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Paper Citation Record · LEDGER

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2506.12047.

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

pith.paper-citation-record.v1
2506.12047 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:11:56.639519Z

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 2026-06-30T14:44:45.829539Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51d32d99-4c8c-4721-908e-029b8da1c5a2 · outbound

This paper cites an unresolved cited work.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:59.732358Z

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=2026-08-07T14:11:55.599427Z digest=sha256:016355121d141270cd569238d55f836b5e90a03a8520f32fca1a4a0adc3a5d9f

Observation 431e7b6a-56ca-4464-87fe-e4270355245c · outbound

This paper cites an unresolved cited work.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:59.476474Z

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=2026-08-07T14:11:55.655938Z digest=sha256:6335bbf0803d6a3a1818222d73e77efccbe24df2de46bc5f01a8f0d5b096651c

Observation aafb0249-8345-4e21-aaa1-08eb3b8a5ec9 · outbound

This paper cites Chen, R.-J.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Chen, R.-J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:59.300686Z

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=2026-08-07T14:11:55.696955Z digest=sha256:bd505a6f8258cd462af3ec25c725773d298ff1c9816e64036581cd35fec52ae2

Observation 3ee981c4-b7c8-4dff-a624-962adc9853e7 · outbound

This paper cites Chen, J.-Z.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Chen, J.-Z

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.986087Z

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=2026-08-07T14:11:55.742874Z digest=sha256:0a37e9978450763fbbcf075e784810fd16041122948248142655b4d82ae2fdfb

Observation e6ac8ff8-ae70-4fe9-ba39-1be78eb58136 · outbound

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

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Crocker, On the sum of a prime and two powers of two, Pacific J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.899229Z

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=2026-08-07T14:11:55.792470Z digest=sha256:5811dab07a0e680028de4cf137a96f1b2fb24df1acddaa92bac7524e28d8a4bb

Observation 2d4def58-f7cc-4d73-9020-49901701a73f · outbound

This paper cites de Polignac, Six propositions arithmologiques d´ eduites du crible d’Eratosth´ ene, Nouv.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ de Polignac, Six propositions arithmologiques d´ eduites du crible d’Eratosth´ ene, Nouv

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.707692Z

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=2026-08-07T14:11:55.844814Z digest=sha256:59b4f7f4765546eb9c1f572c7c648258f109b966b205035c03cd1dca5c184a4c

Observation 2a82c2ce-b501-46a1-8de7-38312e8551d8 · outbound

This paper cites de Polignac, Recherches nouvelles sur ies nombres primiers, C.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ de Polignac, Recherches nouvelles sur ies nombres primiers, C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.539182Z

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=2026-08-07T14:11:55.909793Z digest=sha256:d6b180e401098efb6e3bf667f840c1a896e76ebefc752e83801e853bb99540f4

Observation 7b78ee02-487a-4281-adab-43ad7fac4f06 · outbound

This paper cites Elsholtz and J.-C.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Elsholtz and J.-C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.369287Z

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=2026-08-07T14:11:55.950066Z digest=sha256:7c35903788b96945066aad254a2247b5d1b12a725e622c0ceb1373ec55111ce9

Observation 8fea4f60-49f8-4678-ae1b-e128afaa0dc5 · outbound

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

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ding, On a problem of Romanoff type, Acta Arith

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.241796Z

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=2026-08-07T14:11:55.998418Z digest=sha256:b8e0466d985eb1774c67d5a122833d4ec4e0950442f29da2ed2c2fe1840b18b0

Observation 8a901b83-1ce8-449b-aeee-1662259dceef · outbound

This paper cites Ding, A counterexample of two Romanov type conjectures, C.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ding, A counterexample of two Romanov type conjectures, C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.124289Z

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=2026-08-07T14:11:56.036617Z digest=sha256:173c84121ecaab6751ef4f4be2e15d537b75e82c6f3faadb761733af087f8cae

Observation 25fa85c0-ba96-4108-808c-3c9e265af74a · outbound

This paper cites Ding, Extending an Erd˝ os result on a Romanov type problem, Arch.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ding, Extending an Erd˝ os result on a Romanov type problem, Arch

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:58.006766Z

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=2026-08-07T14:11:56.076920Z digest=sha256:080c3a887c53cf40a6138238688c8fab5de88ad6d729200075cbadfd1385074f

Observation 41c607fb-5b42-4b08-a32b-043bb8542c68 · outbound

This paper cites Ding, H.-Y.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ding, H.-Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.879636Z

