Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Ricci flow with surgery on three-manifolds
As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 45 inbound Pith citation observations for arXiv:math/0303109.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:21:49.253828Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T16:28:38.704804Z
Reference resolution
0 of 0 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 9e77a133-7259-420b-872e-5e5e91ef48e5 · inbound
On the top-dimensional $\ell^2$-Betti numbers cites this paper.
On the top-dimensional $\ell^2$-Betti numbers Ricci flow with surgery on three-manifolds
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T05:21:49.253828Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77050119-6794-49b6-95ee-2a2ec833106c · inbound
Solutions to the Ricci Flow via Einstein Field Equations cites this paper.
Solutions to the Ricci Flow via Einstein Field Equations Ricci flow with surgery on three-manifolds
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:58:25.554551Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b9c1cc2-c37c-493e-b2ab-a16287f5cf3d · inbound
Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature cites this paper.
Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature Ricci flow with surgery on three-manifolds
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:40:21.850127Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8b7ae9f-e9fa-4136-b7ae-3e2f1c9e0fad · inbound
Exotic aspherical 4-manifolds cites this paper.
Exotic aspherical 4-manifolds Ricci flow with surgery on three-manifolds
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-23T17:08:12.575415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d1a76864-2a90-470e-ab50-b908021c0a3e · inbound
Navigating string theory field space with geometric flows cites this paper.
Navigating string theory field space with geometric flows Ricci flow with surgery on three-manifolds
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:12:17.381780Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f985331-868f-4d57-bf0a-ea1cd29f9185 · inbound
Bounds of Scalar curvature, S-curvature and distortion on $\infty$-Einstein Finsler manifolds cites this paper.
Bounds of Scalar curvature, S-curvature and distortion on $\infty$-Einstein Finsler manifolds Ricci flow with surgery on three-manifolds
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:57:08.045194Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 271d124c-211b-469c-ad9d-d8c14a2cae0d · inbound
Passing through nondegenerate singularities in mean curvature flows cites this paper.
Passing through nondegenerate singularities in mean curvature flows Ricci flow with surgery on three-manifolds
Reference 74
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T11:34:57.926158Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f1ff90f-4daa-4325-ab6d-822de53b011d · inbound
Global linearization of asymptotically stable systems without hyperbolicity cites this paper.
Global linearization of asymptotically stable systems without hyperbolicity Ricci flow with surgery on three-manifolds
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T12:02:28.244015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51098105-c27e-4a83-b68d-07a26f799304 · inbound
A large data result for vacuum Einstein's equations cites this paper.
A large data result for vacuum Einstein's equations Ricci flow with surgery on three-manifolds
Reference 41
- Resolution
- verified exact
- local_arxiv, observed 2026-05-23T02:35:19.788291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ddb4294e-041b-4c4e-bedf-b8ffc4af056a · inbound
Rigidity of Five-Dimensional shrinking gradient Ricci solitons cites this paper.
Rigidity of Five-Dimensional shrinking gradient Ricci solitons Ricci flow with surgery on three-manifolds
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:09:18.088932Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13f8ac2b-8ac6-4f5e-bbda-ff2187439ed9 · inbound
On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds cites this paper.
On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Ricci flow with surgery on three-manifolds
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:14:31.609567Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21a724a8-978c-4ba9-a775-1d3f633c9b02 · inbound
Yang-Baxter Equation and Related Algebraic Structures cites this paper.
Yang-Baxter Equation and Related Algebraic Structures Ricci flow with surgery on three-manifolds
Reference 260
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:55:24.025105Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb45acbb-107f-4d50-8b00-6f4f43a31988 · 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 Ricci flow with surgery on three-manifolds
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T00:54:04.573007Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cc7acce-e804-4f67-9839-3fe904c3305a · inbound
Cosmological viability of anisotropic inflation in Thurston spacetimes cites this paper.
Cosmological viability of anisotropic inflation in Thurston spacetimes Ricci flow with surgery on three-manifolds
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-05-21T22:30:43.046505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6982b666-6ec7-464d-b564-efde178599bb · inbound
Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula cites this paper.
Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Ricci flow with surgery on three-manifolds
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T15:06:32.269976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f01b422c-cd28-480c-a39c-4a6a9d8cbed7 · inbound
Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula cites this paper.
Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Ricci flow with surgery on three-manifolds
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T15:57:08.718028Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30f12b2a-4b19-4ccd-9a00-e76fe32ec0cc · inbound
On the structure of noncollapsed Ricci flow limit spaces cites this paper.
On the structure of noncollapsed Ricci flow limit spaces Ricci flow with surgery on three-manifolds
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T10:05:03.343456Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4cc366c-47d0-413e-9532-9dceb47b6c24 · inbound
Entanglement Spectrum Resolved by Loop Symmetries cites this paper.
Entanglement Spectrum Resolved by Loop Symmetries Ricci flow with surgery on three-manifolds
Reference 70
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T08:56:50.151981Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb18db24-fd0e-4671-8837-8bb6e7facac0 · 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 Ricci flow with surgery on three-manifolds
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T05:20:54.451965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b6d6712b-f071-4e32-b26c-7874ca2ff819 · inbound
Expansion joints in hyperbolic manifolds cites this paper.
Expansion joints in hyperbolic manifolds Ricci flow with surgery on three-manifolds
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T19:24:01.767620Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d26fa1df-37b7-476e-a6fd-607df204700c · inbound
Bianchi cosmologies in a Thurston-based theory of gravity cites this paper.
Bianchi cosmologies in a Thurston-based theory of gravity Ricci flow with surgery on three-manifolds
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-05-17T00:51:24.198227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3863e004-bfb6-496a-b055-3d34515ad70c · inbound
The Ricci flow with prescribed curvature on graphs cites this paper.
