Paper Citation Record · LEDGER

Twisted Translation Flows and Effective Weak Mixing

As of 21 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.11040.

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

pith.paper-citation-record.v1
1908.11040 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:33:42.255752Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

43 of 43 outbound references displayed

verified exact3
verified fuzzy26
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02343494-e522-43a8-bd54-60a276802e1c · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.813313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 119d9fc3-0121-4231-8f69-0c42c4a1f01e · outbound

This paper cites Athreya and G.

Twisted Translation Flows and Effective Weak Mixing Athreya and G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.802731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75c3247f-1672-47cb-b031-3d1a66f02791 · outbound

This paper cites Avila and V.

Twisted Translation Flows and Effective Weak Mixing Avila and V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.792230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ededf45f-9a5b-4075-bbb9-9f50b79c678f · outbound

This paper cites Avila and G.

Twisted Translation Flows and Effective Weak Mixing Avila and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.781830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05617286-0326-4ba5-9514-90c0a74414f3 · outbound

This paper cites Avila and M.

Twisted Translation Flows and Effective Weak Mixing Avila and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.771163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d4a4d9c-0c5d-4623-b44e-dc4613e8399d · outbound

This paper cites Avila and M.

Twisted Translation Flows and Effective Weak Mixing Avila and M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.759812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 26af5d5f-92df-405e-a356-36d01065f019 · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.749426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02136845-f11b-4c6a-b1dc-233a2f54b61f · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.739016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0b190ffa-6bab-42a2-82e0-650d02d58d64 · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.728242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8af2f967-b1b3-4d93-8867-30ff6466f051 · outbound

This paper cites A spectral cocycle for substitution systems and translation flows.

Twisted Translation Flows and Effective Weak Mixing A spectral cocycle for substitution systems and translation flows

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:41.754366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 787b4e2f-e4e6-4841-9c5a-5ceea6840fd3 · outbound

This paper cites H\"older regularity for the spectrum of translation flows.

Twisted Translation Flows and Effective Weak Mixing H\"older regularity for the spectrum of translation flows

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:42.379883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d2147ad1-56bf-42c1-b956-df960a40e12b · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.717425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af66e950-8656-46d6-9734-f26fb374f742 · outbound

This paper cites Filip, Zero Lyapunov exponents and monodromy of the Kontsevich--Zorich cocycle, Duke Math.

Twisted Translation Flows and Effective Weak Mixing Filip, Zero Lyapunov exponents and monodromy of the Kontsevich--Zorich cocycle, Duke Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.707429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62dec109-d824-47f7-b46a-77edb0af7a89 · outbound

This paper cites Flaminio and G.

Twisted Translation Flows and Effective Weak Mixing Flaminio and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.696808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 34bf3621-5299-4040-91ba-298f0b33a266 · outbound

This paper cites On effective equidistribution for higher step nilflows.

Twisted Translation Flows and Effective Weak Mixing On effective equidistribution for higher step nilflows

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T10:33:41.772482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7754fb15-b8b0-4c87-8c03-e42ea226178d · outbound

This paper cites Flaminio, G.

Twisted Translation Flows and Effective Weak Mixing Flaminio, G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.687085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b17099d7-b7ea-47da-a6eb-90bb5f32ffe4 · outbound

This paper cites Forni, Solutions of the Cohomological Equation for Area-Preserving Flows on Compact Surfaces of Higher Genus, Ann.

Twisted Translation Flows and Effective Weak Mixing Forni, Solutions of the Cohomological Equation for Area-Preserving Flows on Compact Surfaces of Higher Genus, Ann

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.677584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7638b714-258b-440a-a27f-35c418c010f6 · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.666663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7ba76d0-f205-4063-9afe-746950e37920 · outbound

This paper cites Sobolev regularity of solutions of the cohomological equation.

Twisted Translation Flows and Effective Weak Mixing Sobolev regularity of solutions of the cohomological equation

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:33:42.352202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28bf60ee-3ae2-4372-b4e2-e6508409525c · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.654354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0fc03a3c-4df9-4049-bd56-444107dc0732 · outbound

This paper cites Forni and W.

Twisted Translation Flows and Effective Weak Mixing Forni and W

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.643158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ce875cac-ee97-4fdb-965e-3966e6eb308e · outbound

This paper cites Goldman, The symplectic nature of fundamental groups of surfaces, Advances in Mathematics 54 (2) (1984), 200--225.

Twisted Translation Flows and Effective Weak Mixing Goldman, The symplectic nature of fundamental groups of surfaces, Advances in Mathematics 54 (2) (1984), 200--225

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.631295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2383be29-c817-4b62-b25e-bd2ca7e54f3b · outbound

This paper cites Goldman and E.

