Pith. sign in

Paper Citation Record · LEDGER

Existence and Nonexistence of Invariant Curves of Coin Billiards

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2411.13214.

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

pith.paper-citation-record.v1
2411.13214 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:56:25.733802Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 191c2b2f-7109-44ef-96b1-3d7ff13984b0 · outbound

This paper cites Angenent.

Existence and Nonexistence of Invariant Curves of Coin Billiards Angenent

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:26.056690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.657952Z digest=sha256:9db47186bb997a991303dd17b517fca6ac1f76de306eeb2efd79b960ff6e2ab0

Observation 0c4c8d81-b202-4fd9-8560-ab38a9f04d8f · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:26.046531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.662226Z digest=sha256:f8c6326b90378ac8079f003b379611bac1768a6d4cb6aa3f2ecb11677838b202

Observation ce8ae460-26d3-4f97-98eb-5b22a73bbf4d · outbound

This paper cites Arnold and A.

Existence and Nonexistence of Invariant Curves of Coin Billiards Arnold and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:26.036243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.666285Z digest=sha256:70f497734f0ca1e84b4940e2edd6296b98cd32a0f1f548d0997a31bdf9301f21

Observation acf8fe51-9d76-45a3-bc14-5e1d03f6789c · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:26.025791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.670052Z digest=sha256:b51adc67850ab57de34974b3734fb8f7aa059d6119eb519d4e558b5805e5a439

Observation ede4f7da-966a-4470-bfe4-35e1196c9aab · outbound

This paper cites Bialy, C.

Existence and Nonexistence of Invariant Curves of Coin Billiards Bialy, C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:26.015645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.674141Z digest=sha256:9070030494690feaa9f7899d93b6b897f6ae7f437a07f1ccd735b14e5e8f9876

Observation b3548fd9-48cf-4d65-bfdc-c681df6feed6 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:26.004781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.678014Z digest=sha256:7cd67386fef09203ad5ad524769e303997d726ca2772fa8c044664d323b75e32

Observation 38ff3150-c68b-465e-a4eb-61b9a0174efd · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.993678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.682218Z digest=sha256:3ddecbc054e3bfd1f15a86d13b54396a83ec95575676821954aa0c5ca5acb17d

Observation 15c23423-8d8c-4ac0-afcc-a6d9a46098d3 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-12T16:56:25.842926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.685576Z digest=sha256:300c81c781b3524224c7ba9189ea4caca6ab1757e3b7c72c6d4c54c5836ce0ae

Observation ffb7254d-9bbf-4db5-8a32-54af0df57c57 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.983297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.689227Z digest=sha256:5b25e7eebd18e08b3af77b697a6445bbf899d89fe17a3c39e38131c63876efca

Observation 21970072-1782-4b4f-aa21-1138979e6395 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.972912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.692958Z digest=sha256:7211b688ba1115f4571734e044ca36f30855591f2eb0946f776238a44d7eb9c4

Observation 2ade7810-00cc-4776-b008-8d5e922b768e · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.963188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.696454Z digest=sha256:723aa171e9b05ea39912f86c22ccd1104926b6c8ed52f9ce4a3e5369953cb0f3

Observation d83891da-7520-4c02-a960-a400b5628b50 · outbound

This paper cites Khesin and H.

Existence and Nonexistence of Invariant Curves of Coin Billiards Khesin and H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:25.952315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.699856Z digest=sha256:97caf085f24856fe47d46fd50bcd70070fd6ffdc64f71448c30052c09c15e53f

Observation 03a59604-07ca-4d27-9374-7c7cac479a11 · outbound

This paper cites Lazutkin.

Existence and Nonexistence of Invariant Curves of Coin Billiards Lazutkin

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:25.941428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.703664Z digest=sha256:bec1e12d1655b493bf6e56c6c38e52bdf3d9675c0bd360ff503290d945d2e8cf

Observation 93675e26-d003-4235-8c86-04ab6e938f5c · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.930871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.707533Z digest=sha256:b5151073fd781101e948f13caa3d88b99e8a6b566f67ca7f166043330e3a6f5b

Observation 5d9ed9da-f98d-42d5-bb95-6711e1e5516e · outbound

This paper cites Le Calvez.

Existence and Nonexistence of Invariant Curves of Coin Billiards Le Calvez

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:25.920252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.711078Z digest=sha256:092330f2c057286ff3466876851bad14bd3e554e1ac25b9060f3b2d37899c939

Observation 8288c2cb-14c7-4be3-90e0-fd9049fe6a9e · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.910383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.714876Z digest=sha256:fda0f2c6b27cf3a1e685d7778b15099556c431e293e2a9ac7a00f5d24901446b

Observation d0452c00-57dd-45a9-b270-07d288040c75 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.899799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.718729Z digest=sha256:4f63d031b1d48297130754fc5ba9810cebba872a693e29695684413a3e4ce12b

Observation e1607cc5-7489-4abd-bbf1-1438a3ad87fb · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.889011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.722252Z digest=sha256:86c37559edec300c15ad54852d3e20820784dcc1e59edd8415dbc5160149b7a0

Observation ed8dfa36-cdde-4a5b-a03b-3fafcea60ed0 · outbound

This paper cites Ram ´ ırez-Ros.

Existence and Nonexistence of Invariant Curves of Coin Billiards Ram ´ ırez-Ros

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:56:25.878799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.725860Z digest=sha256:ece0233849d6ea6f43343ffc5c0efece05ae200954faf8e8bec4abf21ab75fad

Observation eaba11c3-fc12-4c09-9c12-45967e1d6f98 · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.867092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.729517Z digest=sha256:f54a5f6b0f695c8d13f9b5c513040d4ad6d991b9b372214aec79946501a8ede5

Observation 1a74a01a-dde2-4264-8ca5-5baf6f2fd59c · outbound

This paper cites an unresolved cited work.

Existence and Nonexistence of Invariant Curves of Coin Billiards Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:56:25.855928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:56:25.733802Z digest=sha256:478b0cf45132821a7a47541ce3677c8c39407b10ec98f2cdfc9bae2e2e232098

Pith citing papers

No inbound Pith citation observations are available.