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Paper Citation Record · LEDGER

On the Collatz Conjecture: Topological and Ergodic Approach

As of 11 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 2026-08-11T06:34:44.6726+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=sha256:27ada0d470280e43b6b0c5d8e9a9bb74572a8f8ac0eedea0b036aabd733e4f8c

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=sha256:8ac68ca900bfd57f4d82f208036f7a40fb991138fa4aad0bb1cacb8c8acdcdae

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:c3a73716993861c03dc4e4f12495fa7a158d2cc682431656e30b329c7ed4e195

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=sha256:2f19e8f555dac6464d3a939e027faaccb369b0cba012295637c6931e70834929

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:b89f595070216dc34ddffb9e7c1d297600e1f7d16b6bab93db65e67be51c972c

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=sha256:2b04ce40176018c961146aef6d999c761925066e2d70933cb341540c55467325

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=sha256:95001deea5c3aa200cc2435131c0d6b8083ac3b7fbf3ee0cdb40d834e617a960

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:efb576b2e159cee634665768ac05355b6bf5b6411d543d68d4dc3b92f8d90781

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=sha256:82f79d6082a62d8d8c810a9f425f2fd0962fa402a02c8c2066965ba1697eb988

Pith citing papers

No inbound Pith citation observations are available.