The Ricci flow with prescribed curvature on graphs Ricci flow with surgery on three-manifolds
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-05-15T13:30:01.722513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 631e68f0-f681-4c76-9cc8-a2bde2a7bc4c · inbound
The Calabi flow with prescribed curvature on finite graphs cites this paper.
The Calabi flow with prescribed curvature on finite graphs Ricci flow with surgery on three-manifolds
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-13T18:53:08.315160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 53a498bb-994d-4cda-b219-ebec50af8ae2 · 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 Ricci flow with surgery on three-manifolds
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T00:45:50.293537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 10e81074-7f49-45db-a8a0-85378367d169 · inbound
On weak formulations of (super) Ricci flows cites this paper.
On weak formulations of (super) Ricci flows Ricci flow with surgery on three-manifolds
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T08:26:01.301441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f6f1f1c2-fc3a-436a-a50f-c9be231519c9 · inbound
The perturbative Ricci flow in gravity cites this paper.
The perturbative Ricci flow in gravity Ricci flow with surgery on three-manifolds
Reference 36
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T12:06:02.386190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aeeaecc0-9355-49aa-8e02-4b9486eaf3f6 · 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 Ricci flow with surgery on three-manifolds
Reference 39
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-09T22:54:16.204419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7becf9bc-086c-462b-b26f-371b5ea436bf · inbound
A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature cites this paper.
A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature Ricci flow with surgery on three-manifolds
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:06:17.220479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f9de1c06-f92a-470d-93ed-cb1e3038cf96 · inbound
Notes on harmonic-Ricci flow on surface cites this paper.
Notes on harmonic-Ricci flow on surface Ricci flow with surgery on three-manifolds
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T21:31:14.240729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 440197ba-efcf-421c-997f-175ce3a88f83 · 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 Ricci flow with surgery on three-manifolds
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-05-15T01:28:27.089014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c977c989-2ed5-4f37-a760-7f11146d93c3 · 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 Ricci flow with surgery on three-manifolds
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-05-20T21:29:03.200151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4918b3f2-c731-405d-b2ea-16e9466caf4a · inbound
$\kappa$-solutions with the round cylinder as an asymptotic shrinker cites this paper.
$\kappa$-solutions with the round cylinder as an asymptotic shrinker Ricci flow with surgery on three-manifolds
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T20:15:05.396044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 459317d0-bf08-4a1d-ab1e-0a26e5325b1a · inbound
Strong uniqueness and rectifiability of generalized cylindrical singularities in Ricci flow cites this paper.
Strong uniqueness and rectifiability of generalized cylindrical singularities in Ricci flow Ricci flow with surgery on three-manifolds
Reference 55
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-19T18:52:43.077475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bcf2bcba-43bf-4187-aefb-674123fada91 · inbound
Geometrisation of 3-manifolds cites this paper.
Geometrisation of 3-manifolds Ricci flow with surgery on three-manifolds
Reference 3
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-25T02:46:33.722146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c43ec2f-48fa-478a-a9ba-3594af362c87 · inbound
Closed minimal surfaces of index one in Riemannian manifolds cites this paper.
Closed minimal surfaces of index one in Riemannian manifolds Ricci flow with surgery on three-manifolds
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T05:16:38.902052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 170d3729-c513-4cb5-bb99-05671dabbadd · inbound
On the structure of complete $G_2$-solitons cites this paper.
On the structure of complete $G_2$-solitons Ricci flow with surgery on three-manifolds
Reference 53
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T15:47:06.326342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f7f08491-ddd5-4573-be12-0158e8732707 · inbound
Closed $4$--Manifolds Foliated by Hyperplanes cites this paper.
Closed $4$--Manifolds Foliated by Hyperplanes Ricci flow with surgery on three-manifolds
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T22:07:25.977447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f85eff42-5007-4e35-9e98-908bde5c1417 · inbound
The Ollivier Ricci flow with prescribed curvature on infinite graphs cites this paper.
The Ollivier Ricci flow with prescribed curvature on infinite graphs Ricci flow with surgery on three-manifolds
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T03:07:35.489584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7aed5606-e4a4-4aa0-ae02-b26bbea3ba42 · 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 Ricci flow with surgery on three-manifolds
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T16:28:38.705996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation edd23f1d-315f-41c3-9b0a-5074078aeac1 · 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 Ricci flow with surgery on three-manifolds
Reference 2003
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T11:40:39.805915Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df21e955-d3e4-464b-b37c-af9b8c0630c5 · inbound
Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio cites this paper.
Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio Ricci flow with surgery on three-manifolds
Reference 283
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T07:41:19.987909Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d478d103-1164-47af-b8a5-197060ebb2df · inbound
Entropy and Non-Collapse in Lorentzian Geometry cites this paper.
Entropy and Non-Collapse in Lorentzian Geometry Ricci flow with surgery on three-manifolds
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T14:27:19.464941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39e11213-15e1-4f30-b2f1-d932935127f4 · inbound
Convergence of Finite Element Methods for Ricci Flow cites this paper.
Convergence of Finite Element Methods for Ricci Flow Ricci flow with surgery on three-manifolds
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T19:17:01.254956Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fab5595-5b53-455a-9c0c-e3f0673dd181 · inbound
Volume Stability for Hyperbolic Manifolds and Applications to General Relativity cites this paper.
Volume Stability for Hyperbolic Manifolds and Applications to General Relativity Ricci flow with surgery on three-manifolds
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T03:46:53.318508Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11de2f28-6df5-4681-87ea-8bcb9863a75c · inbound
Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces cites this paper.
Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces Ricci flow with surgery on three-manifolds
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T00:49:12.727401Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.