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Paper Citation Record · LEDGER

Four-dimensional shrinkers with nonnegative Ricci curvature

As of 19 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 2 inbound Pith citation observations for arXiv:2505.02315.

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

pith.paper-citation-record.v1
2505.02315 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:07:42.501518Z

measured 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:40:21.874309Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:09:18.707619Z

Reference resolution

71 of 71 outbound references displayed

  • verified exact2
  • verified fuzzy34
  • unresolved34
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b47f7dd-caef-4138-8a48-29465c297410 · outbound

This paper cites Angenent, S.

Four-dimensional shrinkers with nonnegative Ricci curvature Angenent, S

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a96b5708-dcb7-4f52-b101-252b6a591618 · outbound

This paper cites Bamler, C.

Four-dimensional shrinkers with nonnegative Ricci curvature Bamler, C

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 891fdcfd-0d01-4cd2-8a65-e6b7a93f0ee2 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.977005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 46c4c346-9aaa-41a6-b6fc-1fc3b0ae879b · outbound

This paper cites B¨ ohm, B.

Four-dimensional shrinkers with nonnegative Ricci curvature B¨ ohm, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.962863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fbc84a9f-38b2-412b-9e35-0f201f15634b · outbound

This paper cites Brendle, Ancient solutions to the Ricci flow in dimension 3, Acta M ath.

Four-dimensional shrinkers with nonnegative Ricci curvature Brendle, Ancient solutions to the Ricci flow in dimension 3, Acta M ath

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.949028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 821e6c93-7d71-4877-910a-f15c3b7e21e5 · outbound

This paper cites Brendle, P.

Four-dimensional shrinkers with nonnegative Ricci curvature Brendle, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.935085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c9321430-521e-4501-9f5a-426ccafe5d9f · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.919989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f1521eb6-d819-42b2-9329-1a1569eac636 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.903970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation adb962d0-0043-4b4e-a2c9-61f8319d1b12 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-16T01:07:43.889132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.199169Z digest=sha256:f4d78ee85a75dad4e45e16aa6f3eb0c86f85cb02a4a7d54d69a4d670fdf5018d

Observation e2fe78a9-afff-40a9-a1d1-e37bb00a95b5 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.874536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b9c91702-916d-4fe2-9850-f56e5289be6f · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.860454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.208503Z digest=sha256:b23baa4ea4cd1ac1d8c6c69f6f860fce1fca52d8902ac397f81a1870b93a2258

Observation cd4d1c37-e22c-458d-8257-a5c43d15f023 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.846410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.213360Z digest=sha256:a352ed4ddce75faba8aaf57dd71c85aef2efea21c9faa42439256b9df4489774

Observation 08fcf539-807a-452a-9422-a17807b86324 · outbound

This paper cites Rigidity of four-dimensional K\"ahler-Ricci solitons.

Four-dimensional shrinkers with nonnegative Ricci curvature Rigidity of four-dimensional K\"ahler-Ricci solitons

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-16T01:07:43.033756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.218232Z digest=sha256:afe4c4c39781a1baa10e90b935f9a1ab12ea774ef247fc9d309ceff2bc59af18

Observation 4042e161-bf53-48d7-8127-4903f1c71501 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.832583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.223079Z digest=sha256:b49cddb40d8f409285feb9e200f89ffbbb89693eff328a9ce9551b7644979aa4

Observation 507b7a7d-ff85-43ab-8dfc-008664a70c94 · outbound

This paper cites Catino, Complete gradient shrinking Ricci solitons with pinched curvature, Math.

Four-dimensional shrinkers with nonnegative Ricci curvature Catino, Complete gradient shrinking Ricci solitons with pinched curvature, Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.818474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.228191Z digest=sha256:166ca361ab02b1312a8a7aaba10329f83a8e4b92fdf315f59e3bb8b48cfca6bd

Observation d71fdd5a-82da-4834-83dd-ad8e18b433c0 · outbound

This paper cites Colding, W.P.

