Pith. sign in

Paper Citation Record · LEDGER

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions

As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2509.04890.

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

pith.paper-citation-record.v1
2509.04890 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:32:56.282078Z

measured 23 of 23 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 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

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd1abda4-f1a3-4dde-a6ac-00f5beb2862b · outbound

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

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Atiyah, Convexity and commuting Hamiltonians, Bull

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.198132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.198132Z digest=sha256:e714225d3bc2887bb25e4fc3748f86f98efcf653c62c4f0e157eeb8eb8e3e9a8

Observation 8dcc2d63-5ad2-4c73-a94d-99a12c389434 · outbound

This paper cites Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Internat.\ J.\ Math.\ 30 (2019), no.\ 6, Paper No.\ 1950032, 71 pp.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Internat.\ J.\ Math.\ 30 (2019), no.\ 6, Paper No.\ 1950032, 71 pp

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.202358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.202358Z digest=sha256:38de706aaaaa838753fdc67a7bf443097d144db16e115fad5285bad7a1436475

Observation f99a81b4-8bf6-4532-8fe3-36c2c8663166 · outbound

This paper cites Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II, Internat.\ J.\ Math.\ 32 (2021), no.\ 2, Paper No.\ 2050120, 47 pp.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II, Internat.\ J.\ Math.\ 32 (2021), no.\ 2, Paper No.\ 2050120, 47 pp

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.206101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.206101Z digest=sha256:8804d46286158351c7866edbbb10966048d6c4a120a069f6e3e75e6e81ff1bf9

Observation 169671e9-0175-423e-baa8-167a6970f76e · outbound

This paper cites Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions III, Internat.\ J.\ Math.\ 32 (2021), no.\ 2, Paper No.\ 2050106, 58 pp.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions III, Internat.\ J.\ Math.\ 32 (2021), no.\ 2, Paper No.\ 2050106, 58 pp

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.209895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.209895Z digest=sha256:d619492af8507847616212ab55723c60e678e1eb5c003f4d7c5d935ae813a0a8

Observation 29d153c1-d823-407e-ba45-558cf60b19e5 · outbound

This paper cites Delzant, Hamiltoniens p\'eriodiques et images convexes de l'application moment, Bull.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Delzant, Hamiltoniens p\'eriodiques et images convexes de l'application moment, Bull

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.213958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.213958Z digest=sha256:a88ac757a0f786eb2ba4ae89ea71589332eac12d6f2e04792770c7abada74dbc

Observation 793aea52-d870-4d0d-872a-4e2db2faaab9 · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:32:56.503190Z

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=arxiv_source observed=2026-08-15T16:32:56.217606Z digest=sha256:26a0dc9d914477db5eac05d491f3ffda6af7222789dac0d5646133ca833e6e8f

Observation 2d085ed9-42cf-4200-9c08-c72c4cce6d4f · outbound

This paper cites Gonzales, Classifying semi-free Hamiltonian S^1 -manifolds, International Mathematics Research Notices 2011 (2011), no.\ 2, 387--418.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Gonzales, Classifying semi-free Hamiltonian S^1 -manifolds, International Mathematics Research Notices 2011 (2011), no.\ 2, 387--418

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.222238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.222238Z digest=sha256:b47981cea4d5d21f2fa56acee15967ca0044ac50952db46f5b9aecb6b9b15d0f

Observation 63bb1752-ccdf-414d-a0b6-00b6bf2a52ca · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:32:56.482027Z

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=arxiv_source observed=2026-08-15T16:32:56.225711Z digest=sha256:e1f4783379cf6d7764ad7cbf020769d0cbaf10d9391d53cc417259256e413af8

Observation 8d51cfde-4bbb-4b20-839b-821f4455a764 · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.229146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.229146Z digest=sha256:d8d8bb3146ef30a1b4adfaf19187fcb283b5ef0c441b3754879efbe8cc544850

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

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

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

Observation 220eff75-5eef-4af4-9e1d-356fdf9ab9fe · outbound

This paper cites Karshon, Periodic Hamiltonian flows on four dimensional manifolds, Memoirs of the Amer.\ Math.\ Soc.\ 672 (1999).

