4144-a39c-2c487e7e2306 · inbound

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds cites this paper.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 7

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no resolver link, observed 2026-08-07T00:14:31.543813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:14:31.543813Z digest=sha256:0b735a69514d2050facc3b7d8d4c202e7cc159f08b227694f8e93baf20f79516

Observation 4fcfa305-c5d4-4775-9092-4a77a179e53d · inbound

Yang-Baxter Equation and Related Algebraic Structures cites this paper.

Yang-Baxter Equation and Related Algebraic Structures Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 259

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no resolver link, observed 2026-08-06T21:55:23.943293Z

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source=pdf_text observed=2026-08-06T21:55:23.943293Z digest=sha256:e5168c77bf7e019f6f068042c4442585417ae7085e07890c6e5b016ac0d83edc

Observation 970f112b-4848-4482-8966-1eba7a2fabb8 · inbound

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay cites this paper.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 23

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no resolver link, observed 2026-08-06T00:54:04.393808Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T00:54:04.393808Z digest=sha256:1c8c2baf448619091de7c38afca02642008451248571d30f793d72a97766ec62

Observation 0d7227a2-57fc-467f-b87d-478a83d5ed34 · inbound

Cosmological viability of anisotropic inflation in Thurston spacetimes cites this paper.

Cosmological viability of anisotropic inflation in Thurston spacetimes Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 18

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verified exact
local_arxiv, observed 2026-05-21T22:30:43.054273Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-21T22:28:22.307768Z digest=sha256:95f0affc565a48b60d635d5c67c411bc98c7d0fb305e566584aee5e0ab9df583

Observation c461073a-fcde-41c5-bc17-0fade6dbad6e · inbound

On the structure of noncollapsed Ricci flow limit spaces cites this paper.

On the structure of noncollapsed Ricci flow limit spaces Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 36

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no resolver link, observed 2026-08-04T10:05:03.257636Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T10:05:03.257636Z digest=sha256:66f4a142b965addd2ff8792b3c5cd0a990049ec025324f978ac537ea4485969a

Observation 3a3e50f0-cb68-40cb-bec7-958b12cafcc9 · inbound

Entanglement Spectrum Resolved by Loop Symmetries cites this paper.

Entanglement Spectrum Resolved by Loop Symmetries Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 71

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unresolved
no resolver link, observed 2026-08-04T08:56:50.337879Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T08:56:50.337879Z digest=sha256:7ca1d0c98dfabc1b879fe8ebef7f122e631873985bd47a9678811a68a0da4768

Observation aaa34485-5968-4dec-b53a-607e4d60b864 · inbound

Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow cites this paper.

Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 11

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verified exact
local_arxiv, observed 2026-05-18T05:20:54.435647Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T05:16:42.201968Z digest=sha256:20174067226b9f4aa991a799dbce5764b8bef3565d080bce21adcfdfb595218b

Observation c835bd23-662f-4ded-b807-d45630936b45 · inbound

On the rigidity of special and exceptional geometries with torsion a closed $3$-form cites this paper.

On the rigidity of special and exceptional geometries with torsion a closed $3$-form Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 19

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local_arxiv, observed 2026-05-21T18:30:29.041001Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-21T18:29:17.972403Z digest=sha256:d85b7a8ab96637b003017816738adbf60ac1c54701d2d096b6befeed0b6ff1db

Observation 7260775f-a83a-4cd8-8b00-61e00fd0e0bf · inbound

Bianchi cosmologies in a Thurston-based theory of gravity cites this paper.

Bianchi cosmologies in a Thurston-based theory of gravity Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 46

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verified exact
local_arxiv, observed 2026-05-17T00:51:24.127782Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-17T00:49:32.470956Z digest=sha256:9bfad4ec6f23fdec7e6a939e721dd026ec867088c1d6f479b8eb9fb698843004

Observation b1287f50-c015-4498-bdbe-a4839e43fb56 · inbound

The Ricci flow with prescribed curvature on graphs cites this paper.