Four-dimensional shrinkers with nonnegative Ricci curvature Colding, W.P

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T01:07:42.233162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:07:42.233162Z digest=sha256:81544006927e4589f6b609ff270d7b0f4babd03ee384d19524277d9cd303f4d7

Observation 002f3b57-b930-44c9-ad17-a15f56903409 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.804547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.238849Z digest=sha256:91a71894f50d4dadb25c60ff99c8c3623d0f4db07b07b6960209c403de7a484b

Observation f8b79507-9464-4aa6-9269-db3360b4d86e · outbound

This paper cites Chen, Pointwise 1 / 4-pinched 4-manifolds.

Four-dimensional shrinkers with nonnegative Ricci curvature Chen, Pointwise 1 / 4-pinched 4-manifolds

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.790105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.243513Z digest=sha256:89f9fbaf5f312e7af68a13e2fac591fe16676f9a97d57259b41aa0efe1e7c3ee

Observation 3559c759-2e45-45cf-9677-d7e6709cc1dc · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.776465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.247919Z digest=sha256:24ca74baa659068b22ec26d241f101e6e84f3f78a6b9d7fefa2cb7e77425b476

Observation 7b758582-f4b5-46d0-bfe3-2e531304afd8 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.762341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.253303Z digest=sha256:88158a18266747d6f5335b9e667619f780958e62bf42689c522643d36904b3a8

Observation b5182e59-397c-42a6-a4fa-a8429771f9e4 · outbound

This paper cites Cheng, D.

Four-dimensional shrinkers with nonnegative Ricci curvature Cheng, D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.747833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.258379Z digest=sha256:f9be2bd58b173ab9fb068aa9206abf97c16be90d01d64e06c5019b9f8468d63b

Observation 00bb470e-135d-41bb-9afd-abab32c85233 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.733169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.264454Z digest=sha256:4af269434e1e4d92b6450702f0fa5babd06d4ffc6c499ae1eae6dc3b95bff3a2

Observation eba720ee-8c81-4753-a1f1-44f038e9a669 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.716605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.270000Z digest=sha256:a827a5e1b5f1f3a1c60427787da5c10c919a2b62f7ade0f168944c1c654d2fcc

Observation ec67749d-9d66-4d4a-8f74-1942d7cbfb36 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.702550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.275178Z digest=sha256:4fac3706375800dfed6e93c05b62d358b280cd337fd58524786c74b7c03278dc

Observation 46f07867-13d4-4cb2-9fd8-355f4c3a92c4 · outbound

This paper cites Cifarelli, R.

Four-dimensional shrinkers with nonnegative Ricci curvature Cifarelli, R

Reference 25

Resolution
malformed identifier
raw_fallback, observed 2026-08-16T01:07:43.688661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2b6d62a4-ab03-4364-b33a-5c018c347b2c · outbound

This paper cites Conlon, A.

Four-dimensional shrinkers with nonnegative Ricci curvature Conlon, A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.674803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.284158Z digest=sha256:bb18ee5289923d42ad9602510aeb7d5fc1fee908ceb63c193415ad6ce0085748

Observation 4e380fcb-1a8e-40b5-8d0c-412666039ace · outbound

This paper cites Eminenti, G.

Four-dimensional shrinkers with nonnegative Ricci curvature Eminenti, G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.660932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.288979Z digest=sha256:9af735e8af9f43879665a19d81177ea16b96c11f6e0f0e866ae52301b8cd384c

Observation e8daddff-2fd8-4ee4-a6d8-7bab64156b19 · outbound

This paper cites Feldman, T.