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=2026-08-07T14:11:56.121524Z digest=sha256:a5c284e1174aa5d322b1535af126c8c1ce4adbfc20be0c17e9dcc65f2e3cb32f

Observation b6390a35-9769-4331-9263-07559234ce20 · outbound

This paper cites Erd˝ os, On integers of the form 2 k + p and some related problems, Summa Brasil.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Erd˝ os, On integers of the form 2 k + p and some related problems, Summa Brasil

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.777162Z

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=2026-08-07T14:11:56.176550Z digest=sha256:0d2e4c66b1e75aab5b9388743b8f57b68479fa692fafbfbb8776ea5af6e7163d

Observation f6a5acd6-5da8-4136-a920-491c6a74d141 · outbound

This paper cites Ismailescu, Primefree shifted Lucas sequences of the seco nd kind, J.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ismailescu, Primefree shifted Lucas sequences of the seco nd kind, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.671267Z

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=2026-08-07T14:11:56.214993Z digest=sha256:98d70fb8d171c8a97f722951f0bfd9b5ce9670615d942c67598bc91b6f2cbc64

Observation 8145169f-3418-42ee-8ba6-7970a333e781 · outbound

This paper cites Ismailescu, P.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Ismailescu, P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.545940Z

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=2026-08-07T14:11:56.263485Z digest=sha256:3f91d0c5c6d382d553b1310277d292b72e6b52cb7021a2e420ffe72e2fd16598

Observation e3c323b4-1507-446a-90f4-731c19ad9780 · outbound

This paper cites Jones, Fibonacci variations of a conjecture of Polignac, Integers 12 (2012) 659–667.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Jones, Fibonacci variations of a conjecture of Polignac, Integers 12 (2012) 659–667

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.446925Z

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=2026-08-07T14:11:56.294873Z digest=sha256:13e93bdad68de615cbe2eef1a42297ff76c87003080eed33285d6683bceb5110

Observation bce4ad56-f50b-4472-92aa-e29f7714148f · outbound

This paper cites an unresolved cited work.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:57.333399Z

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=2026-08-07T14:11:56.358167Z digest=sha256:3f33eab03eae8c65e2c82a721749ba6c102e9815152a1314276a5ecedc8b33bc

Observation 61a451c3-83eb-45c7-8f0b-a4e2a091e00d · outbound

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

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Pan, On the integers not of the form p + 2a + 2b, Acta Arith

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:57.200296Z

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=2026-08-07T14:11:56.409052Z digest=sha256:2a56a5ccc731863ca64510b8d5f17bec798949d68d648b4f0c76fbc0d52ec507

Observation a826b31a-c712-4e94-b57e-fed33980fcea · outbound

This paper cites an unresolved cited work.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:57.073183Z

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=2026-08-07T14:11:56.470031Z digest=sha256:413f108d7be400689e7afbf483a9666895c84f1e9a1e840a580a411419271706

Observation a8152ec8-97f4-49c8-8285-464a9fe831f5 · outbound

This paper cites ˇSiurys, On integers not of the form Fn ± pa, Int.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ ˇSiurys, On integers not of the form Fn ± pa, Int

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:56.952013Z

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=2026-08-07T14:11:56.525060Z digest=sha256:43ea9d300eaa1c7622f81ec3dc15a0f57683d11b01171ef1a2f0f176528595bc

Observation 6c1eb6b6-ba5f-441d-96cd-61f38020eb8b · outbound

This paper cites an unresolved cited work.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:56.874446Z

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=2026-08-07T14:11:56.590835Z digest=sha256:e79026642ad383877a3f3805a8ab8a708a0ebb0fd814b686b968fe1fd4ebc288

Observation 89c1ce98-cb24-4452-ba40-36e479addde1 · outbound

This paper cites Yuan, Integers not of the form c(2a + 2b) + pα , Acta Arith.

On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$ Yuan, Integers not of the form c(2a + 2b) + pα , Acta Arith

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:56.751315Z

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=2026-08-07T14:11:56.639519Z digest=sha256:a84387a89fb5d0ab1476670344b6bfc842d76d5ccbed28930d8a032070cff34d

Pith citing papers

Observation 05af62d0-6e50-43ca-90d6-731a1f853664 · 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 arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:44:45.831026Z

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:a0420e19bee1f703001dc612d68c1c1f63fbd75a335445163185f3b4a7bc2fc3