Paper Citation Record · LEDGER

Reducing the Sarnak Conjecture to Toeplitz systems

As of 21 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:1908.07554.

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

pith.paper-citation-record.v1
1908.07554 v2

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:07.419947Z

measured 5 of 5 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

5 of 5 outbound references displayed

verified exact0
verified fuzzy4
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0338aecd-37df-4714-8b77-d44ac1e1f7ff · outbound

This paper cites The entropy theory of symbolic extensions.

Reducing the Sarnak Conjecture to Toeplitz systems The entropy theory of symbolic extensions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:07.512571Z

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 8ff15c51-2466-40d1-a9e0-a70236749c1a · outbound

This paper cites Algebraic and topological dynamics, 7–37, Contemp.

Reducing the Sarnak Conjecture to Toeplitz systems Algebraic and topological dynamics, 7–37, Contemp

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:07.498879Z

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 18e9b304-a0fb-409f-822b-72ed944e0b48 · outbound

This paper cites an unresolved cited work.

Reducing the Sarnak Conjecture to Toeplitz systems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:33:07.485623Z

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 640712ec-9f7d-4106-b3e3-ae4dc32af4de · outbound

This paper cites Dynamical systems disjoint from any minimal system.

Reducing the Sarnak Conjecture to Toeplitz systems Dynamical systems disjoint from any minimal system

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:07.473247Z

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 70e0f986-0cac-487e-b760-859876279cbf · outbound

This paper cites Three lectures on the M ¨obius function, randomness and dynamics.

Reducing the Sarnak Conjecture to Toeplitz systems Three lectures on the M ¨obius function, randomness and dynamics

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:33:07.460257Z

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.