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Paper Citation Record · LEDGER

Discrete spectrum for amenable group actions

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.08434.

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

pith.paper-citation-record.v1
1908.08434 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:55:17.948035Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97eb5d4b-4eef-4ca8-8c7a-625480f67019 · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 1

Resolution
unresolved
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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.

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Observation 56842196-0072-4ce4-a7c6-f15c7c0d8bb6 · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-14T11:55:18.226473Z

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.

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Observation 2b737ad0-765d-46d5-9de0-b4df93f0528e · outbound

This paper cites The structure of mean equicontinuous group actions.

Discrete spectrum for amenable group actions The structure of mean equicontinuous group actions

Reference 3

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unresolved
no resolver link, observed 2026-08-14T11:55:17.874194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 48ced7a0-6e32-46ce-8511-2046faa47590 · outbound

This paper cites Systems 37 (2017), no.

Discrete spectrum for amenable group actions Systems 37 (2017), no

Reference 4

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verified fuzzy
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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.

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Observation f7854313-057c-43f0-8eab-86d4cd98e0ba · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:18.204514Z

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.

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Observation f4367eea-5d37-4375-8fe1-2f34186c0a5d · outbound

This paper cites Halmos and John von Neumann, Operator methods in classical mechanics.

Discrete spectrum for amenable group actions Halmos and John von Neumann, Operator methods in classical mechanics

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.193980Z

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.

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Observation 700a9bd1-f403-4844-b8a1-95218e4debc9 · outbound

This paper cites Bounded complexity, mean equicontinuity and discrete spectrum.

Discrete spectrum for amenable group actions Bounded complexity, mean equicontinuity and discrete spectrum

Reference 7

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T11:55:18.014218Z

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.

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Observation d329aaf0-362b-4433-9d80-7c9c80063a61 · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:18.182198Z

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.

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Observation 740f85f2-85b7-4f32-829f-00cb1c904f50 · outbound

This paper cites Katok, Lyapunov exponents, entropy and periodic orbits for diffeo morphisms, Inst.

Discrete spectrum for amenable group actions Katok, Lyapunov exponents, entropy and periodic orbits for diffeo morphisms, Inst

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.172159Z

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=pdf_text observed=2026-08-14T11:55:17.897666Z digest=sha256:64249bb5c2e2fca391a14404718aaaa9810d7411873a37f3a8a18f136c56b639

Observation 4606530c-a300-4dec-9491-7ce316e16990 · outbound

This paper cites An autocorrelation and discrete spectrum for dynamical systems on metric spaces.

Discrete spectrum for amenable group actions An autocorrelation and discrete spectrum for dynamical systems on metric spaces

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T11:55:18.000157Z

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.

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Observation 8d8102b4-8980-4794-bc75-9cda904d2712 · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:18.161488Z

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.

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Observation 70e14278-7378-479d-b7f6-7c3d453d2e3a · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:18.151292Z

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.

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Observation 8f9e13e9-021a-4998-b4db-326c8ab8814f · outbound

This paper cites 1115, Springer-V erlag, Berlin, 1985.

Discrete spectrum for amenable group actions 1115, Springer-V erlag, Berlin, 1985

Reference 13

Resolution
verified fuzzy
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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.

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Observation 0aef02f8-6144-44e5-9ddc-e97945b00ef0 · outbound

This paper cites Ornstein and Benjamin Weiss, Entropy and isomorphism theorems for actions of amenable groups, J.

Discrete spectrum for amenable group actions Ornstein and Benjamin Weiss, Entropy and isomorphism theorems for actions of amenable groups, J

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.129296Z

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.

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Observation 7257c8a5-ad78-4d50-ae2b-55973e6ac3b5 · outbound

This paper cites an unresolved cited work.

Discrete spectrum for amenable group actions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:18.117442Z

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.

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Observation 29a07905-b1df-4179-8632-cab2025a8b37 · outbound

This paper cites London Math.

Discrete spectrum for amenable group actions London Math

Reference 16

Resolution
verified fuzzy
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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=pdf_text observed=2026-08-14T11:55:17.922445Z digest=sha256:a5307ac253f197877dbf89389bc45611b866eb54394c1072b9f3c0851b0bb62b

Observation 48352903-f70e-4f82-a09a-a5d45b3a83da · outbound

This paper cites V ershik, Dynamics of metrics in measure spaces and their asymptotic i nvariants, Markov Process.

Discrete spectrum for amenable group actions V ershik, Dynamics of metrics in measure spaces and their asymptotic i nvariants, Markov Process

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.095294Z

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.

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Observation dbc8aa13-4920-4173-801c-69863df06eff · outbound

This paper cites 1, 111–135.

Discrete spectrum for amenable group actions 1, 111–135

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.081671Z

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.

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Observation 2e33e317-6f5c-498a-8189-f9b5843bf651 · outbound

This paper cites V ershik, Pavel B.

Discrete spectrum for amenable group actions V ershik, Pavel B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.070301Z

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.

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Observation 7a3e04dd-a090-4eac-8b10-26b8225cac4b · outbound

This paper cites 79, Springer- V erlag, New Y ork-Berlin, 1982.

Discrete spectrum for amenable group actions 79, Springer- V erlag, New Y ork-Berlin, 1982

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.057862Z

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=pdf_text observed=2026-08-14T11:55:17.936630Z digest=sha256:b35d9f83a82c02e8fc9ab9d0f087a01a7860fae5b741992496483e21e69c9639

Observation 3707bf1b-6d04-4e87-875b-3057eb3b5e4e · outbound

This paper cites Ward and Qing Zhang, The Abramov-Rokhlin entropy addition formula for amenable group actions, Monatsh.

Discrete spectrum for amenable group actions Ward and Qing Zhang, The Abramov-Rokhlin entropy addition formula for amenable group actions, Monatsh

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.046534Z

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=pdf_text observed=2026-08-14T11:55:17.940516Z digest=sha256:4445735df43d7aab82f7c722095573f7398f0a2ee4710643d9da969929989501

Observation fb9f5ad2-c682-4f15-8682-de51e75f4f50 · outbound

This paper cites Measure-theoretic mean equicontinuity and bounded complexity.

Discrete spectrum for amenable group actions Measure-theoretic mean equicontinuity and bounded complexity

Reference 22

Resolution
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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.

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Observation c2fd9577-faba-40c6-ac28-f29c8ccceaec · outbound

This paper cites Zimmer, Ergodic actions with generalized discrete spectrum , Illinois J.

Discrete spectrum for amenable group actions Zimmer, Ergodic actions with generalized discrete spectrum , Illinois J

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-14T11:55:18.034926Z

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.

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Pith citing papers

No inbound Pith citation observations are available.