Paper Citation Record · LEDGER

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2506.00887.

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

pith.paper-citation-record.v1
2506.00887 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:09:18.551490Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:40:21.815865Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T19:40:21.969248Z

Reference resolution

33 of 33 outbound references displayed

verified exact1
verified fuzzy16
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0df38d3-036b-4dfd-aea5-98743868298d · outbound

This paper cites Brendle, Rotational symmetry of self-similar solutions to the Ricci flow , Invent.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Brendle, Rotational symmetry of self-similar solutions to the Ricci flow , Invent

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:24.960705Z

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 4415ceab-ea17-423c-9faf-540dbfec9ef8 · outbound

This paper cites Brendle, Rotational symmetry of Ricci solitons in higher dimensions , J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Brendle, Rotational symmetry of Ricci solitons in higher dimensions , J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:24.684782Z

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 624c5266-8fe0-4f58-a313-1bc163cabdbb · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:24.394557Z

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 15acaded-239c-47a3-a340-cdeb934364b3 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:24.083065Z

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 da67358f-8a4a-4751-84f8-8944e30340cd · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:23.862021Z

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 12a9a283-a98f-495c-9c56-264d79357a2e · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:23.622140Z

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 32792780-8fdd-4d32-87bd-d3c0464cbbb8 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:23.389959Z

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 0c48b70f-d5ce-4c0d-b0c6-3624aed6ce61 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:23.157443Z

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 e094474a-37e7-4d3e-804b-f48d1a4ea272 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:22.868123Z

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 e39300ca-1d06-4186-a336-c3801236536e · outbound

This paper cites Fern´ andez-L´ opez, E.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Fern´ andez-L´ opez, E

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:22.565167Z

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 fec8b626-53d7-461d-999d-f1a8bd3e4f54 · outbound

This paper cites Cheng, D.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Cheng, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:22.309152Z

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 8dc881ac-490c-4433-b0d8-1f6dc7ffecb3 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:22.133754Z

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 565a4b08-3eda-48e3-9295-b85df6f48766 · outbound

This paper cites Kotschwar, On rotationally invariant shrinking Ricci solitons , Pacific J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Kotschwar, On rotationally invariant shrinking Ricci solitons , Pacific J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:21.947833Z

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 76b162a9-34fb-4096-a640-efcd89b83f47 · outbound

This paper cites Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T12:09:16.785573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ac2586-d1f3-4380-a191-10dafa44010a · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:21.767891Z

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 65f26f49-996b-47b7-addf-8252ed3dcafa · outbound

This paper cites Eminenti, G.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Eminenti, G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:21.534091Z

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 22106c22-71b4-4d9b-bb10-e64ba287093f · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:21.388478Z

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 61549777-bc90-4409-ab51-4a8f030eaf0b · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:21.238969Z

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 de61a202-376a-4f37-a31e-53d0975d493e · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:21.087951Z

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 891b71be-f5fa-43c6-a0fb-06ea1931ff98 · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:20.897150Z

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 0f9bde0f-6783-42c2-b71e-427c3de8f80a · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:20.752598Z

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 3ab2a392-d789-4fff-8d50-0adc8a71c073 · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:20.514194Z

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 0a765d37-c7b6-4959-8f9b-609568b0618b · outbound

This paper cites Munteanu, J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Munteanu, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:20.337853Z

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 d1c613b8-66a9-4a9b-998f-78c73fd7737b · outbound

This paper cites Naber, Noncompact shrinking four solitons with nonnegative curvature , J.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Naber, Noncompact shrinking four solitons with nonnegative curvature , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:20.148781Z

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 bc4fb301-0c4e-48e8-8a5b-074663de7b77 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:19.938752Z

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 d9118112-8655-456f-a227-fbd3b8a99555 · outbound

This paper cites Some rigidity results on shrinking gradient Ricci soliton.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Some rigidity results on shrinking gradient Ricci soliton

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:09:17.969270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddb4294e-041b-4c4e-bedf-b8ffc4af056a · outbound

This paper cites Ricci flow with surgery on three-manifolds.

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 0e8c0a65-aea3-4a34-a463-585182a4bff1 · outbound

This paper cites Petersen, W.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Petersen, W

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:19.711860Z

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 8459e30b-5e86-438f-9e96-2801b12f085e · outbound

This paper cites Pigola, M.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Pigola, M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:09:19.533645Z

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 375151e6-de47-4283-b2a8-fc26abfc1238 · outbound

This paper cites Four-dimensional shrinkers with nonnegative Ricci curvature.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Four-dimensional shrinkers with nonnegative Ricci curvature

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:09:18.755398Z

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 ef6318c4-70e2-42ab-aab5-fa926b5c16b2 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:19.387764Z

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 7f097d31-9148-4644-8305-ac0a0f612e94 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:19.168502Z

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 a6529d9b-2478-4ae9-8848-5315a0976718 · outbound

This paper cites an unresolved cited work.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:09:18.941277Z

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

Observation 0688257a-216a-4f8f-83bc-c3a115b323e3 · inbound