Four-dimensional shrinkers with nonnegative Ricci curvature Feldman, T

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.646271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.293967Z digest=sha256:3ab5312f5330ae44361b96a6a376663450c60087a5a55e9c011166122344d97c

Observation d2c1f458-14fc-480c-9599-96e2e6430b5c · outbound

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

Four-dimensional shrinkers with nonnegative Ricci curvature Fern´ andez-L´ opez, E

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.632257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.298400Z digest=sha256:dbf290a4b7f760ed390940c7fc76ac4c7dd49e842711681cfaa27fba0b96cf05

Observation 54819ce2-74c5-4fae-9337-75ae3b4360ab · outbound

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

Four-dimensional shrinkers with nonnegative Ricci curvature Fern´ andez-L´ opez, E

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.618601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.302774Z digest=sha256:2a791529e6c8945c87e10390fd4535002ad379070a7d5c84f0f76fd777cd692b

Observation a7e65b0b-ba98-4042-894f-7d3f7c4f47fe · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.604960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.307277Z digest=sha256:fe28151a9aa390313f89f7029ce7fd459687195066134faf43b04bf119d90789

Observation 7a7aafe8-081b-4dc5-88d6-667b72dc5055 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.590551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.311488Z digest=sha256:8502d3e55ddbaaf0d6f7ab4bbd6bb91f7a0649e325102a76b63e7c15db702c3a

Observation 9f24d8db-5ddf-44c5-bd1c-f4edf5dbdf25 · outbound

This paper cites Hamilton, Three-manifolds with positive Ricci curvature, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Hamilton, Three-manifolds with positive Ricci curvature, J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.574877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.315659Z digest=sha256:4c99896cd04e68f215bb06695698b3bc2296b3123a5774d11354d6cb3df805eb

Observation 928ecffb-7119-46f5-95af-e468702a4f80 · outbound

This paper cites Hamilton, Four-manifolds with positive curvature operator, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Hamilton, Four-manifolds with positive curvature operator, J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.560726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.319849Z digest=sha256:b334e9ad2ddc466b15e4e54e74c4f591c2bba3a8168277ed9b689d7d21768d75

Observation 49ac8d42-0c95-4f24-80db-89113eccd51d · outbound

This paper cites Hamilton, The formation of singularities in the Ricci flow, Surve ys in Differential Geometry, Inter- national Press, Boston, vol.

Four-dimensional shrinkers with nonnegative Ricci curvature Hamilton, The formation of singularities in the Ricci flow, Surve ys in Differential Geometry, Inter- national Press, Boston, vol

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.545536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.324569Z digest=sha256:57f3e872ad8fdcb4edb408721538d7d73339eea0900a14b38fc09158da0aa071

Observation 538648a1-7176-4f7d-9eee-c5ed136fb40c · outbound

This paper cites Haslhofer, R.

Four-dimensional shrinkers with nonnegative Ricci curvature Haslhofer, R

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.527921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.329480Z digest=sha256:13c87a11183c0bbbef0f1022134249e321f7079659b578100d49891c658a5ede

Observation 8f81a1d2-0086-44bb-b190-f7b75924ab97 · outbound

This paper cites Ishii, On the equivalence of two notions of weak solutions, visc osity solutions and distribution solu- tions, Funkcial.

Four-dimensional shrinkers with nonnegative Ricci curvature Ishii, On the equivalence of two notions of weak solutions, visc osity solutions and distribution solu- tions, Funkcial

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.512079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.334036Z digest=sha256:d85e93b47119b1b452098a0c38f2686ea89000d23e79f24027eafb1a0e723705

Observation e80d3e3b-690b-40df-b741-89fcb4041bba · outbound

This paper cites Ivey, Ricci solitons on compact three-manifolds, Diff.

Four-dimensional shrinkers with nonnegative Ricci curvature Ivey, Ricci solitons on compact three-manifolds, Diff

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.497411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.338683Z digest=sha256:a3d5e7f78c6cbadd4cae16e1b4beab500794f2904d2f37ab80507688f7b0b9fc

Observation 7db17713-03a5-46c4-90ab-39cbfacbc5f5 · outbound

This paper cites Kotschwar, A local version of Bando’s theorem on the real-a nalyticity of solutions to the Ricci flow, Bull.

