Pith. sign in

Paper Citation Record · LEDGER

Unique Ergodicity For Infinite Area Translation Surfaces

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.04019.

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

pith.paper-citation-record.v1
1908.04019 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:12.702506Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5633c154-83ac-4229-971d-6ff0d7064234 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.214651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.563177Z digest=sha256:75e785bfe3710fb5cae6414d7f329f6f127b83a0650799b19fc2559a2d166fa9

Observation ab7a4b50-2e75-4914-82a8-6f21e3358bcd · outbound

This paper cites S\'eminaire Bourbaki, Vol.\ 1987/88.

Unique Ergodicity For Infinite Area Translation Surfaces S\'eminaire Bourbaki, Vol.\ 1987/88

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.195571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.568458Z digest=sha256:8e09c7ae867968727e051901fd6d347b1d5e67fbd753426595c7c616400f48df

Observation ea95e9a5-88c5-458f-b9a2-4a2e6d43fec3 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.179621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.573117Z digest=sha256:f9dac0b30264d37b5e37122b19a58406e229727cbe5b71c68381bfb3bb167954

Observation 060f554c-297b-49ef-b010-7dc918f93548 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.161649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.577229Z digest=sha256:bb0ed982c92c915f2deb9668dad7728874bc60f932f218fb8533bfb5eabb4531

Observation d5bb6ce2-883c-4c58-a65a-c38583e6c7b1 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.145900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.582012Z digest=sha256:c7edead01534e0d3599ab7025bd0a43977fa4f8a3e3cec9656a5cb02071afbf1

Observation e1fa0c17-359b-4910-9560-31f432cba72c · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.125628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.586527Z digest=sha256:e106ab4d5aec433a01007a6ada812ffc3c62a858104082e45ab2c72e686ed758

Observation 3d861e8e-cb6a-4f74-ae9e-3d527a8cc48f · outbound

This paper cites 3, 463--473.

Unique Ergodicity For Infinite Area Translation Surfaces 3, 463--473

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.108606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.591204Z digest=sha256:90938a97d1f954c1bff86d43f06b654b53a35472ddded1e30d7892c7da76e10f

Observation b3ab1834-11b5-4e2a-9c11-6e47f38528e0 · outbound

This paper cites Math.\ France, Paris, 2010.

Unique Ergodicity For Infinite Area Translation Surfaces Math.\ France, Paris, 2010

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.093211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.595613Z digest=sha256:0e73681010fc6028bdb8e8d5362762904d8a8ab1c485ccf7c6eda90a7297dfaf

Observation f51fdf72-d269-48d7-8b10-701dbc631c0a · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.078078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.600582Z digest=sha256:7a325e5ac10cecbae2d031c2e58d7108f98e07b59bec12c56ab6cfc1c169a08a

Observation 4f30ed63-5844-4f18-a35e-cd67c5644236 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:13.060591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.604843Z digest=sha256:f8dab68a71495a0c460a7e9b440dfce86cf579f6cfacc6f38dbcdc092122e936

Observation 37f565ea-6ba7-46fc-bd7a-f24925328f67 · outbound

This paper cites 656 (2011) 223--244.

Unique Ergodicity For Infinite Area Translation Surfaces 656 (2011) 223--244

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.044335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.614617Z digest=sha256:3a98fcebb578c4c798ee31b85ec83e81672238d63ad6f34c918b82e6f0ddf63d

Observation cc1e0e82-a2ff-47a5-878a-9159fd2b218c · outbound

This paper cites 149 (2013) 1364--1380.

Unique Ergodicity For Infinite Area Translation Surfaces 149 (2013) 1364--1380

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.028094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.619800Z digest=sha256:0dba103dffa77278adee09af9304fee0dc72ea42839df54cbd88ccb7ea91a529

Observation 29a1cb57-fd22-4e75-8b80-dbbefaada0ad · outbound

This paper cites 1, 151--160.

Unique Ergodicity For Infinite Area Translation Surfaces 1, 151--160

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:13.010704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.624929Z digest=sha256:9f2e6f1134387f149450c67f7af24532ee1d2bbdffcd539b1bc57ace579ae39b

Observation 96342791-c05e-490a-a879-c95da76dbcb6 · outbound

This paper cites 2, 293--311.

