Paper Citation Record · LEDGER

A Fibonacci theorem for Collatz trajectories via modular graph structure

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2606.02621.

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

pith.paper-citation-record.v1
2606.02621 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:44:03.391340Z

measured 11 of 11 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

11 of 11 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c2d29b9-b06d-41df-aed9-de52618d66ba · outbound

This paper cites 2015 , eprint =.

A Fibonacci theorem for Collatz trajectories via modular graph structure 2015 , eprint =

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd3c394f-9280-4a4d-80a5-ab896fd0fbce · outbound

This paper cites and Lagarias, Jeffrey C.

A Fibonacci theorem for Collatz trajectories via modular graph structure and Lagarias, Jeffrey C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84eebec8-bd87-4da6-956f-e40c15a7cc6d · outbound

This paper cites On the existence of cycles of given length in integer sequences like.

A Fibonacci theorem for Collatz trajectories via modular graph structure On the existence of cycles of given length in integer sequences like

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a891b6ee-22d8-46ef-aa10-13da7cce5325 · outbound

This paper cites , title =.

A Fibonacci theorem for Collatz trajectories via modular graph structure , title =

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bca0c96-3f28-4b09-a80e-c75124db177c · outbound

This paper cites 2026 , eprint =.

A Fibonacci theorem for Collatz trajectories via modular graph structure 2026 , eprint =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d441d954-9a32-4290-9098-a740c6f62391 · outbound

This paper cites , title =.

A Fibonacci theorem for Collatz trajectories via modular graph structure , title =

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ff3a01b-4b71-474a-bc70-912a50eda431 · outbound

This paper cites , title =.

A Fibonacci theorem for Collatz trajectories via modular graph structure , title =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f201377-4508-4edf-aca6-1850442765d7 · outbound

This paper cites , title =.

A Fibonacci theorem for Collatz trajectories via modular graph structure , title =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36473149-e9e0-4339-8ded-8b71f8b6394d · outbound

This paper cites Forum Math.

A Fibonacci theorem for Collatz trajectories via modular graph structure Forum Math

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56ad27ac-1026-49ba-9e7b-715f0be6bc56 · outbound

This paper cites Acta Arith.

A Fibonacci theorem for Collatz trajectories via modular graph structure Acta Arith

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46df1f9a-342e-4f45-b25a-2ec748583505 · outbound

This paper cites The Dynamical System Generated by the.

A Fibonacci theorem for Collatz trajectories via modular graph structure The Dynamical System Generated by the

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T05:44:03.391340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.