Paper Citation Record · LEDGER

On the Golden Ratio and Stable Self-Application

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2510.08934.

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

pith.paper-citation-record.v1
2510.08934 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:47:11.685651Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:09:13.352307Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

26 of 26 outbound references displayed

verified exact5
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 61b505f0-6e49-4519-86f7-4f13b0a6409d · outbound

This paper cites Primes is in p.

On the Golden Ratio and Stable Self-Application Primes is in p

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.630400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a217fb0c-6dab-47c9-9098-56912e9e410c · outbound

This paper cites A note on the entscheidungsproblem.

On the Golden Ratio and Stable Self-Application A note on the entscheidungsproblem

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.633044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 124b298d-998a-4058-9726-27c08676fd6b · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.635386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d234980-73fc-4879-a8c8-1acafac2b16a · outbound

This paper cites Matroids and the greedy algorithm.

On the Golden Ratio and Stable Self-Application Matroids and the greedy algorithm

Reference 4

Resolution: verified exact; doi, observed 2026-08-04T10:48:33.143773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5cc44e0a-3e4b-4f69-9a37-ea3297d520d8 · outbound

This paper cites Friedberg.

On the Golden Ratio and Stable Self-Application Friedberg

Reference 5

Resolution: verified exact; doi, observed 2026-08-04T10:48:32.929073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c066f44-0ea3-43ba-bd29-be10ba1c1b1b · outbound

This paper cites Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I.

On the Golden Ratio and Stable Self-Application Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.642623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70ac5acb-de9e-4d67-a761-15d60d780f15 · outbound

This paper cites The intractability of resolution.

On the Golden Ratio and Stable Self-Application The intractability of resolution

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.644997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 780bce4c-2e6d-4476-85e2-d91f6c5991f6 · outbound

This paper cites Dimension und äußeres maß.

On the Golden Ratio and Stable Self-Application Dimension und äußeres maß

Reference 8

Resolution: verified exact; doi, observed 2026-08-04T10:48:32.746287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cc908852-e086-4a9a-b022-cbe2289b2033 · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.649673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee9e62bc-11e0-4c5c-831d-b6793d15bfb2 · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.651943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f974192-793b-4576-935f-75286237646a · outbound

This paper cites Three approaches to the quantitative definition of information.

On the Golden Ratio and Stable Self-Application Three approaches to the quantitative definition of information

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.654080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9c96793-63c1-4325-9366-536e58c6c052 · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.656383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aeb83d62-d504-44c0-ab17-48596c2220d3 · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.658495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5080aac5-bce4-470e-8762-e16740311262 · outbound

This paper cites Sketch of the analytical engine invented by charles babbage, esq.

On the Golden Ratio and Stable Self-Application Sketch of the analytical engine invented by charles babbage, esq

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.660855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1502a984-c056-444f-980f-236baa6b0184 · outbound

This paper cites Misconceptions about the golden ratio.

On the Golden Ratio and Stable Self-Application Misconceptions about the golden ratio

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.662898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 646a5f44-7d32-405f-bdfa-000b5a36694d · outbound

This paper cites Enumerable sets are diophantine.

On the Golden Ratio and Stable Self-Application Enumerable sets are diophantine

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.665068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65ec888d-5ab0-401e-a2b6-ac6686189378 · outbound

This paper cites Hilbert's Tenth Problem.

On the Golden Ratio and Stable Self-Application Hilbert's Tenth Problem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.667004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 814a1920-ae4d-4dee-81a0-bdf1f0947b4d · outbound

This paper cites an unresolved cited work.

On the Golden Ratio and Stable Self-Application Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.668889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec23a7d1-3f14-4aa7-ba6c-174e38dd10b1 · outbound

This paper cites The decision problem for exponential diophantine equations.

On the Golden Ratio and Stable Self-Application The decision problem for exponential diophantine equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.671210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a142fee0-9a42-4a48-8be2-6de108872378 · outbound

This paper cites Solomonoff.

On the Golden Ratio and Stable Self-Application Solomonoff

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.673043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95dcb9ba-85f1-40ae-a152-ff23d2de0639 · outbound

This paper cites Solomonoff.

On the Golden Ratio and Stable Self-Application Solomonoff

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.675005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 836c5fca-f92d-416d-8245-2fd079ba088c · outbound

This paper cites What is elementary geometry? Studies in Logic and the Foundations of Mathematics, 27: 0 16--29, 1959.

On the Golden Ratio and Stable Self-Application What is elementary geometry? Studies in Logic and the Foundations of Mathematics, 27: 0 16--29, 1959

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.676790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981bb0c5-b723-4f0a-8c15-5b90934d4b54 · outbound

This paper cites On computable numbers, with an application to the entscheidungsproblem.

On the Golden Ratio and Stable Self-Application On computable numbers, with an application to the entscheidungsproblem

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.678966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a489ad3b-3c0d-43b5-a32b-8f5fcd671cc0 · outbound

This paper cites On computable numbers, with an application to the entscheidungsproblem.

On the Golden Ratio and Stable Self-Application On computable numbers, with an application to the entscheidungsproblem

Reference 24

Resolution: verified exact; doi, observed 2026-08-04T10:48:32.530372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bba0e92b-1b79-42d2-8545-b64283631cf4 · outbound

This paper cites The formalization of interpretability.

On the Golden Ratio and Stable Self-Application The formalization of interpretability

Reference 25

Resolution: verified exact; doi, observed 2026-08-04T10:48:31.197242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef9fabfc-5863-49d0-8c77-6863c5457667 · outbound

This paper cites Zeckendorf.

On the Golden Ratio and Stable Self-Application Zeckendorf

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T10:47:11.685651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7cd316fc-5229-4828-bbee-ce243cbd5c4b · inbound

An Intuitionistic Glance at Primes cites this paper.

An Intuitionistic Glance at Primes On the Golden Ratio and Stable Self-Application

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-03T23:14:17.463608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.