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Paper Citation Record · LEDGER

Primes of the form $ax+by$

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2506.03620.

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

pith.paper-citation-record.v1
2506.03620 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:08:45.602569Z

measured 9 of 9 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 2026-08-04T20:35:49.904495Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

8 of 8 outbound references displayed

  • verified exact2
  • verified fuzzy2
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1bec1f4-be55-4901-8aff-f2c6f54ed3d2 · outbound

This paper cites an unresolved cited work.

Primes of the form $ax+by$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:47.365816Z

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.

source=pdf_text observed=2026-08-07T11:08:45.096048Z digest=sha256:05f8ea5e13c59341b243521c9eb27589f6ea9b1dd3e82cc4127937ba1003b7ef

Observation d13aca17-4806-4d3f-b20a-85e7fbb05516 · outbound

This paper cites Note on a conjecture of Ram\'{\i}rez Alfons\'{\i}n and Ska{\l}ba.

Primes of the form $ax+by$ Note on a conjecture of Ram\'{\i}rez Alfons\'{\i}n and Ska{\l}ba

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:08:45.955746Z

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.

source=pdf_text observed=2026-08-07T11:08:45.198825Z digest=sha256:0d6a164a639e55447b977db42cefc786ec7a49dbda093997aee87220e61dc3c9

Observation 7fd591c7-3c9f-459c-be60-ea11209e056f · outbound

This paper cites Davenport, Multiplicative Number Theory, 2nd edn., GTM 74, Springer, New York, 1980.

Primes of the form $ax+by$ Davenport, Multiplicative Number Theory, 2nd edn., GTM 74, Springer, New York, 1980

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:47.113742Z

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.

source=pdf_text observed=2026-08-07T11:08:45.273846Z digest=sha256:b9446b8959014b640a48410303477ec994ea32266d718ed9d6edde3750c02a02

Observation 3f29a5d7-b0ee-4dca-9a5b-ff5b3b4b56c7 · outbound

This paper cites On a conjecture of Ram\'{\i}rez Alfons\'{\i}n and Ska{\l}ba II.

Primes of the form $ax+by$ On a conjecture of Ram\'{\i}rez Alfons\'{\i}n and Ska{\l}ba II

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:08:45.811819Z

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.

source=pdf_text observed=2026-08-07T11:08:45.340078Z digest=sha256:73b9a23885336d2f9ef3b8687eddeab9b12fea276b8d82ed79ff4ad43080ce57

Observation 9e887c3f-0cce-4a03-a2d9-4034a74f26d3 · outbound

This paper cites Ding, On a conjecture of Ram ´ ırez Alfons ´ ın and Ska lba, J.

Primes of the form $ax+by$ Ding, On a conjecture of Ram ´ ırez Alfons ´ ın and Ska lba, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:46.880753Z

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.

source=pdf_text observed=2026-08-07T11:08:45.398270Z digest=sha256:2568f9d8ffac7221be87bc5ad3d1cd8a0e45aff3ce2e2eb212433065d53af112

Observation 4e923408-79fb-4b34-8c2e-6f44e3cbdee7 · outbound

This paper cites an unresolved cited work.

Primes of the form $ax+by$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:46.629948Z

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.

source=pdf_text observed=2026-08-07T11:08:45.460564Z digest=sha256:f367fc44f28d78c95fe874d4862d3ffb32c3ab7926b4ff71780ea9a8f6e95f6d

Observation cdab2cd2-12ce-4174-a0e1-f35628df1543 · outbound

This paper cites an unresolved cited work.

Primes of the form $ax+by$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:46.357507Z

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.

source=pdf_text observed=2026-08-07T11:08:45.524042Z digest=sha256:1f22beb07cac338ec613833dcb272cc3e68d6b1caeeec33c246a196b03549c96

Observation 17420740-1d26-4bec-af83-762cd7a3f20a · outbound

This paper cites an unresolved cited work.

Primes of the form $ax+by$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:46.081394Z

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.

source=pdf_text observed=2026-08-07T11:08:45.602569Z digest=sha256:85497078a167e198fb8fe6e550df96e092960fc78a568c442aed8249ec7640e0

Pith citing papers

Observation 4eaee0c1-75af-4f31-893f-fa2a8c74a041 · inbound

The Diophantine Frobenius Problem revisited cites this paper.

The Diophantine Frobenius Problem revisited Primes of the form $ax+by$

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T20:35:49.904495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:35:49.904495Z digest=sha256:1b90fa5b83b4a57c1e9135cd2aecbe31532ad13e0443ffcfc93953b640b90ae3