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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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

source=pdf_text observed=2026-08-11T12:35:39.780705Z digest=sha256:78b0081bfbbee4c21e8e5e216313af520b26089c503ff02e0dcff764052c3acd

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

source=pdf_text observed=2026-08-11T12:35:39.787399Z digest=sha256:ff3e718d6373b5275b7a4d97e929a2272ce95bcc27c41650bf7ff3e1bdbb59db

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

source=pdf_text observed=2026-08-11T12:35:39.792657Z digest=sha256:7c9dcab45b2d1ea950f45edb9d539c87c204aa101f57da7ddca6e6e82a20e4eb

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

source=pdf_text observed=2026-08-11T12:35:39.798177Z digest=sha256:c4576512eb5b837310bd5f20bf4020c17fd75a9c5492b7ce47089981b16cde07

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

source=pdf_text observed=2026-08-11T12:35:39.803820Z digest=sha256:6be001b07c073ecea19d5dcd1642bf15519183e0150d1fe4b09fb4dccc215e56

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

source=pdf_text observed=2026-08-11T12:35:39.809979Z digest=sha256:3cf250f5f1cfe8fcaf8186b13ae01ac1bfa83b8eddedb8071122185397bff0e7

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

source=pdf_text observed=2026-08-11T12:35:39.816652Z digest=sha256:6a718d27d8f640d66e9ec77c2077ce2493c175a32e124403b51c50093f46f6ba

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

source=pdf_text observed=2026-08-11T12:35:39.821290Z digest=sha256:bc6ab6619d2f2bf11f2ebc3d9a8f17b895fb197005d10ec36cb5e72f92e6bb62

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

source=pdf_text observed=2026-08-11T12:35:39.826579Z digest=sha256:f87a77894dddfa0204521a669278cb249bebb909451b96f88a1fede130d0bf7e

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

source=pdf_text observed=2026-08-11T12:35:39.831734Z digest=sha256:a3627b5817b7772e341001b65acbecf181613e8ece5e28c4a5b24caaf3f17565

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

source=pdf_text observed=2026-08-11T12:35:39.836962Z digest=sha256:349496f64dc89ce83380776a9d5e3879789daa270eb03f290ce03216dbec27ff

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

source=pdf_text observed=2026-08-11T12:35:39.842220Z digest=sha256:6cdb51ff2e9e79fac055af2e67b96dcdc90a54fd4227169f4638cffa687c7b45

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

source=pdf_text observed=2026-08-11T12:35:39.847687Z digest=sha256:8727b22c452247d2e5c56580ca521395eb113dd8ca2b499dba97ce31c901ccfc

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

source=pdf_text observed=2026-08-11T12:35:39.853050Z digest=sha256:d9f5ca33f2b013e5f0ad52a9a098237841704f21c329392fe6b746aec06c7696

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

source=pdf_text observed=2026-08-11T12:35:39.858630Z digest=sha256:a733f3b565e2220025316629d45a30b65304e548ac819e63354316cad7df83ad

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

source=pdf_text observed=2026-08-11T12:35:39.864602Z digest=sha256:bffcd006037f05d790cdac747dcffc0c4d9a63ec3ef7553312aab385579a73e9

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

source=pdf_text observed=2026-08-11T12:35:39.869350Z digest=sha256:ef096874db4105759a9cde06434111b7b2a97361a9733a7a2bdd819de57744f4

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

source=pdf_text observed=2026-08-11T12:35:39.874657Z digest=sha256:fd3b8143e031286b9448e05b34282a55acb1df37a2e76b62592d288daa39df7e

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

source=pdf_text observed=2026-08-11T12:35:39.880220Z digest=sha256:d3189a1eef12446048af3db9637ab0aabaea23864b5a0d28aa802a8ac270cab1

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

source=pdf_text observed=2026-08-11T12:35:39.885383Z digest=sha256:95c75a637788b0d97fb595897353d916d3bca465831f0257a8da5c1e873bff87

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

source=pdf_text observed=2026-08-11T12:35:39.890905Z digest=sha256:e0676a8b70cee287eb423f6972159e617aad312ac6077e5484f7bf6592ae272d

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

source=pdf_text observed=2026-08-11T12:35:39.896763Z digest=sha256:421a6edbf035c1db0ab15c9b2cf4e41af025d79ae1f9508b78b91b1fd3b7ba4a

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

source=pdf_text observed=2026-08-11T12:35:39.901993Z digest=sha256:d9fd2c59f557ad2dcf997a51856b5283c45d53fccac4422d073bbd04070ff00b

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

source=pdf_text observed=2026-08-08T17:17:06.739901Z digest=sha256:794d63dd25c7174a4a325f19fdcb71c30c96afba513c897e2a3cf0ce37c2adaa

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=sha256:8e124e2993bdc3c4e7604bd82668f82ba8d9632ffe529456f4fcaf8b1a845e32