Four-dimensional shrinkers with nonnegative Ricci curvature Kotschwar, A local version of Bando’s theorem on the real-a nalyticity of solutions to the Ricci flow, Bull

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.480881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.343312Z digest=sha256:ed672bbd2e30d0be176d765e7ad26d9b8c198fed99b9f882c08da6ae5bf51fd9

Observation 103bdeef-07a5-4cbb-93f3-d73296390658 · outbound

This paper cites Kotschwar, L.

Four-dimensional shrinkers with nonnegative Ricci curvature Kotschwar, L

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.466069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.347583Z digest=sha256:480f8e7697d40802acfe8e2b144a15ed6f845e434b3b4a4d94763ed027c9f448

Observation ff1715e1-4353-4b11-bef9-72e6a3f3a62d · outbound

This paper cites Kotschwar, L.

Four-dimensional shrinkers with nonnegative Ricci curvature Kotschwar, L

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.451664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.351899Z digest=sha256:8d440abe0d484e7650a2eb19a92f43e9f5f67051c400a104a5b486126ecf16f4

Observation b92e31f0-02a7-4448-9dea-14b2a115ee59 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.437411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.356016Z digest=sha256:71a4406d44fd595426493404e4591db42cd3a42e0af1b9e8a1782f3edb506b42

Observation 676468fd-c134-4f39-bf24-1700c375c1c7 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.423348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.360820Z digest=sha256:9c7ed03e0b9546815a6684d80a322d5366f02541217e6bdfb6dcb5153a5bd135

Observation df44a348-2bb6-490f-b50b-f0591491ce9a · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.408709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.365532Z digest=sha256:6f1ad106a573c57a706e20762393a3902c245dc8e997d6a8f97d12ef188e5272

Observation 8dbb0389-d8e7-42e5-9925-1029edc001e7 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.393911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.369871Z digest=sha256:04d99d7176a9ebd02288eb3c783c6c10c951daab7a374b417e2379d89b47f506

Observation e28557bc-2022-4f8f-9b15-d766daaa3bc3 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.378729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.374571Z digest=sha256:5d39f59b2f95e9f7a77d565c0befa6207bcb9ba076c9818a2b1bf887d3ef5887

Observation 1b2b2936-f3b0-4ae6-be6e-ded961a7de8c · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.362831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.379276Z digest=sha256:e7bc091a53f1ed39949e5038631236f6b394cfbf5bd8e9ad3ac4375f42c5fe30

Observation aebee0ba-3a1a-4475-8e63-33bd30bd85ca · outbound

This paper cites Munteanu, N.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, N

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.346851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.384213Z digest=sha256:4bb5f965546de6910b1508b224d10eb590b53762914d1e944ab77627ac8512b0

Observation f5e66210-36ad-431e-b21e-1b4077b4b595 · outbound

This paper cites Munteanu, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.330231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.388518Z digest=sha256:a941f762366a2a125dbe8e314eaa4a316e047acac30758d49f60b082d1115fd1

Observation c8d033b7-a276-4664-aaaf-0db2481a6d5d · outbound

This paper cites Munteanu, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, J

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.311343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.392643Z digest=sha256:14791f56aafe7c2fa9e2b10a4234821650368d54ef4b1b75d4d53bc9e158c349

Observation cfa17b7a-86e5-4043-a80d-71f81780997f · outbound

This paper cites Munteanu, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.294978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.397222Z digest=sha256:e9e1aea37c84036ba544128d65802de4cacfb5c1fee985cee9b7d9c468251da4

Observation fe0fbb08-71d0-4f74-bbf2-225efa6e881b · outbound

This paper cites Munteanu, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.280203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.402108Z digest=sha256:83d037d3ffa25da1776290ed6c7b2400a8679a72ecc7ef511b4bc938247095e0

