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Paper Citation Record · LEDGER

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds

As of 22 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2412.14310.

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

pith.paper-citation-record.v1
2412.14310 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:35:39.901993Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:32:56.232536Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T17:17:07.063858Z

Reference resolution

23 of 23 outbound references displayed

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  • verified fuzzy18
  • unresolved4
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External citation measurements

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Outbound references

Observation 7dc6ac58-9ae5-45b0-ad5d-1c8015b95230 · outbound

This paper cites Ahara and A.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Ahara and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.405314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.780705Z digest=sha256:c8e4950b2be521ab9685262d485bf62aa868ce90ea5d8beb5d2731792c8a81bc

Observation 9dd4aaac-b337-41c8-93d7-1b570258b86d · outbound

This paper cites Atiyah, Convexity and commuting Hamiltonians , Bull.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Atiyah, Convexity and commuting Hamiltonians , Bull

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.389500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.787399Z digest=sha256:87fcea2cd845cce7bb133ae889ec59d6ef134bcae42d2247cf0aef5dcde6d8cf

Observation 0cbdc27d-c35c-488d-9a5a-7b2f740886fe · outbound

This paper cites an unresolved cited work.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:35:40.372299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.792657Z digest=sha256:a180b159008f10174428fefa3de4a325c86475a197634109d0ee3c59b4c6bc6a

Observation 665b5940-9873-4ab3-ad3d-2733cab64e98 · outbound

This paper cites an unresolved cited work.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:35:40.354264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.798177Z digest=sha256:9c577e32151b087d279ac0c5c90c2b012c9fda804a6c78cda35efe3c75267897

Observation 4b1b5ef1-7863-457f-8366-cd0934501e9a · outbound

This paper cites Berline and M.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Berline and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.334814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.803820Z digest=sha256:1d03a282c2dd1dd6d2a6c2387a688e0be41beb1dae41714ac97b60d4aa905a62

Observation 381f55e8-1f9f-4b4d-92c1-a04c8408accd · outbound

This paper cites an unresolved cited work.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:35:40.314803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.809979Z digest=sha256:a93c21404a9def52ace4c500213005550f51fc1fc9ea1237e89fc0906e1e4dd0

Observation 106a4905-174a-4e86-ad2c-7a5237cd8497 · outbound

This paper cites an unresolved cited work.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:35:40.293904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.816652Z digest=sha256:ce427cc420235ebf3dd44571aad4180d225e1a4f71bbea4baa52474b214d7172

Observation 44364a35-c5ff-419b-b1fa-a9f4462f53f3 · outbound

This paper cites Delzant, Hamiltoniens p´ eriodiques et image convexe de l’application moment , Bulletin de la Soci´ et´ e Math´ ematique de France116 (1988), 315–339.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Delzant, Hamiltoniens p´ eriodiques et image convexe de l’application moment , Bulletin de la Soci´ et´ e Math´ ematique de France116 (1988), 315–339

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.259905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.821290Z digest=sha256:a27f708361b7f3bbec1436807a2c8515d380fae8984fe6cba755168708aedbbc

Observation a7a921c2-b2dc-48a8-8bdb-1efd1076583e · outbound

This paper cites Farb and D.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Farb and D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.239552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.826579Z digest=sha256:77c1e713e8136aae3676ccf2b5b93544777db524671c2bfe465c234951291b37

Observation ec6df02f-859c-4c79-b3c2-8ee01959b681 · outbound

This paper cites Fintushel, Circle actions on simply connected 4-manifolds, Trans.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Fintushel, Circle actions on simply connected 4-manifolds, Trans

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.213861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.831734Z digest=sha256:924cb761e521615cfd4924b96adf9b5b14517f77b6304ab718ea719e183ff20f

Observation d2ee9fd6-c95c-4c29-b5ca-45c814c5c157 · outbound

This paper cites Fintushel, Classification of circle actions on 4-manifolds, Trans.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Fintushel, Classification of circle actions on 4-manifolds, Trans

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.192446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.836962Z digest=sha256:b654ffb4faebed92f4dd035dc3a327e1122015fc2e05d58064296d4391f39276

Observation 66f97cf5-5c8a-4b03-acfa-7bab17472115 · outbound

This paper cites Guillemin and S.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Guillemin and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.169042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.842220Z digest=sha256:9ff9dc0c1ba8e437c3968db0f5d86c3fa7eea54969722d5a11190140772c3dc4

