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Paper Citation Record · LEDGER

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.10545.

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

pith.paper-citation-record.v1
2506.10545 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:36:37.151754Z

measured 26 of 26 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 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

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bec8a759-65f3-4d90-8833-dc970eccda17 · outbound

This paper cites Albers, U.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Albers, U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:40.427106Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.269711Z digest=sha256:fc5a88684def3ff0a25ae5f429ba6b89cd6649609c3a3bf60d6bdaaa05482eea

Observation da392a01-34fb-4d2a-805e-7d78083c9dd5 · outbound

This paper cites 1, 3719–3722.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps 1, 3719–3722

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:40.294918Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.309683Z digest=sha256:ae45bf9a88b439681e26e9b8c7a1f45f98552221c985d20cb1bbb00e2b00763c

Observation 8af7cd03-380a-42b8-a466-8fe5757ed327 · outbound

This paper cites 60, Springer, 1978.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps 60, Springer, 1978

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:40.148635Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.396531Z digest=sha256:e7f450f9f54caa44a23792baeff9073ca17c5d712f4ab4d6ed7108dbc413d1ce

Observation 3269126b-e371-40c7-8fa0-076661650e18 · outbound

This paper cites Arnold conjecture over integers.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Arnold conjecture over integers

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T04:36:35.497125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:36:35.497125Z digest=sha256:082ebcdc68c9967bca3f36c7e84c06465bc248817c1306a30a04c1dbf9e5498c

Observation 90f6ffd5-7bb8-44ac-b7f8-332a20c2d0d4 · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:39.971085Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.680501Z digest=sha256:7fc2b521b4efbc47478122bee11a5f7efae5ea8289883560d8ce107a715af2e1

Observation f476164c-ff10-4d69-aee0-f5abe7f377d0 · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:39.861793Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.763649Z digest=sha256:a1fe2cf60eddbc23e3c356f5345546d16d0f5a688bc7cd0a74520b455fbf1c3d

Observation baeb9271-2d7d-4860-a561-52f785d8edb1 · outbound

This paper cites On Some New Long Periodic Solutions of the Plane Restricted Three Body Problem.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps On Some New Long Periodic Solutions of the Plane Restricted Three Body Problem

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:39.686763Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.841648Z digest=sha256:61fe82a8be2c523798f91e47f77476c0fdf01f0fabe5db91a059d2e9dceca461

Observation ebc622f8-fa86-4ec2-90aa-e22f143e349f · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:39.532182Z

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.

source=arxiv_source observed=2026-08-07T04:36:35.931691Z digest=sha256:272f31238a9383837d835a8c731d24b39cc2eef4bd0a375239d289af9d8ef56d

Observation 8291cc3e-79bb-436e-a485-dde92428253b · outbound

This paper cites orner, Hansj\.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps orner, Hansj\

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:39.396248Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.013105Z digest=sha256:73e3d7853300753412ca3d46c2e100969a6ed42ad2550653a3b441c22c5a2c10

Observation 3f0084a2-3339-4856-97de-92897a2086fa · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:39.258624Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.090109Z digest=sha256:a2c64742c7413c61e7864c86d005f3560ae5da728c04ba2568baf7cc3ac380da

Observation 495ab50a-cc90-4365-9eb9-d56dc3ef6c1e · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:39.164120Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.133449Z digest=sha256:3d8314dfcb077c9c9ff69e5044130381cffae2644bded92aff978f4f23742184

Observation 6286ceec-31c3-4549-b570-cb14d5ca8e1a · outbound

This paper cites On the part of the Motion of the Lunar Perigee which is a Function of the Mean Motions of the Sun and the Moon.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps On the part of the Motion of the Lunar Perigee which is a Function of the Mean Motions of the Sun and the Moon

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:39.065604Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.209084Z digest=sha256:793d6ce57acc2f2254922df09e29658b7df0290fe9d814acb1359c786a5ce1cb

Observation 4836b217-4b5c-4f2c-8215-870d3f0180a5 · outbound

This paper cites Researches in the lunar theory.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Researches in the lunar theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.912050Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.260851Z digest=sha256:6e2b659001a5bd0972685528c67f2c1e018601d8044910b694309a99560449ec

Observation 6b704335-750c-4e1c-8433-2f8ec896d533 · outbound

This paper cites S.; Wysocki, Krzysztof.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps S.; Wysocki, Krzysztof

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.769790Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.294387Z digest=sha256:d7d6c1f3a2160413f8c4f1130e94348215c1bf7278ee2073e1e491d337b3bb2b