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Karshon, Periodic Hamiltonian flows on four dimensional manifolds, Memoirs of the Amer.\ Math.\ Soc.\ 672 (1999)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.236386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.236386Z digest=sha256:95a6e52b2bd637049751a25fd5c8cbec140386cefffeada17ae9c2f35e01cdf6

Observation 794c8095-1d91-4354-b98d-51ea8252c96c · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.239853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.239853Z digest=sha256:2d67ed808e0789df9d5b5055a6aa33df771fc9bc7d8110f48888ffd6d0e31ad9

Observation 816db82a-e500-41da-b9e7-8d12fd1d5080 · outbound

This paper cites On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:32:56.319999Z

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=arxiv_source observed=2026-08-15T16:32:56.243617Z digest=sha256:88a28ebd8e0c77558f4792161c367d37e7f9ff69e5058e40c567e9bba706281e

Observation fc0e31ef-ab1d-428c-a4e2-255ef9cc552f · outbound

This paper cites Lalonde and M.Pinsonnault, The topology of the space of symplectic balls in rational 4-manifolds, Duke Math.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Lalonde and M.Pinsonnault, The topology of the space of symplectic balls in rational 4-manifolds, Duke Math

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.247307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.247307Z digest=sha256:d3bfd99c593996833dd46dab999ffaa20327b947b29a9658507bb2494565a7a9

Observation 1e84f65a-7622-4336-b589-3408ca6bb437 · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.250717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.250717Z digest=sha256:135a1439de3a1cdc232c22e381453e0b1403914aa795d0f10cc9091c5ea12df9

Observation e901b965-6d79-477d-88c5-bc9ab6a433fd · outbound

This paper cites Masuda, Equivariant cohomology distinguishes toric manifolds.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Masuda, Equivariant cohomology distinguishes toric manifolds

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:32:56.427051Z

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=arxiv_source observed=2026-08-15T16:32:56.254163Z digest=sha256:2923f4579f17021bc08350c11dc53c382513d62641628b7b6027c69e2b706dca

Observation 7eb10ce3-544a-4980-9286-1ea25d38fd23 · outbound

This paper cites Topology 2 (3) (2009), 589--623.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Topology 2 (3) (2009), 589--623

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:32:56.413747Z

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=arxiv_source observed=2026-08-15T16:32:56.258445Z digest=sha256:7d41206f910b5aa8ab12a139de3b97141c4b39f5a5438c50acbbafd878d7ec9f

Observation 3ae5bc08-b569-4de6-8150-9afd0ba4f0a7 · outbound

This paper cites American Mathematical Society, Providence, RI, 2005.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions American Mathematical Society, Providence, RI, 2005

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:32:56.400606Z

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=arxiv_source observed=2026-08-15T16:32:56.262512Z digest=sha256:c61918b01ba4102c07e1ac41db1facbd05d38eaa7b88cba58e7e8eb2f924fb3e

Observation 20b1296a-7482-444b-a207-0e24e0cb486f · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:32:56.388290Z

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=arxiv_source observed=2026-08-15T16:32:56.266512Z digest=sha256:c10f91962f9637c91abf9a19c10352bf543a0462965d7df9022aac97f1d2e05e

Observation 12ec75a8-acd9-4e5b-9340-36b68c2fa064 · outbound

This paper cites an unresolved cited work.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.270187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.270187Z digest=sha256:43bf09e8d01c880f4161594b32a00722e90fdfc661886a4cb7b73332f36184d3

Observation cfb1af85-3c4f-42a6-9681-b9955113f8c3 · outbound

This paper cites Tolman and J.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Tolman and J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:32:56.367840Z

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=arxiv_source observed=2026-08-15T16:32:56.274403Z digest=sha256:0893ea4058c8494d14d009428b97d66368873f23b86640655f7d351ad08e6c30

Observation b7a36968-a6cf-40df-b40e-e368e87574a5 · outbound

This paper cites Tolman and J.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Tolman and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:32:56.355613Z

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=arxiv_source observed=2026-08-15T16:32:56.278302Z digest=sha256:77f06b4408a6d9c554d494983a25b81fc7834ed3acf949fec48d4264e5d578c1

Observation 4eeaa701-7a32-4b4c-b024-a0fa4aee6316 · outbound

This paper cites Weinstein, Symplectic manifolds and their lagrangian submanifolds, Advances in Mathematics.

On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions Weinstein, Symplectic manifolds and their lagrangian submanifolds, Advances in Mathematics

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T16:32:56.282078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:32:56.282078Z digest=sha256:56fc5874715b045852e08802d9afd5a2403d5f250045910cc5047120704de50a

Pith citing papers

No inbound Pith citation observations are available.