Twisted Translation Flows and Effective Weak Mixing Goldman and E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.619599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 39f9ddd9-8486-4cb2-9b40-0653bc016a68 · outbound

This paper cites Green and T.

Twisted Translation Flows and Effective Weak Mixing Green and T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.608640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3226a8c-381f-46ac-b75e-06eedf4e296c · outbound

This paper cites Gutkin and A.

Twisted Translation Flows and Effective Weak Mixing Gutkin and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.596962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2624c1cd-de1e-45e1-bc32-b4716ee948ac · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.587327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e64962e8-397b-4aa5-a77b-47744f12e484 · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.576964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 756ff518-c63b-4103-a7f6-215ffeece03c · outbound

This paper cites Kerckhoff, H.

Twisted Translation Flows and Effective Weak Mixing Kerckhoff, H

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.564658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e483e912-a58f-4e91-8bce-58ce53fa55be · outbound

This paper cites Knill, Singular Continuous Spectrum and Quantitative Rate of Mixing, Disc.

Twisted Translation Flows and Effective Weak Mixing Knill, Singular Continuous Spectrum and Quantitative Rate of Mixing, Disc

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.553308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2e34b65-b612-48fc-b309-1befa60ee70c · outbound

This paper cites Kontsevich, Lyapunov exponents and Hodge theory, in The Mathematical Beauty of Physics (Saclay, 1996), Adv.

Twisted Translation Flows and Effective Weak Mixing Kontsevich, Lyapunov exponents and Hodge theory, in The Mathematical Beauty of Physics (Saclay, 1996), Adv

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.542399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0c3cd949-b2d4-42e8-a1e0-e566a95fe39a · outbound

This paper cites Lucien, M\'elange faible topologique des flots sur les surfaces, Ergodic Theory Dynam.

Twisted Translation Flows and Effective Weak Mixing Lucien, M\'elange faible topologique des flots sur les surfaces, Ergodic Theory Dynam

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.531253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fc68ff38-7aa7-4601-a8d7-2f63f09da4e2 · outbound

This paper cites Masur, Interval exchange transformations and measured foliations, Ann.

Twisted Translation Flows and Effective Weak Mixing Masur, Interval exchange transformations and measured foliations, Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.520436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3d0a7fb8-f472-493e-b80c-955ab0a431a6 · outbound

This paper cites Masur and J.

Twisted Translation Flows and Effective Weak Mixing Masur and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.509097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation df665683-6c00-4dd9-99b0-688d6d2abbfa · outbound

This paper cites Nelson, Analytic Vectors, Ann.

Twisted Translation Flows and Effective Weak Mixing Nelson, Analytic Vectors, Ann

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.497812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 297dc838-31f6-4515-9b26-1a84513a8ca2 · outbound

This paper cites Nogueira and D.

Twisted Translation Flows and Effective Weak Mixing Nogueira and D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.486826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2aeb71db-67d3-463b-8a90-23c7946116bd · outbound

This paper cites Petersen, Ergodic Theory , Cambridge Univ.

Twisted Translation Flows and Effective Weak Mixing Petersen, Ergodic Theory , Cambridge Univ

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.475052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5e92b153-9222-4cf8-8744-c5f9a77dee5e · outbound

This paper cites Tanis & P.

Twisted Translation Flows and Effective Weak Mixing Tanis & P

Reference 37

Resolution: verified exact; doi, observed 2026-08-14T10:33:42.333670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cc72df10-f820-46a6-a575-63fbdb36005a · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.463296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 37c85d92-d745-40d1-9051-fbff914cb08e · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.452388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e3b863c-1901-4b31-93c6-c669504cab0d · outbound

This paper cites Venkatesh.

Twisted Translation Flows and Effective Weak Mixing Venkatesh

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.441604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7083ca11-d071-426a-af8c-b10fb8eef47a · outbound

This paper cites an unresolved cited work.

Twisted Translation Flows and Effective Weak Mixing Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:33:42.429279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6acc8716-6645-4dd3-ba80-8d4c46b12309 · outbound

This paper cites Wright, Cylinder deformations in orbit closures of translation surfaces, Geom.

Twisted Translation Flows and Effective Weak Mixing Wright, Cylinder deformations in orbit closures of translation surfaces, Geom

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.416327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e3765fb-e43d-4820-94a3-8c6fe7c2ba65 · outbound

This paper cites Zorich, Deviation for interval exchange transformations, Ergodic Theory Dynam.

Twisted Translation Flows and Effective Weak Mixing Zorich, Deviation for interval exchange transformations, Ergodic Theory Dynam

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:33:42.403730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.