Paper Citation Record · LEDGER

Preserving curvature lower bounds when Ricci flowing non-smooth initial data

As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2411.13204.

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

pith.paper-citation-record.v1
2411.13204 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:49:54.612855Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

19 of 19 outbound references displayed

verified exact5
verified fuzzy3
unresolved8
parse uncertain0
malformed identifier1
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e345e4b-be7e-43a1-94a5-7b78c081c329 · outbound

This paper cites Entropy and heat kernel bounds on a Ricci flow background.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Entropy and heat kernel bounds on a Ricci flow background

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.532813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a16f359-34fa-4525-b899-3f6e9f6ba0e8 · outbound

This paper cites Uniqueness and stability of singular Ricci flows in higher dimensions.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Uniqueness and stability of singular Ricci flows in higher dimensions

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T16:49:54.751294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 58c6e9a8-abeb-4871-8873-ed3b343c0f92 · outbound

This paper cites Ricci flow and PIC1.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Ricci flow and PIC1

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:49:54.673622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 88b9f983-9193-49b9-bbe8-416d4ab271fe · outbound

This paper cites Four Lectures on Scalar Curvature.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Four Lectures on Scalar Curvature

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.562332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c8161ff-8108-4e75-9a18-d1f81f4f4b1a · outbound

This paper cites 6, 1141–1160.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data 6, 1141–1160

Reference 11

Resolution: verified exact; doi, observed 2026-08-12T16:49:54.646160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 181ce880-f995-4e68-bf1d-a0faeec718a5 · outbound

This paper cites Rigidity of Lipschitz map using harmonic map heat flow.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Rigidity of Lipschitz map using harmonic map heat flow

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.588514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af4c30f3-e38f-4814-9ffe-c46a0529e379 · outbound

This paper cites The local entropy along Ricci flow---Part B: the pseudo-locality theorems.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data The local entropy along Ricci flow---Part B: the pseudo-locality theorems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.612855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e54eb6be-54e9-4fc5-91d6-7067036bf9bd · outbound

This paper cites Geometry of three-dimensional manifolds with positive scalar curvature.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Geometry of three-dimensional manifolds with positive scalar curvature

Reference 214

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.597444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc6913f2-1b5f-41b1-bac9-e2f2d01b4b92 · outbound

This paper cites The K\"ahler-Ricci flow on compact K\"ahler manifolds.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data The K\"ahler-Ricci flow on compact K\"ahler manifolds

Reference 948

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T16:49:54.692923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d2c2d82b-7173-4936-b367-3529846c91f6 · outbound

This paper cites 71, Amer.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data 71, Amer

Reference 1986

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:49:54.883248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9b991a93-a232-4d0c-bd28-57120d3aefdd · outbound

This paper cites Ricci limit flows and weak solutions.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Ricci limit flows and weak solutions

Reference 2001

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:49:54.796284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b136d374-4933-4d99-9f91-d3aae36f662c · outbound

This paper cites Ricci-Deturck flow from rough metrics and applications.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Ricci-Deturck flow from rough metrics and applications

Reference 2006

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:49:54.779268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 68677d28-10cd-4972-a526-aa471afc8818 · outbound

This paper cites [Per03] Grisha Perelman, Ricci ﬂow with surgery on three-manifolds , 2003, arXiv:0303109.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data [Per03] Grisha Perelman, Ricci ﬂow with surgery on three-manifolds , 2003, arXiv:0303109

Reference 2008

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T16:49:54.845302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 761d5c39-d997-4385-a63f-6622817c731a · outbound

This paper cites Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.547870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e17e7335-49c1-443f-acbc-18755b7a87fa · outbound

This paper cites an unresolved cited work.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Unresolved cited work

Reference 2013

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:49:54.894774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 868e66d9-bebd-48b6-8a9c-6552169b0273 · outbound

This paper cites 4, 1979 –.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data 4, 1979 –

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:49:54.872049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36be23b1-7d17-42bb-9882-42a5d1c9cfc8 · outbound

This paper cites 1, 511–523.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data 1, 511–523

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:49:54.857942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 70beabfd-c765-45c7-b86d-d7e0e6628265 · outbound

This paper cites Ricci flow and diffeomorphism groups of 3-manifolds.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Ricci flow and diffeomorphism groups of 3-manifolds

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-12T16:49:54.538126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89acb230-1d20-4248-9f63-f318a5175159 · outbound

This paper cites Ricci flow of $W^{2,2}$-metrics in four dimensions.

Preserving curvature lower bounds when Ricci flowing non-smooth initial data Ricci flow of $W^{2,2}$-metrics in four dimensions

Reference 3690

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:49:54.733035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.