Unique Ergodicity For Infinite Area Translation Surfaces 2, 293--311

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.987895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.629314Z digest=sha256:5d8df6317cf8324eb3e5b6d64894d04bb6fabcb8bc41448fc239d37e3112336f

Observation 26f015a5-9d9d-4987-bb79-05d34d86a76c · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.966493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.636014Z digest=sha256:c6e8907e7750783b5989a60b64fc881339f4f0567bdcabd232bcad3a36eca119

Observation 62a9a97c-e139-42df-a598-4b3c55d08ca6 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.944733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.642206Z digest=sha256:ac3bcaeba9a8498a1f855d633f1028e5126c32337a01080a0a901f0781da1d9b

Observation b4741c23-20d5-4c1c-98e8-f541c1c2b8b0 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.923099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.651220Z digest=sha256:78385ed4c76df7aed7d9cecb0026577669d0bce9c67b07ff62ba17f88b9d9987

Observation 554b78dc-56c7-48a7-bb84-9617cb3ae6bb · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.905350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.656493Z digest=sha256:97915c07cabdd87565d23fd79f2607df775a7dae8ea083096d5fae8f39b7a88b

Observation 05a1c66e-7e8c-44d3-a85b-7c0193827cc5 · outbound

This paper cites Masur and S.

Unique Ergodicity For Infinite Area Translation Surfaces Masur and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.889378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.662374Z digest=sha256:79137ebb19227e7484efc240e5da27da7bea70e2194c4abb1c62bd55b09c3057

Observation ff9d2ef4-8abc-420a-b59a-2282a4221144 · outbound

This paper cites pp.955-1015, 2010, Oberwolfach Report.

Unique Ergodicity For Infinite Area Translation Surfaces pp.955-1015, 2010, Oberwolfach Report

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.865662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.668306Z digest=sha256:820724994e86bab9e8cbbf62111a12cb80dba91c4f79aa35e2f56ef6f949c48c

Observation 354f20fe-2203-42f7-8c09-25433052d129 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.845572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.678528Z digest=sha256:dc9b6cbfafc5baeb260f6fd1ecddc04253fa9bf70fea91d7bdb7e28a80eec473

Observation 482e6bb5-a9d5-4b01-8acd-f2d20d6112b5 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.827508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.682414Z digest=sha256:35b3ff20e11fabd7ce851fe2f5e56fbd7cb1f656f53d313b2ee0c14005a45586

Observation aae5c7cb-c36a-44c3-bb0c-01576d09b53c · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.811329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.686113Z digest=sha256:78db2680e53e657df7d7fb485565df47d424b2a9ad96ff89c9ac553f50acdc39

Observation 56afe911-b2eb-4554-934e-1a0726f1dbba · outbound

This paper cites 188--198 in ``Ergodic theory proceedings Oberwolfach'' Lecture Notes in Mathematics 729, Springer Verlag, Berlin-New York 1979.

Unique Ergodicity For Infinite Area Translation Surfaces 188--198 in ``Ergodic theory proceedings Oberwolfach'' Lecture Notes in Mathematics 729, Springer Verlag, Berlin-New York 1979

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.797010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.689893Z digest=sha256:e1b4f5f14f1f4d97d49373e6e069070129d77be9f6740d4b11a9a8b157da80d4

Observation 87688131-b6b5-4071-9772-0a9f69905d89 · outbound

This paper cites an unresolved cited work.

Unique Ergodicity For Infinite Area Translation Surfaces Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:12.782740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.693869Z digest=sha256:437d9aa10bba4a3cfb2db7bbe00749151f984fc97d95743c75a9a6d405b5cc22

Observation e04e2b83-a18c-47dd-aebc-a6c691c707bb · outbound

This paper cites D'Analyse Math., 55, (1990) 117--171.

Unique Ergodicity For Infinite Area Translation Surfaces D'Analyse Math., 55, (1990) 117--171

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.765481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.698094Z digest=sha256:01ebb573b11458a597b417c9e01eb0880dd4f3d45e155d1ac21f4617025e0e0b

Observation 7346ea08-03bc-4208-9258-39af0cc9427e · outbound

This paper cites Eisenstein series and an application to triangular billiards.

Unique Ergodicity For Infinite Area Translation Surfaces Eisenstein series and an application to triangular billiards

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:12.749250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:10:12.702506Z digest=sha256:47ee6835a1d2930114c4a19822ce93671417b821ac54316adfdcb4241875e91e

Pith citing papers

No inbound Pith citation observations are available.