The Ricci flow with prescribed curvature on graphs Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 28

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verified exact
local_arxiv, observed 2026-05-15T13:30:01.719754Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-15T13:27:23.144014Z digest=sha256:fc5bd18feafa66bfc4240ee514c46b44582bdbc9cae127394d1fb25133eb4b9a

Observation 86cd3fd4-fc9d-4c2e-bf82-353717e4c3ca · inbound

The Calabi flow with prescribed curvature on finite graphs cites this paper.

The Calabi flow with prescribed curvature on finite graphs Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 27

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local_arxiv, observed 2026-05-13T18:53:08.304961Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-13T18:51:46.358463Z digest=sha256:8bdba4ac2be966c3e6cf2466bd184ae11df92c48e40cf6d4abadd0dc8229a094

Observation fee953b8-8df3-4a01-a505-3632b8895ebc · inbound

On the Chern-Ricci form of a twisted almost K\"{a}hler structure cites this paper.

On the Chern-Ricci form of a twisted almost K\"{a}hler structure Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 8

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arxiv_id, observed 2026-05-11T00:45:50.289329Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T18:19:57.341677Z digest=sha256:5e36bb6ec4ab8593c618907cd1087b07f50378ae50357be654d6d3bc4db3c901

Observation d591d697-7882-465e-bab1-78e04e6e8d46 · inbound

On weak formulations of (super) Ricci flows cites this paper.

On weak formulations of (super) Ricci flows Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 21

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verified exact
arxiv_id, observed 2026-05-11T08:26:01.280254Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T16:38:19.319869Z digest=sha256:f8ffc6c09bfe0eec9ea387db80816f2b66812ff64b5b0e8b66b6f34bb2407d50

Observation 31356f2c-7b60-4894-ab91-02d42bb99012 · inbound

The perturbative Ricci flow in gravity cites this paper.

The perturbative Ricci flow in gravity Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 34

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arxiv_id, observed 2026-05-11T12:06:02.439270Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T04:12:19.082263Z digest=sha256:2b439afa5b88c14cdf61f99d41da93016f4e257e43603d6c0b2102a1eef19136

Observation 8d9bc101-55c9-439c-9337-c1d7b38d3aa0 · inbound

Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms cites this paper.

Geometric Renyi Differential Privacy: Ricci Curvature Characterized by Heat Diffusion Mechanisms Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 40

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metadata mismatch
arxiv_id, observed 2026-05-09T22:54:16.207064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-09T22:52:14.521575Z digest=sha256:88a0343d9eb1f041bd76875d664825bff38bf16aedb972fc875c4618b061bbce

Observation c9adc5d6-5cea-43a5-b548-d38f07982961 · inbound

Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations cites this paper.

Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 14

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verified exact
arxiv_id, observed 2026-05-09T06:30:44.515652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-08T18:23:05.938250Z digest=sha256:1eabbfec548d5bdd54afab9107d01107cb0af783066569b0af6f28a465e26c6b

Observation 6d2212fa-8f2f-4a92-bf1d-05bc825250a1 · inbound

Notes on harmonic-Ricci flow on surface cites this paper.

Notes on harmonic-Ricci flow on surface Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 1

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arxiv_id, observed 2026-05-11T21:31:14.253340Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-08T05:22:01.105451Z digest=sha256:20ab0d6289076b84ef8a4dd4a07f30edf1552f6db95cd5f02eb7f08f993017cf

Observation fefb3d3d-cadb-4cd1-84da-8f65a752f3e0 · inbound

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes cites this paper.

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 14

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local_arxiv, observed 2026-05-15T01:28:27.086097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-15T01:25:56.762196Z digest=sha256:9cc0e301f93379cce2422f0eeea6bd43cad3334daf780a7f7dc579f12e58b873

Observation 5baecffd-3174-44ca-8d75-54bbb6ff6b8b · inbound

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes cites this paper.