Observation f674cb51-afe2-4c71-8747-0aed3ab77524 · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T04:36:36.326448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:36:36.326448Z digest=sha256:b457b3ce8e7b973acb9757ba33d8222c306ee7914d21842c613d389eb4101242

Observation b2953942-df48-4767-9030-665b4bd4d520 · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:38.665425Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.402488Z digest=sha256:8f1f82696d32b139ba5d45a48839a4b601209f0fc69008796404bc8cd0fcbf32

Observation 9b103edc-1df3-402e-ae79-9c87bb006fb3 · outbound

This paper cites Fixed Point Theory Appl.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Fixed Point Theory Appl

Reference 17

Resolution
verified exact
doi, observed 2026-08-07T04:36:37.325151Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.485168Z digest=sha256:dcb1011d08dc72ead70647381279ed1bd0da17275468789ff9bbef018540bb45

Observation 66542bfe-b796-46ba-8b28-1591fa41058f · outbound

This paper cites A Relative Poincar\'e-Birkhoff theorem.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps A Relative Poincar\'e-Birkhoff theorem

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:36:37.479705Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.536056Z digest=sha256:9ae4e37632dff978ef124d0e752162d964c557c7ac97dd97f5231931abfeccd0

Observation 5f46a3fd-697b-480a-9679-c4ff514be127 · outbound

This paper cites To appear.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps To appear

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.545272Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.645326Z digest=sha256:ebe2ed3849409fdd1eed717e673b5f56726c30a6fbb5f7c0d2ffe81d2b72bc6f

Observation f5e91dd5-c4e2-4810-8e3f-e2dda560c5fd · outbound

This paper cites A generalised Poincaré-Birkhoff theorem.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps A generalised Poincaré-Birkhoff theorem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.389575Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.700018Z digest=sha256:163bddfad862d4026ebcdce6de01039bac5bc63cadf549d16da07cfe781d4e70

Observation 79407443-89c0-44ad-9db7-af09339ce470 · outbound

This paper cites Global hypersurfaces of section in the spatial restricted three-body problem.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Global hypersurfaces of section in the spatial restricted three-body problem

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.242747Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.771604Z digest=sha256:09189599d95e2cdb46ce6f6dfd32b1d34a8ac526c869795c4817f27cd47023fe

Observation 16bc9bc4-ad3e-47e3-b655-a758854be1b1 · outbound

This paper cites Second species orbits of negative action and contact forms in the circular restricted three-body problem.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Second species orbits of negative action and contact forms in the circular restricted three-body problem

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T04:36:36.850782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:36:36.850782Z digest=sha256:57d79b21218510de36f30ee709fb2fcdba3180aa2137865b2ed73fe86777201a

Observation 7163afe7-62ff-4aec-a21f-72fc5c11eabd · outbound

This paper cites Les M\'ethodes Nouvelles de la M\'ecanique C\'eleste, Tome I, Paris, Gauthier-Viltars, 1892.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Les M\'ethodes Nouvelles de la M\'ecanique C\'eleste, Tome I, Paris, Gauthier-Viltars, 1892

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:38.070881Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.916132Z digest=sha256:0f1860ca5b4431e912a1021160339e715410a35b015f47027c54d20a28e9b29e

Observation 1f292bee-37b7-4c77-8fc2-206ae9e6738a · outbound

This paper cites Sur un th\'eor\`eme de g\'eom\'etrie, Rend.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Sur un th\'eor\`eme de g\'eom\'etrie, Rend

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:37.908113Z

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.

source=arxiv_source observed=2026-08-07T04:36:36.991767Z digest=sha256:8ce60fb8997983189af9d1c189ebab518f9427c64b3af6491b457c2a69a070bb

Observation e630c27f-4080-401d-8250-7fcdd6457a7a · outbound

This paper cites an unresolved cited work.

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:36:37.717456Z

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.

source=arxiv_source observed=2026-08-07T04:36:37.052285Z digest=sha256:6e9ce8c8137ac80ed759086cbbe0a66e6a08b89a46a2229cbd2a1fb352e2fa84

Observation cad0c2fd-1d54-4870-874d-48a903c6b79d · outbound

This paper cites PhD thesis, Stanford University (1999).

A Poincar\'e--Birkhoff theorem for $C^0$-Hamiltonian maps PhD thesis, Stanford University (1999)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:36:37.598161Z

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.

source=arxiv_source observed=2026-08-07T04:36:37.151754Z digest=sha256:95b97bd68889cf2af36fdf81b68cec53cafcf6bbb27567bd6860bd98f585c127

Pith citing papers

No inbound Pith citation observations are available.