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Paper Citation Record · LEDGER

On the Collatz Conjecture: Topological and Ergodic Approach

As of 15 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2601.03297.

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

pith.paper-citation-record.v1
2601.03297 v6

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T12:41:24.107671Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b9a87b4-fde1-4d2b-995f-d2d4ec70c50f · outbound

This paper cites an unresolved cited work.

On the Collatz Conjecture: Topological and Ergodic Approach Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.068477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.068477Z digest=sha256:d4c9ace3c19c1d9c227442f07c4ab2ca60b38bcdc5cc4ff8837b1eee0f748281

Observation ded61694-499b-4586-a225-ea54fb64ab93 · outbound

This paper cites Einsiedler and T.

On the Collatz Conjecture: Topological and Ergodic Approach Einsiedler and T

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.170093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.170093Z digest=sha256:5a1d0eef979a4be0da310af06441c6175c88d0ffca267ae3b55816fa3e824864

Observation 63b6bcf1-e080-4aec-b574-92b7d9086ca7 · outbound

This paper cites Krasikov and J.

On the Collatz Conjecture: Topological and Ergodic Approach Krasikov and J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.342111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.342111Z digest=sha256:871c96e469946c6d6dbd221029f32b08645bb2add70cd02c15260cc2df27b7ac

Observation 11b2c250-38d3-4990-b27a-02da2c48fd49 · outbound

This paper cites an unresolved cited work.

On the Collatz Conjecture: Topological and Ergodic Approach Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.437074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.437074Z digest=sha256:3860fff3a330d4831a7f1c206862a17e59d5245ffa4a3421a2edf5363c5b4155

Observation b59e855e-5fa5-4e6e-8934-544fea9cd9fb · outbound

This paper cites an unresolved cited work.

On the Collatz Conjecture: Topological and Ergodic Approach Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.569576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.569576Z digest=sha256:4826ebd7708674c815035f2f2c2f6363edfb9029b56564e2683835cff9f7b99d

Observation 63c19bac-be3e-4727-ae38-79968e25ee56 · outbound

This paper cites Oliveira and M.

On the Collatz Conjecture: Topological and Ergodic Approach Oliveira and M

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.720764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.720764Z digest=sha256:8bffc079661968516ad6d9bf854c0996a91350430463ca224d66ca2c6b42e1ad

Observation ffcae120-35be-441d-99bd-dd943b61d48f · outbound

This paper cites an unresolved cited work.

On the Collatz Conjecture: Topological and Ergodic Approach Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.885300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.885300Z digest=sha256:03495d8310def6aea22a0f5cb8e797559573fc8c7d7556249433452051347270

Observation d2008a7a-9fd8-4a28-a89b-33efe4785a67 · outbound

This paper cites Walters.An Introduction to Ergodic Theory.

On the Collatz Conjecture: Topological and Ergodic Approach Walters.An Introduction to Ergodic Theory

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:23.967672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:23.967672Z digest=sha256:6b9d3397bad2555c9d56b721122ef5fb35fb4c6aef8fd8f506c08254b9a9c83b

Observation e8d62427-0149-4222-8710-b21cd6b26dcb · outbound

This paper cites an unresolved cited work.

On the Collatz Conjecture: Topological and Ergodic Approach Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:24.107671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:24.107671Z digest=sha256:0f5a60f28dd7f925f4e57d77dec76b461359fde07377628bcdb5b9a81cba7e21

Pith citing papers

No inbound Pith citation observations are available.