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Paper Citation Record · LEDGER

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

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.269711Z digest=sha256:18f7ecf7085df60c9a7a43057eb2dc33fc6a8e22d20740d5b225730d2cc97629

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.309683Z digest=sha256:054ea6db4d667283d2d9f44380451035a6165ca97590b5a5d77fb69ed1ea8fca

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.396531Z digest=sha256:7e2a6dff204b1ebab06c99e064ead5a6e81f360de9032b39bcc00745d6647bc0

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=sha256:98b97bfbcb9b23bd225144d77ab77be5f699811d5241fc4874ac796fa0eebdc3

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.680501Z digest=sha256:9a84e6bdaf95edd96c51606246c8e8b9cedd8acdf73a69b62e85503943dfbb19

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.763649Z digest=sha256:4750b973084d111d94922314a20ab749b6a4341504cd9b928675458222bcb21b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.841648Z digest=sha256:389dab4b300e54e2b54bf500509f6ff5ed2c3022885bb4eccbe0b6490d8b7a3c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:35.931691Z digest=sha256:d4236755c9f713091e6de4b771ca3d2361c6086561fe01fdac4b470faee3042d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.013105Z digest=sha256:749935d400f7f49bba2d37380a7432069f622e77820d6500e956c88a8961e3fd

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.090109Z digest=sha256:20f884f13204503f6aaadc40a5adfbec6dc19052e73f26b53ab8b9c0dd47c6c6

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.133449Z digest=sha256:afb0b2ff086f6b4358a8c0df9b2dbb64af059b6412854a2f3ccd1dae61715512

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.209084Z digest=sha256:441273b22fc21955c890cac4866f8ad27aad57ae0106f0130e05ac3c567207e4

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.260851Z digest=sha256:1eb01d462c0cf2032a94a0d6e124e6e6c13334f74636ca1da44c8ee20acd6080

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.294387Z digest=sha256:81c41daff56ebfc3f66552bbe6ca129905ade8859d928559db3be021869fab66

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=sha256:9a61cbdcb820ef7d28375ce794f25926efd8a97ea483c66f80a88efba950038c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.402488Z digest=sha256:3e3a809875beb315952f824a2b2d6b39b96bbfddf2c295079a8cfff8852166d5

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.485168Z digest=sha256:d57aef24133194ed18f02b8c9803385731e16faf345a331ad5b7f5ba1b2d5b0a

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.536056Z digest=sha256:38137fa113df82dca21bbd6793ef7bdd0b06b5d162e9fbd035752fc6f0e1f294

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.645326Z digest=sha256:f94d7cdd068c05ec2f207dd4961cc171e89ec61b98da9e1e8810b927ef09622f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.700018Z digest=sha256:f63d51a8b26820b1e63391d73ddf1385f0ef3a2af26e194df7fb05f407fcd7be

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.771604Z digest=sha256:806fe2a92829b0020890245371f602f8e67d8d6e388254663e3100321cb108b9

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:f867bf5203f761dbf816f021194d90582ecfd318dc51af40717f4c1a3995ad6f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.916132Z digest=sha256:aab5420474bc47d8a98fb1fc105c72bd05a530acc27aa1e09009452628910f3c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:36.991767Z digest=sha256:ff940e858ef0cd9cd46cb8856ac19ced539f18ebac3abf324a738da9b68b1e71

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:37.052285Z digest=sha256:da82f62ce48480ca013cbaf4a765eb404bff486c69f42624903c0f1b227abf1b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T04:36:37.151754Z digest=sha256:836898cefdffab1afb9df5699348ca57ecfe691d5a464f363b17690a75141781

Pith citing papers

No inbound Pith citation observations are available.