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Paper Citation Record · LEDGER

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question

As of 15 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.11549.

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

pith.paper-citation-record.v1
2607.11549 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:49:58.634141Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact9
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation beafbfdd-15b1-44b1-875e-9e2628a36f48 · outbound

This paper cites Rigidity of sets of independent functions in symmetric spaces.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Rigidity of sets of independent functions in symmetric spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:d9f0eeb99194bfa7a3f1e6a33452ff815f8e0d07f5c97a4e4752ebac68a6135a

Observation 971e2081-08b1-463c-91c2-617fe98336b0 · outbound

This paper cites Burguet and R.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Burguet and R

Reference 2

Resolution
verified exact
doi, observed 2026-07-14T04:50:15.053864Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:8baf6f1b447478729dca03651ad666ccd00ca78dcdaffbddd2276dd372cd9ae8

Observation 364f2656-92d4-47bc-bf20-e377c05d3076 · outbound

This paper cites Einsiedler and T.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Einsiedler and T

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:2be7da8765d3d0dc71e5ad680d782c7826d379fbc6f2ad6782dccfa6170932d9

Observation f8972bce-e7aa-4d11-b917-1654f8a9d802 · outbound

This paper cites Iwanik,Positive entropy implies infiniteL p-multiplicity forp >1, inErgodic Theory and Related Topics III(G¨ ustrow, 1990), Lecture Notes in Math., vol.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Iwanik,Positive entropy implies infiniteL p-multiplicity forp >1, inErgodic Theory and Related Topics III(G¨ ustrow, 1990), Lecture Notes in Math., vol

Reference 4

Resolution
verified exact
doi, observed 2026-07-14T04:50:15.048671Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:877842332c69858a68a24efa17b1a2b6e77eb72d2bf1afb91dcb35314abffed3

Observation 7789a02e-e38b-43fa-bc70-e3e1a0ce3f35 · outbound

This paper cites Iwanik,The problem ofL p-simple spectrum for ergodic group automorphisms, Bull.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Iwanik,The problem ofL p-simple spectrum for ergodic group automorphisms, Bull

Reference 5

Resolution
verified exact
doi, observed 2026-07-14T04:50:15.058501Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:d87d10738b6a5a15e2e53d2b659f18e7481eb7ce7820f2750f23a2dcbbb6e46b

Observation 7f68dfd5-f5dc-4a52-a7ef-5573dc50dc69 · outbound

This paper cites Spectral theory of dynamical systems.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Spectral theory of dynamical systems

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:173226683eb7c366811f199ecb69924688f1cbd36c2dfeed4889e89b0a4ebb9e

Observation 0af57e4e-0a81-4825-bfa2-3780be65455c · outbound

This paper cites Kerr and H.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Kerr and H

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:c438f4dc5884cdaa8808f557e10d50cb0d9acad91620dc26fd9ac05fa5de3aca

Observation a142d464-7da1-47ad-862e-9edf91692a95 · outbound

This paper cites Widths and rigidity.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Widths and rigidity

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.089965Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:d908f68ce5d9684079af5fbf829319495ac380d75e64af6dc04b6f125da91ad6

Observation cce24b93-b1c8-4709-acf1-ee176bf7bb81 · outbound

This paper cites Widths and rigidity of unconditional sets and random vectors.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Widths and rigidity of unconditional sets and random vectors

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.084322Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:1859359c3937adcb8f664ddb12c38600e5c2007cc99cda545a9b79f5a41ce0f7

Observation ce79e535-0bf0-470b-a151-14d901ee58cc · outbound

This paper cites an unresolved cited work.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:14044e89e14081e9e8dbfc260f1e7728a2940943e430eb38602266ddbe1ee51d

Observation ff7554d3-94db-4ee3-9943-17870e7caf47 · outbound

This paper cites Krieger's finite generator theorem for actions of countable groups I.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Krieger's finite generator theorem for actions of countable groups I

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.065044Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:6b2fb1966fcb2ef93ad2ddf2591bd99a44871922f8726f47c57fca9073ad993e

Observation 80dbc406-eb66-4a2a-8346-c3732cba999e · outbound

This paper cites Positive entropy actions of countable groups factor onto Bernoulli shifts.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Positive entropy actions of countable groups factor onto Bernoulli shifts

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.095974Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:44cb80599ca12cf395926ceefa47530d25e38a200cca3506579066a32ad290a9

Observation 634af85b-4fc5-45a0-b1c0-41b3d37645d1 · outbound

This paper cites Borel structurability on the 2-shift of a countable group.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Borel structurability on the 2-shift of a countable group

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.071454Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:8dddedd32f4bbb0878c62c739cc23ac12408efc2e494a5a73f484b4017876f5f

Observation f3436c24-74c4-4ea0-a6b7-b21c0e79610f · outbound

This paper cites Spectral properties of horocycle flows for surfaces of constant negative curvature.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Spectral properties of horocycle flows for surfaces of constant negative curvature

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-14T04:50:15.077983Z

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=pdf_text observed=2026-07-14T04:49:58.634141Z digest=sha256:1d6e2330028719955cbbda392348b77e6015f796a1992def1f496ab5ea1f26d7

Pith citing papers

No inbound Pith citation observations are available.