Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.599427Z digest=sha256:2a3c658f6c099e94bd3a835d1f7c88f442dc3847c1c89775b57cf449876307b0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.655938Z digest=sha256:9b841b3bd35e38296a4de555e4c79157916d1c7d95fed70097931cd78a51df4c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.696955Z digest=sha256:af6e12bd0c324312e42a0d75278470591c13ec765b4254b3acd4f9472170f635

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.742874Z digest=sha256:c49712a0a121b49f48bea7b403c3b119c14bcc92840334b7931506350cdcbaad

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.792470Z digest=sha256:c2d33d041413a5dca0c7f950a53501279e7d5257beb630af8f5a84b38168472f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.844814Z digest=sha256:6954fae167395eddc4db56754a533ffc37777b5f8b7eaa7c8263e33f11773dfd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.909793Z digest=sha256:98d1b2a5f887b449e6ea1fe5634ef29b00f2b1058dfd0a7bccdadecfbb67cf33

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.950066Z digest=sha256:a39ad55ebcd6b9814a95fa2ad11b66d7169a75fe8b531d0ed602962536af12c5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:55.998418Z digest=sha256:72da6b5408d82158762cdcc2d22b66d7b8b7ddbe504f1f4dd56d85b875127d1a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.036617Z digest=sha256:35ca761fdc955402d0c3e46a07c7813b3ba80f945e2a1fa38a6ff21247ee4b5a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.076920Z digest=sha256:20d7974d2e9bf191f79a7b695ec968ccd79877bc578d69cc47f42ff05df5d1b2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.121524Z digest=sha256:3adfe7c3ee9a119f3b1f3bc567a7f98b90cc709518ea30a4b19af6b7df8d0c16

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.176550Z digest=sha256:4ae1dca6ccf32e2ad4cb757d1637120dfe6b3eadc3c57b328a1d78ba6f1b3e33

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.214993Z digest=sha256:d041de6b452447e2d774d3e9fbb41d6eb0fd6db334c51539bb928f0506719036

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.263485Z digest=sha256:72c8e71e3b9b733aa11c644ab2ecc0c4c77a41e14bc7aea5e3cd714b389b2115

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.294873Z digest=sha256:38d3189fb6511586ad4a7a389135a40c67230f263c232ee9474404ce719166f8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.358167Z digest=sha256:dd153917fe55a82bf9083d273f625a57a2162d69210d36c648dcf49201c07f41

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.409052Z digest=sha256:f60febb13ec01a886ef649dc032735e5c1a7b35ddb48be807381c1f4473298cd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.470031Z digest=sha256:e136abd4e5939f6520348cbda7408e9ed3829575bd52d9d2dfff90c0a9b242a8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.525060Z digest=sha256:312231c944d311dc11c1c47995e5ba65e2eddbb627dfe7497cab7648d290ccc5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.590835Z digest=sha256:2b9f0e853438683977028fd8dc1ae79ffba9dd1904d88ff245861593ba76dab6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:11:56.639519Z digest=sha256:16c2be6aed7a43cbe0af6840f419ecc80a357f997c40d413654e35176b549235

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T05:19:44.076917Z digest=sha256:f22ee3749b4d35dc0160293ef85bffe4ac1fb4fd594101034d8ced5a08d1dd04