Paper Citation Record · LEDGER

On the sum of a prime and two Fibonacci numbers

As of 7 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2506.03631.

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

pith.paper-citation-record.v1
2506.03631 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:15:09.968491Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T05:19:44.076917Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T14:44:45.827022Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy14
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6788d0ee-eac7-4c7b-9f5f-319e7b4d83e1 · outbound

This paper cites Apostol, Introduction to analytic number theory, Springer- Verlag, 1976.

On the sum of a prime and two Fibonacci numbers Apostol, Introduction to analytic number theory, Springer- Verlag, 1976

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:13.227528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2db1d0e-c740-42d6-86f4-94a80dcc2152 · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:13.063544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74fb3ae2-0569-47da-8e71-1121bf485f9c · outbound

This paper cites Chen and Y.

On the sum of a prime and two Fibonacci numbers Chen and Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:12.871299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1566869d-a891-45b6-8e92-c6416395cdd1 · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:12.718311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d4d20acf-c7be-441c-819f-9a630afe172d · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:12.601510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ab32001-c706-4c4c-a320-5016c344c0e3 · outbound

This paper cites Crocker,On the sum of a prime and two powers of two, Pacific J.

On the sum of a prime and two Fibonacci numbers Crocker,On the sum of a prime and two powers of two, Pacific J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:12.471698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 535ff3eb-ff92-4ad3-a4d0-6d2bb004aa7b · outbound

This paper cites Davenport, Multiplicative Number Theory, Second edition, GTM 74, Springer-Verlag, New York, 1980.

On the sum of a prime and two Fibonacci numbers Davenport, Multiplicative Number Theory, Second edition, GTM 74, Springer-Verlag, New York, 1980

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:12.343295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65b277d3-a1c0-43f3-97bb-02fb65ee6119 · outbound

This paper cites Ding,On a problem of Romanoff type, Acta Arith.

On the sum of a prime and two Fibonacci numbers Ding,On a problem of Romanoff type, Acta Arith

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:12.192886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c963666-9bb5-447a-937c-44f3f25132cc · outbound

This paper cites Elsholtz and J.

On the sum of a prime and two Fibonacci numbers Elsholtz and J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.988224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 10b496fd-6ed5-484d-9ecc-9e18ac23d013 · outbound

This paper cites Erd˝ os,On integers of the form2 k +pand some related problems, Summa Brasil.

On the sum of a prime and two Fibonacci numbers Erd˝ os,On integers of the form2 k +pand some related problems, Summa Brasil

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.833644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 36c1a2c1-066e-4cae-9c74-625c6202450b · outbound

This paper cites Halberstam and H.

On the sum of a prime and two Fibonacci numbers Halberstam and H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.673694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b1280fb9-f7b1-4f83-9d84-6025f693ac41 · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:11.541569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78ba00bd-b03b-4212-ac4b-b1fd4dd0ce19 · outbound

This paper cites Liu and M.

On the sum of a prime and two Fibonacci numbers Liu and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.439472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 475cd3a3-af06-498d-868f-fc3ef9f455f5 · outbound

This paper cites Pan,On the integers not of the formp+ 2 a + 2b, Acta Arith.

On the sum of a prime and two Fibonacci numbers Pan,On the integers not of the formp+ 2 a + 2b, Acta Arith

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.349773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 458db61a-0581-4c13-a117-e466cac2c695 · outbound

This paper cites Pintz,A note on Romanoff ’s constant, Acta Math.

On the sum of a prime and two Fibonacci numbers Pintz,A note on Romanoff ’s constant, Acta Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:11.213328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ec768cc4-5199-4e87-9635-4554a88118bf · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:11.087197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3b55056-0284-4131-b7bd-851aa42f6f94 · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:10.953735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ed128d5-7eb9-4a95-93d8-6fa2f784d09b · outbound

This paper cites Schinzel,Special Lucas sequences, including the Fibonacci sequence, modulo a prime, inA Tribute to Paul Erd˝ os, eds.

On the sum of a prime and two Fibonacci numbers Schinzel,Special Lucas sequences, including the Fibonacci sequence, modulo a prime, inA Tribute to Paul Erd˝ os, eds

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:10.816807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 544c76d3-a831-405b-9989-44f9d12951cb · outbound

This paper cites ˇSiurys,On integers not of the formF n ±p a, Int.

On the sum of a prime and two Fibonacci numbers ˇSiurys,On integers not of the formF n ±p a, Int

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:10.679562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0daea39d-d31b-42c4-b97f-582cc4cb4358 · outbound

This paper cites Somer,Distribution of residues of certain second-order linear re- currences modulop, inApplications of Fibonacci Numbers, eds.

On the sum of a prime and two Fibonacci numbers Somer,Distribution of residues of certain second-order linear re- currences modulop, inApplications of Fibonacci Numbers, eds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:15:10.491884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87e0c38a-5227-46db-8cda-923928126d4e · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:10.342700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c7ee7a70-af2a-42f8-8f8f-25b984ed362f · outbound

This paper cites an unresolved cited work.

On the sum of a prime and two Fibonacci numbers Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:15:10.196576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 5eaa62d7-1b51-479b-ad78-90aee7ab01f4 · inbound

On integers of the form \(p+F_{2^k}+F_q\) cites this paper.

On integers of the form \(p+F_{2^k}+F_q\) On the sum of a prime and two Fibonacci numbers

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-30T14:44:45.828370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.