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Paper Citation Record · LEDGER

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$

As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.23157.

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

pith.paper-citation-record.v1
2505.23157 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:01:36.480449Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb00b290-7543-4a68-9548-d984731c9adc · outbound

This paper cites Angenent and Dan Knopf.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Angenent and Dan Knopf

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:40.911489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:33.829715Z digest=sha256:19fd0c232ce69c86f9d20c9f8e2ed0e33b03d869fb1247f556cad6963c4dc4cb

Observation 2cf5da7e-038a-45f5-974b-f3a16a678b07 · outbound

This paper cites Buttsworth, M.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Buttsworth, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:40.617369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:33.917051Z digest=sha256:a91b368ccc1f745002caa90439e2f212f252c69f15b9f50d8c836a246df88b88

Observation 114aa814-15ce-4e66-93a7-25281841434a · outbound

This paper cites Catino, C.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Catino, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:40.471441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.089229Z digest=sha256:8c3adab49c395d0d19c8a2f8845a5208c91183d3567a89d3ffcfe1652b851f5f

Observation b3003204-724c-4d1a-89bf-a35e602fa2ad · outbound

This paper cites Chau, K.-F.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Chau, K.-F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:40.345026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.197775Z digest=sha256:895300a40d1ab0032c79510c6aa548857b8a919b3cd7aa8ae137e9a38b18d65e

Observation b3655c29-9812-4b8f-a4c7-525f32f5d1ec · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:40.171359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.314478Z digest=sha256:683882c91c41ac56a22235269e86ea1bb7a816e28df2827fc332696aa6e7ed65

Observation 5c845c5f-31d3-4054-8ec2-e19b35c82db1 · outbound

This paper cites Chen, H.-L.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Chen, H.-L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:40.045926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.410196Z digest=sha256:edbd8fce8de049169d8ed6a8d24d328b01b558b6844b60c1d95d129ed6723ea8

Observation 7766bfde-adf0-4bbd-ae9a-c01b1675691d · outbound

This paper cites Chen and X.-P.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Chen and X.-P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:39.881232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.427020Z digest=sha256:af9645eb5e9a6ed63ebb2e0f5562a61b060627c7f6e6ac7de3a0a944bd7d698c

Observation 1a2a654d-cd24-4e1a-b600-4a76e4f61eb2 · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:39.736874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.430292Z digest=sha256:6a6fecef32dbcad4cce188e242cefa3f9aae8eb89b483c8c494d34f710ec2950

Observation 173032da-ce71-47d1-84ad-ae0e90f00df5 · outbound

This paper cites Deruelle, F.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Deruelle, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:39.553637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.433801Z digest=sha256:6057bd86f9227612ae752077dfe316b8123d66e0392f706cf2ecd30691af908b

Observation 0d46c740-bece-4f05-b68e-f653748f3674 · outbound

This paper cites Di Giovanni.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Di Giovanni

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:39.398685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.500296Z digest=sha256:9a73339500229ed7dfc98973ea399cff27ba5adc7f61468bcd7aefd8293f2799

Observation 8849c5c8-af57-44c9-99ab-c56c0778690f · outbound

This paper cites Giesen and P.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Giesen and P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:39.192288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.698215Z digest=sha256:5e6f6b4ba90df7e66f0018a2d45141adf799c141f446342c7081cc645fafcb67

Observation ffb769ef-c896-401f-8085-99ea59cac482 · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:38.981299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:34.871674Z digest=sha256:ead42aed29b021a91fb431f0ea775f7cc707c9930dcf63e1e2cada87b391964f

Observation 9d97735f-a7c7-4eac-b77e-ab87f05922a4 · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:38.833910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.010259Z digest=sha256:ffd810e70a2ce7af9366fc721238cf1f879f54978970e1ece3c6b8cf45764617

Observation 34f0fe4c-cffa-4d6f-a893-b1c13a404214 · outbound

This paper cites Uniqueness of Ricci flow with scaling invariant estimates.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Uniqueness of Ricci flow with scaling invariant estimates

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T13:01:35.143221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:01:35.143221Z digest=sha256:c6466b1ad9873f428b9b9c51a649cc7e51f8aed0db4bdb1dcd0e7edb0597ab85

Observation dcc0f3f7-9cdd-4534-9f3f-fae51a7f62be · outbound

This paper cites Lee and L.-F.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Lee and L.-F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:38.681256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.254159Z digest=sha256:3cbdcbb8d0b92b182d879002101f215f88ff7fce6991063844d7d8fbdeab263f

Observation ab806830-2706-4678-a2ce-3568472c2739 · outbound

This paper cites Lee and P.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Lee and P

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T13:01:35.390179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:01:35.390179Z digest=sha256:ced1605c0d0e3cdd875952e5ec45ff530f203bc2f1a3653f8141c347f254a756

Observation aa64a859-71f0-4cb6-931a-9bb2394a3114 · outbound

This paper cites Perelman.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Perelman

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:38.489654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.522531Z digest=sha256:e91296dac395d317c61b23254c47fd1ce98b1a065e25d697e6c5b76347b81b3a

Observation 3420a487-c15b-458a-b0b6-574cb15aad40 · outbound

This paper cites Perelman.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Perelman

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:38.328559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.684827Z digest=sha256:4203342f8319266ee41fdf9be310893ba12968ebe735f111fc2136d07e1f2575

Observation 0c564885-ef09-48ab-9d6d-2a6e410a5c33 · outbound

This paper cites Perelman.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Perelman

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:38.158415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.738272Z digest=sha256:2a209950a27a5ad54269abe10f617ed7153314c03cc38f137a8843998122e62e

Observation c590a9bf-a647-48b0-b1ca-78e9c6a17686 · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:38.013756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.889348Z digest=sha256:11f195b0e16ea992e0dbce5a539913d94dc4195b3ec9cabc48720eed5492ea6d

Observation 447ea2cd-0184-4c94-aba4-6c241ffc891b · outbound

This paper cites Simon and P.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Simon and P

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:37.823363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:35.991566Z digest=sha256:9350098f9108fe89348527a1712005964b4a1ec171ca540534679336533a5489

Observation 3d4193da-4958-47ea-947b-532e28d1c734 · outbound

This paper cites Smoothing a measure on a Riemann surface using Ricci flow.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Smoothing a measure on a Riemann surface using Ricci flow

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:01:36.868580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:36.150404Z digest=sha256:5084551ded9ba84fa312f0243e9ffa3b628235797b1cf5c5768dde6ae5d270a7

Observation 2d452cbf-16c1-4015-8f96-f6b295c1aad9 · outbound

This paper cites Yang and F.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Yang and F

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:37.443155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:36.336521Z digest=sha256:1b784fc75dbb384d18e1e158efe84f070abb863c4a30e2c18e41c14cc31f3d93

Observation 59d1ed47-ef9f-46d3-bf29-369554ceb53b · outbound

This paper cites an unresolved cited work.

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:37.189415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:01:36.480449Z digest=sha256:de8279e714454f2a640e6e2c4f16a4b6adc3774b9f18f6886d9c7ac35d5f74d4

Pith citing papers

No inbound Pith citation observations are available.