Paper Citation Record · LEDGER

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs

As of 7 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2506.06608.

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

pith.paper-citation-record.v1
2506.06608 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:02:00.411810Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:41:43.491520Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy28
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871714cd-0914-4cde-a940-41792f754fcd · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.889856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6a00f1f0-b854-4bcf-bed7-57c59aa39b16 · outbound

This paper cites Addas-Zanata.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Addas-Zanata

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.877328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e01f0eb1-e8f2-49ad-95b8-36f43a78a2d2 · outbound

This paper cites Addas-Zanata.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Addas-Zanata

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.864050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f4d12dda-fae1-41d0-8493-48430cd74ad4 · outbound

This paper cites Addas-Zanata, F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Addas-Zanata, F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.850158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d9a8c804-2f67-4af8-8980-872a9482cadc · outbound

This paper cites Some extensions of the poincar´ e–birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to dehn twists.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Some extensions of the poincar´ e–birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to dehn twists

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.836581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 04956ae2-402a-4953-912d-784d3c6a2ebc · outbound

This paper cites Inclusion methods for systems of nonlinear equations – the interval Newton method and modi- fications, In: Topics in validated computations, Stud.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Inclusion methods for systems of nonlinear equations – the interval Newton method and modi- fications, In: Topics in validated computations, Stud

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.822854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c4b53aec-dd6a-4e91-8147-9c865d45a848 · outbound

This paper cites Birkhoff.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Birkhoff

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.808307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be9cc241-60e7-451a-b552-2af2d01c05c4 · outbound

This paper cites Birkhoff.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Birkhoff

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.794334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 373852ae-0bb0-4a89-8259-9badee320dee · outbound

This paper cites D´ avalos.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs D´ avalos

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.781554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 36dfac38-b81d-40d6-9ffa-79de966d0e52 · outbound

This paper cites D´ avalos.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs D´ avalos

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.768854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f62ea2b-4f07-4170-bf1d-fb22b120bc8b · outbound

This paper cites del Castillo-Negrete, J.M.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs del Castillo-Negrete, J.M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.756007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b07e7dfa-cd73-4143-9854-ed533f98d2bd · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.743053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c01a12c5-3bcb-4dea-b59a-dfb6098c5693 · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.729906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8a05dd5d-4d11-4ffe-a15f-37a23fe33a81 · outbound

This paper cites Gonz´ alez-Enr ´ ıquez, A.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Gonz´ alez-Enr ´ ıquez, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.716405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3cb2bbe3-ea44-42b7-bfe9-0dcc6bab2679 · outbound

This paper cites Guelman, A.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Guelman, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.703292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4eebe5d2-a7cc-4330-81e4-fdd9409a8a1d · outbound

This paper cites Handbook of dynamical systems.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Handbook of dynamical systems

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.689312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a72bbd9-d2b2-42bc-9b63-a01f42c92ca1 · outbound

This paper cites Hernandez-Corbato.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Hernandez-Corbato

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.676500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be12f4f9-30e7-400b-862a-8162fd946874 · outbound

This paper cites On the onset of diffusion in the kicked harper model.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs On the onset of diffusion in the kicked harper model

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.662766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f9cceb4b-aa0b-44f9-a391-b5a8ab43b14a · outbound

This paper cites Koropecki.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Koropecki

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.648084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 05063ccc-c5d3-41bd-bca5-575732a9e635 · outbound

This paper cites Koropecki and M.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Koropecki and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.634300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dd0de882-0af8-48d6-953c-71126dce291a · outbound

This paper cites Koropecki and F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Koropecki and F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.620176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 01940461-511e-498f-b29e-bf6311fbf93a · outbound

This paper cites Koropecki and F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Koropecki and F

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.607180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0af025b0-059a-49c1-ae81-18fe1b343271 · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.593872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fbbeb2fb-a4d7-454c-95b4-12890e2a9d81 · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.581406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2005d410-b585-46c4-acc6-2c20d683a466 · outbound

This paper cites Le Calvez and F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Le Calvez and F

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.568556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 32ad667d-e3c8-4c1d-a7d6-02f3aeb37d4c · outbound

This paper cites Le Calvez and F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Le Calvez and F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.555948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 90b338a7-e53d-4232-b2b8-6b9d8feb07c5 · outbound

This paper cites Llibre and R.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Llibre and R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.543263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6a2a51b0-ac46-4ec0-b580-c2458efe940f · outbound

This paper cites Converse kam: Theory and practice.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Converse kam: Theory and practice

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.530578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0a88dc90-336c-446f-97d3-dbb22c140999 · outbound

This paper cites Misiurewicz and K.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Misiurewicz and K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.516769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 996f4bea-d6c2-4145-8793-6876423f1025 · outbound

This paper cites Morrison and A.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Morrison and A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.501678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 734b89cb-9f4e-41ab-b323-e8d4899dfba0 · outbound

This paper cites Passeggi and F.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Passeggi and F

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.487908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 508736ac-669f-4ffe-9134-959fcbc24ec3 · outbound

This paper cites Poincar´ e.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Poincar´ e

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.472958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 800137d0-dd64-422b-8e81-9e432ffb5d6f · outbound

This paper cites Bidimensional symplectic maps.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Bidimensional symplectic maps

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:00.459302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 96bed24d-577f-4d60-880a-45e432315631 · outbound

This paper cites an unresolved cited work.

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:00.445727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 4ea80793-b00b-4be1-9a82-c638773de4f3 · inbound

Birkhoff attractors for dissipative symplectic billiards cites this paper.

Birkhoff attractors for dissipative symplectic billiards Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T16:41:43.491520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.