Observation a54de6aa-e94f-49e9-8ec3-d8786ed639ad · outbound

This paper cites Munteanu, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Munteanu, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.265055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.407253Z digest=sha256:4190873a6fe737ea237a1007662ce27e18bab0e9d98c6fb61f83626bcf944b47

Observation 3da5e719-e38b-43f0-8d0d-62ceeb083a0e · outbound

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

Four-dimensional shrinkers with nonnegative Ricci curvature Naber, Noncompact shrinking four solitons with nonnegative curvature, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.250313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.412133Z digest=sha256:e7b884220d6d9c873d068434dc61a97c6d0903642c72c7904769bbd56d65e3b3

Observation 3d84c414-c09e-42a9-bd97-1d333b7b215c · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.232397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.417070Z digest=sha256:d1f26222f0539747d9dc0cc432c5e712f2f4129d4d92a1f20c7c3a3de673bd76

Observation 29b4bdf1-8326-4b9b-a01c-613856e98cde · outbound

This paper cites Ni, Ancient solutions to K¨ ahler-Ricci flow, Math.

Four-dimensional shrinkers with nonnegative Ricci curvature Ni, Ancient solutions to K¨ ahler-Ricci flow, Math

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.215911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.423178Z digest=sha256:9ee4b31506043c12db2156250dbcd293066eab83866ea105667416c715b01da9

Observation ff5ccf7a-edaa-4d82-bccc-c630827eab2e · outbound

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

Four-dimensional shrinkers with nonnegative Ricci curvature Some rigidity results on shrinking gradient Ricci soliton

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-16T01:07:42.428551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:07:42.428551Z digest=sha256:c885d4c62c8040ba60a150d669cd559b3c60349e4e0b3ce8095657a4dc3033c0

Observation 462208f5-f56a-4358-9c4f-c6d1a2053d4b · outbound

This paper cites Perelman, The entropy formula for the Ricci flow and its geom etric applications, (2002), arXiv:math.DG/0211159.

Four-dimensional shrinkers with nonnegative Ricci curvature Perelman, The entropy formula for the Ricci flow and its geom etric applications, (2002), arXiv:math.DG/0211159

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-16T01:07:42.434518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:07:42.434518Z digest=sha256:51883be9d1f3834ba808ae3301509ceaee7c376afed97efa3e36e7c1d6f02721

Observation 50709849-627b-4eca-8694-117b9e6b183b · outbound

This paper cites Perelman, Ricci flow with surgery on three-manifolds, (2003 ), arXiv:math.DG/0303109.

Four-dimensional shrinkers with nonnegative Ricci curvature Perelman, Ricci flow with surgery on three-manifolds, (2003 ), arXiv:math.DG/0303109

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-16T01:07:42.439440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:07:42.439440Z digest=sha256:f47c9149003ed627b94fdc64218d8089c94b5c9e7fc73fa61d8ec6102caae53d

Observation b89f00f6-d4ca-490c-a5d2-0db80cd449d2 · outbound

This paper cites Perelman, Finite extinction time for the solutions to the Ricci fl ow on certain three-manifolds, (2003), arXiv:math.DG/0307245.

Four-dimensional shrinkers with nonnegative Ricci curvature Perelman, Finite extinction time for the solutions to the Ricci fl ow on certain three-manifolds, (2003), arXiv:math.DG/0307245

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-16T01:07:42.444780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:07:42.444780Z digest=sha256:83519e51042f4f185a8cd6f3eb93488917352e53bfa6d98e7bd946384cd1e67c

Observation d11966ba-e272-44de-9e39-477ea38a1088 · outbound

This paper cites Petersen, W.

Four-dimensional shrinkers with nonnegative Ricci curvature Petersen, W

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.200864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.449598Z digest=sha256:30d32ab2329ab02803da18fee4599460c9e165992db678726c4132a68e4df542

Observation b67fd070-e578-47c6-ba05-b9fcb15a876e · outbound

This paper cites Petersen, W.