Observation bcc780fc-03a8-49ff-93a1-2ca85870fda7 · outbound

This paper cites Higashitani, K.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Higashitani, K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.134600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.847687Z digest=sha256:68793697c295e0dff506d20e0d3e0e36b5a4449bf271dfca9952c666ee154c22

Observation 42f28930-ed63-46bd-ac67-73282484258e · outbound

This paper cites Equivariant cohomology of a complexity-one four-manifold is determined by combinatorial data.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Equivariant cohomology of a complexity-one four-manifold is determined by combinatorial data

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:35:39.951782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.853050Z digest=sha256:91f2bdd48142bda2e07148807ff054dde239c52c58c1d131202db9c60cfcc558

Observation de047c73-f640-43d2-b19a-8da5d4a071a3 · outbound

This paper cites Karshon, Periodic Hamiltonian flows on four dimensional manifolds , Memoirs of the Amer.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Karshon, Periodic Hamiltonian flows on four dimensional manifolds , Memoirs of the Amer

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.114872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.858630Z digest=sha256:2377137e116b135963071c232c0e188740b31a540f404315c79a271858cfe3c9

Observation 400dde87-6a30-43a3-8d37-bd3ab4e4baf2 · outbound

This paper cites Karshon and E.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Karshon and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.097703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.864602Z digest=sha256:08024b5fe90ef95d727949441e989a1c79b54d162faac88d7d243a8e18b00b94

Observation fb80f52f-4f06-454d-b8da-0fde9d898002 · outbound

This paper cites Karshon and S.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Karshon and S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.080331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.869350Z digest=sha256:ae56800edbb0be19141e98ed79fbc98e44165386fd874fe6852f65c5a2586d9e

Observation 0231231b-08fb-4ad0-91e6-613e03674b79 · outbound

This paper cites Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry , Princeton University Press, Princeton, NJ, 1984.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry , Princeton University Press, Princeton, NJ, 1984

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.062978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.874657Z digest=sha256:bfad2bb2fcdb114cf588913c2485e955a4062bc06bd329e63aca7155c05e5406

Observation dc93f90f-6de0-4635-9595-e4287a46cba7 · outbound

This paper cites Masuda, Equivariant cohomology distinguishes toric manifolds.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Masuda, Equivariant cohomology distinguishes toric manifolds

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.042009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.880220Z digest=sha256:3cfbcf6ec45d8fbc156a524959798f627aad987ff4edc10d54d9e8f39bba0b7c

Observation 18e96c37-4407-4675-a51f-877b42d18bc7 · outbound

This paper cites Masuda and D.Y.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Masuda and D.Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.025134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.885383Z digest=sha256:2a057348e832f2a2a382149418570a71339ac62a0f771aa5d50259c991cdc98d

Observation 8a65b8ab-07ad-445e-9628-0b8f37cbcfdc · outbound

This paper cites S¨ uss,Orbit spaces of maximal torus actions on oriented Grassmannians of planes.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds S¨ uss,Orbit spaces of maximal torus actions on oriented Grassmannians of planes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:40.006886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.890905Z digest=sha256:62fc0802d0d21bf8700bd6029e92ed5dce9265f727396a18608b005da78b669f

Observation 6e781892-26cd-442c-87a5-ac7c8854e82a · outbound

This paper cites McDuff and S.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds McDuff and S

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:39.988461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.896763Z digest=sha256:9807390591ebaca7dee6dbaaa366eca1b9fd18ba41a4ea547f6e075efa3f11fa

Observation cd096156-5cc2-4de2-91b9-a9624078dea9 · outbound

This paper cites Tolman and J.

Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds Tolman and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:35:39.969709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T12:35:39.901993Z digest=sha256:57d3e55942123cd576c0b8fb9ec9aab9188869777ade1bf96ceffcbb19743017

Pith citing papers

Observation eb86129c-a767-475a-94fb-ba13702ca3ac · inbound

Boundary framings for locally conformally symplectic four-manifolds cites this paper.

Boundary framings for locally conformally symplectic four-manifolds Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-08T17:17:07.067619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T17:17:06.739901Z digest=sha256:0fe6f25bc63a7d2708e6cb9410f7a827a1d1ed700772e08545ebd482f8851c23

Observation a2880589-4a2c-410b-b257-a2e9da7f586e · inbound

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions cites this paper.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.232536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.232536Z digest=sha256:07e97bde2cb1f0eeb0ea0c8be68c52714ab93b19d4fcb8f07dd0dcc200ce7229