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Paper Citation Record · LEDGER

On the sum of a prime and two Fibonacci numbers

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:07.779718Z digest=sha256:e2f5b9822be347b602a009fabe331f664b47834591f796eb55173430d34e75b7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:07.907224Z digest=sha256:31b5258b20002fdf1b992f4df5666a205fe7154d44410d54748db7753820b148

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:07.990695Z digest=sha256:bfbdfe254e9b08c1ffc5269497c65575809b599920d66c028fe8165e66cc2bd8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.118545Z digest=sha256:3808f85470f50f0bb8df328df7e2d3bacee477505f98d61914b841b2b6ddb142

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.210709Z digest=sha256:39a3c6f27f31460695be15f2f068589ddd4a62a4792d58f282c3bac6d4c2f9c9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.374452Z digest=sha256:7385c4c75770ff1e2efdd398b3099c38892ff584b51340467062566b2c4e8210

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.472821Z digest=sha256:f1a72aa2e7c557a72fc6df2d7a4fac6c61d2525222f7783294adcb752a299eb4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.615314Z digest=sha256:636217fa92f0484e864a3cfa6fcd6f836814814a307bda994c5cfd11724abf2a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.751207Z digest=sha256:5e87841f4a05feccbecd1ecb27cde9280a47df0c0bd59e95ae27abbeac94c54a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:08.862032Z digest=sha256:22e03dd968c700f032a70e817857c20d3e2d1f869771eb6ce27ae9e7cac5fef7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.021445Z digest=sha256:7073425b51091729c463ea2939aaa9221be30bb2919bde7098b5268779214a24

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.166063Z digest=sha256:63a91bd2ff39d26932c63aa1aaed9f64cd2a4ebb6638be4200f9462ecb91497f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.259500Z digest=sha256:5ff8f4c79342b6d7f6008567e24dd16080c9cc76197b550f64fabac2da4e7786

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.393431Z digest=sha256:813a1a9d8bbd18b3e14b7f72d2c07d0d637cd3b8e0e42ca8b8f4bd6769c818d1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.451980Z digest=sha256:837d5d38e5576dab53ba0157bf809b362d6231b3ef25b9e0996f5883f4fd9ac8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.528208Z digest=sha256:2c6c5b6e55fb4af6d6358a0b45e3cdb2f456c711c5ac1dbaf020f4d8a27ddbc4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.605955Z digest=sha256:ed078792a250008acfc85de7c02548ba757c2ea36b958ee8df262a9e80fe62a1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.689510Z digest=sha256:f07870946f45cd82edf5499081ad723d351155cc9651644556c5c4cbd78df55c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.747204Z digest=sha256:5e272cc78d63afd266ca7f20e556b987392d1a8b07782cf9b57563c86fea34cf

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.806035Z digest=sha256:6b80cf7a95dff08e3e76db66581833e87f38714eb3c268fec7d08c72be149460

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.902855Z digest=sha256:e90ad2ab30ce585a00b39e129a452885bcb18f8e2cbb0d241af89277f8c06123

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:15:09.968491Z digest=sha256:456b96001c0a58d0a65557be06fdeadea0d43f7e651b22b1afda523615fff578

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-30T05:19:44.076917Z digest=sha256:eb717ed821b74dfcaee0d8f6cdafc3b0e65ae4a7b1efd35131cab38c0dc73c72