Four-dimensional shrinkers with nonnegative Ricci curvature Petersen, W

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.183704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.455095Z digest=sha256:c884a9c0e228d8f0fc25f88afe2ac97fd940156cd1021018891205e461edf0f8

Observation 5397c35f-a065-4561-8814-d46327f5a5da · outbound

This paper cites Pigola, M.

Four-dimensional shrinkers with nonnegative Ricci curvature Pigola, M

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.168006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.459419Z digest=sha256:70436dbd92b6f2036fa7194640beb0529877fe32caffd866fffc6ae3340c0d5e

Observation 34360e9e-8e95-4aee-8d18-e8cc08fb3d0f · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.150731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.464092Z digest=sha256:6b95ca0d4342eb52fda469ec4b6bc380d38a0fabef9c769bf78a88359ee773e6

Observation d95c6b0d-1749-4a3c-8e17-b2de819a1c9a · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.135146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.468691Z digest=sha256:769bdd6764a289e314acdfd74864296c786133a252ff8955b9c5c6733495957b

Observation 95461d1d-ab33-474f-9890-1ea79d1ea025 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.115870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.473020Z digest=sha256:d45bd78875807b38200fe4ea9599e9f2201092728bcad72e1e4fe0abacef1fdc

Observation 84990a56-039e-4785-b89e-25ba525e8e17 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.098571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.477690Z digest=sha256:e714263e179e66f62a6ffbc0f6f010767586bcb5ec9906d8f24dba893f4e2f61

Observation a2b1aa8c-317e-4560-b392-f90970e2a4fb · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.083253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.482311Z digest=sha256:f0ae8efa27847ac86a10adba8431f58f8c19e75004cf3acb38f810932093d02d

Observation 3ea42818-53cc-4c03-a5d1-9b9b5340134f · outbound

This paper cites Conformally invariant rigidity theorems on four-manifolds with boundary.

Four-dimensional shrinkers with nonnegative Ricci curvature Conformally invariant rigidity theorems on four-manifolds with boundary

Reference 69

Resolution
verified exact
local_arxiv, observed 2026-08-16T01:07:42.547532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.489719Z digest=sha256:37d9df1ac3213950ccae4cb11de17b3b477d5cbb16b2a0a5c36dc6234c3b4dbc

Observation 75406da4-9ce3-432d-8781-ac272dc92932 · outbound

This paper cites an unresolved cited work.

Four-dimensional shrinkers with nonnegative Ricci curvature Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:07:43.065720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.496651Z digest=sha256:ba340a944b2e1cd260c985f191a440e83bb68230fc412e7a3f0b0108ccee41e1

Observation 95404e17-9c63-47ee-942d-264e7a0a2a0f · outbound

This paper cites Zhu, Geometry of positive scalar curvature on complete man ifold, J.

Four-dimensional shrinkers with nonnegative Ricci curvature Zhu, Geometry of positive scalar curvature on complete man ifold, J

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:07:43.050033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:07:42.501518Z digest=sha256:31d264ca8ef781e2e25291c56a82ed30111c36d40df3d7266d834db38ac1c957

Pith citing papers

Observation 23b47a5f-7b67-47e4-b6dc-6f2ad6d80ff7 · 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 Four-dimensional shrinkers with nonnegative Ricci curvature

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-12T19:40:21.874309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:40:21.874309Z digest=sha256:7d7c620b4911f30ffb18803bb2fcdf9e1ac68f8616b96a487a3fab39c9174ebb

Observation 375151e6-de47-4283-b2a8-fc26abfc1238 · inbound

Rigidity of Five-Dimensional shrinking gradient Ricci solitons cites this paper.

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:09:18.307538Z digest=sha256:893c29307bb4782663bb0549e1966a19a326140608c310d6c2245118fe05fe72