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Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.599427Z digest=sha256:56078a0fcfbfb6c690b47ca242d6e9ea5a22850a6926eb21944a6b05979399b5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.655938Z digest=sha256:a8c60c8a9142a6235b86a8dcc2ff7215d18d520e5e3a2af66417928ae8c7578e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.696955Z digest=sha256:648fdcd8d987143b73d62e0b3bff043ccd908a8e7b20e548b3fc745fd3e8447d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.742874Z digest=sha256:d47ac6953f30e3066ca5c7cbcb6cfcdbc04dfdc2783a96459cd2b8abf2f918e9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.792470Z digest=sha256:5fbbe9b6d7bc377ec8c06edff2656da6bcca915406794c2ef8a55c6bd8c767e2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.844814Z digest=sha256:77213f780c3b5617475a78cef36a5dd623ca078101896e0d0689524167c9b599

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.909793Z digest=sha256:006881c74f6a58aa5e335f0c7d5d97547c0e6e3ba8500c88d78c2604a65ebfe1

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.950066Z digest=sha256:a0ecebd75557bca9923a0ffcc42cf51104ddaf15ec63567baa4989a7597dc95d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:55.998418Z digest=sha256:bd1551f3a1f2552ae33723ab6bf90b9ce4da3170e11fdfa2d29440c0be6281ce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.036617Z digest=sha256:5ff4b1a3bb9230ccc73a15770000342aed405c5c9216ed3bc06b5ee553ef5e70

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.076920Z digest=sha256:b157f7404770d24085a34fb8ef6622d812ecad08995df51a0b2b3073ec70c5b6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.121524Z digest=sha256:cd8a6985f13485e80d0d9029f002950f8b9bdc3464352aa70a02d9e437670404

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.176550Z digest=sha256:10192b93599b298ff2e2824f6bfff55e7aa7f49a89ef53b7ff536f45726bfe99

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.214993Z digest=sha256:229327d6a169eabfd41078fa71b744cce42ece588549a0301f3f16008967420d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.263485Z digest=sha256:a6261feaa24431dff6c5b96af606eb4d053396b80e18dc80e40c6720c611a1ba

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.294873Z digest=sha256:186b407fb5083cf96e08c9e254b6dc4eb063afd377db539d22346492c1718a8a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.358167Z digest=sha256:d3853243d9d897c65b7fcab08945931bcb70c137fae19c107a72b0ebc82950ce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.409052Z digest=sha256:2c5616363e659d7ea0cffaae31c80bd9f2bb35955c4904a7b962800d0133140e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.470031Z digest=sha256:38a0cd9a327066f3e204a1f7bc057447d7797bcc9ad684bd6d7f8773a85365d0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.525060Z digest=sha256:5f39e7096337ed3e3a412a1f17ea186dcb66053987d0eff5c463a679c0814544

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.590835Z digest=sha256:59d24e79378d3d62438305d3dab757227c1c6699d225161a2e7ad1e57d90217f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T14:11:56.639519Z digest=sha256:6cf3f3524415a8e84c28308f4f5bdc35bb2354c066c55b0a1172a40a79ea54f4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T05:19:44.076917Z digest=sha256:bc5ac5584fa2b27a18015c2add183fb9d21a26d38836e97a4bd2014643fbfd70