Modifications of CMB Temperature and Polarization Quadrupole Signals in Thurston Spacetimes Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 14

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local_arxiv, observed 2026-05-20T21:29:03.197084Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-20T21:28:44.366878Z digest=sha256:6f7c64476e622d7bfaa950c108778e98f6599846d16364702e9a991bc6c3ed35

Observation 80e60966-1f39-4962-a564-57adc0ce3831 · inbound

Geometrisation of 3-manifolds cites this paper.

Geometrisation of 3-manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 4

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verified exact
local_arxiv, observed 2026-05-25T02:46:33.727984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-25T02:43:36.855648Z digest=sha256:0bb83505fe8cb2c13e9066be298edfd2eb5bb063bdd68dc08ee4221e13cd690b

Observation a76e3cb0-4ce4-4856-872a-891ba8daa127 · inbound

On the structure of complete $G_2$-solitons cites this paper.

On the structure of complete $G_2$-solitons Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 54

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local_arxiv, observed 2026-07-02T15:47:06.325364Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T23:29:21.691157Z digest=sha256:7d2d488fef2c8f991b8346449434c0dfe23428975158c413d1c78e4794200d18

Observation 5d2365bc-4c68-4c91-9856-74b119055c61 · inbound

The Ollivier Ricci flow with prescribed curvature on infinite graphs cites this paper.

The Ollivier Ricci flow with prescribed curvature on infinite graphs Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 30

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verified exact
local_arxiv, observed 2026-07-03T03:07:35.513262Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T15:29:24.205378Z digest=sha256:de08dc9ec68158793eaae4505e6d1edbbe23c1a044e990820c8ab256e3efd12d

Observation 1ad0c6b7-8def-470a-a11c-81838fec7679 · inbound

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three cites this paper.

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 10

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verified exact
local_arxiv, observed 2026-07-03T16:28:38.690763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T05:47:51.255330Z digest=sha256:03d1c973cc91086e161f3ea36881e909e22de633ba8d517c8409e76dfd14e3e5

Observation 5ed8aeac-1048-4a80-ac20-52c16483a559 · inbound

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three cites this paper.

Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 2002

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unresolved
no resolver link, observed 2026-08-02T11:40:39.664700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:40:39.664700Z digest=sha256:d59aea80f6511671b8e3bb703edf5f246990f06bb101ab805fb5ac7d7357b10f

Observation 71890a9f-8735-42ca-916b-d406e4601076 · inbound

A Levi-type decomposition on two-step solvable Lie algebras with a complex structure cites this paper.

A Levi-type decomposition on two-step solvable Lie algebras with a complex structure Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 33

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verified exact
local_arxiv, observed 2026-07-03T16:28:39.442414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-27T05:33:13.042228Z digest=sha256:490abb286aa8babd5c26f80c71a883fabfdfe3b07365d7c0c85a11aa8c934b19

Observation 3c3f307d-901f-4ced-a192-b16e3ddc54bb · inbound

Isometric free finite group actions on non-positively curved 3-manifolds cites this paper.

Isometric free finite group actions on non-positively curved 3-manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 7

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unresolved
no resolver link, observed 2026-07-15T10:39:49.531101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-15T10:39:49.531101Z digest=sha256:c26f577622776bf61d5a5b21fa6e237569fc38d6d65a3d6e4a4b906d2b81e3ca

Observation fc8d089f-868c-45dd-abb9-8634da5c046e · inbound

On the Dirac complement problem cites this paper.

On the Dirac complement problem Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 111

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no resolver link, observed 2026-08-01T23:40:05.878858Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T23:40:05.878858Z digest=sha256:1c5c658f4db4387ee7dddf74aee1392fe97f53ab3fc6894a0ca007b59f9cb17d

Observation 0ee6dcc8-f1ca-475d-a77c-f561174325b8 · inbound

Convergence of Finite Element Methods for Ricci Flow cites this paper.

Convergence of Finite Element Methods for Ricci Flow Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 40

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no resolver link, observed 2026-08-01T19:17:01.160914Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:17:01.160914Z digest=sha256:1e9032b548d5a3ca5f24c6c1bf5ca8b2e91f77d9f4089fcec5e8df4741b07fee