Paper Citation Record · LEDGER

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems

As of 11 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2508.02433.

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

pith.paper-citation-record.v1
2508.02433 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:09:08.852683Z

measured 20 of 20 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy15
unresolved4
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External citation measurements

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Outbound references

Observation 9c0e699c-b07a-4e15-8c69-b4128104705a · outbound

This paper cites Alsetri, Density ternary Goldbach for primes in a fixed residue class.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Alsetri, Density ternary Goldbach for primes in a fixed residue class

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-06T05:09:09.218034Z

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.

Observation b9dbbcc7-a8fb-41ec-a32d-669b8214a3c8 · outbound

This paper cites Alsetri, X.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Alsetri, X

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:12.195216Z

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.

Observation c2a61867-2a98-425b-b3d5-05431f9d8165 · outbound

This paper cites Chipeniuk, M.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Chipeniuk, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:12.011354Z

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.

Observation 059a652d-d886-4abd-b556-6066b0fcbabd · outbound

This paper cites Acta Math.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Acta Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:11.812843Z

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.

Observation cc37a578-3004-4826-abd2-a6a29a90c1b7 · outbound

This paper cites Davenport, Multiplicative Number Theory, Second edition, Graduate Texts in Mathematics 74 (Springer, New York, 1980).

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Davenport, Multiplicative Number Theory, Second edition, Graduate Texts in Mathematics 74 (Springer, New York, 1980)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:11.652201Z

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.

Observation e3bdc138-4555-4391-a3bb-89fcec7f05e5 · outbound

This paper cites Effinger, D.R.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Effinger, D.R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:11.469946Z

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.

Observation 9331a91e-681d-4c0f-93cb-cc86f4ed7c07 · outbound

This paper cites Gao, On the representation of large even integers as the sum of eight primes from positive density sets.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Gao, On the representation of large even integers as the sum of eight primes from positive density sets

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:11.300296Z

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.

Observation a5c29bfc-3ffa-42a2-b3ff-daacda8c962c · outbound

This paper cites Hayes, A Goldbach theorem for polynomials with integral coefficients.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Hayes, A Goldbach theorem for polynomials with integral coefficients

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:11.134797Z

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.

Observation e393b0b4-7e29-4171-aab3-f825d42847fa · outbound

This paper cites The ternary Goldbach problem.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems The ternary Goldbach problem

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T05:09:07.952828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c45e65bf-e519-4fb0-8034-118c605c1e15 · outbound

This paper cites Kozek, An asymptotic formula for Goldbach’s conjecture with monic poly- nomials in Z[x].

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Kozek, An asymptotic formula for Goldbach’s conjecture with monic poly- nomials in Z[x]

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.987126Z

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.

Observation ebcc28b1-dd46-4b24-b1d3-6df8c277b369 · outbound

This paper cites Matom¨ aki, Sums of positive density subsets of the primes.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Matom¨ aki, Sums of positive density subsets of the primes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.846853Z

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.

Observation 23682a8e-87d1-4117-8fab-83e3a5f651ca · outbound

This paper cites an unresolved cited work.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:09:10.661120Z

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.

Observation 52c440f8-ad39-4173-9ab2-5cb3727c9672 · outbound

This paper cites Pintz, A new explicit formula in the additive theory of primes with appli- cations I.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Pintz, A new explicit formula in the additive theory of primes with appli- cations I

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.517576Z

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.

Observation 31b337fc-5df8-429d-8155-0bc625db16da · outbound

This paper cites Pollack, On polynomial rings with a Goldbach property.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Pollack, On polynomial rings with a Goldbach property

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.351118Z

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.

Observation 54d435ca-4a83-41fa-ba3d-6551b5809009 · outbound

This paper cites Saidak, On Goldbach’s conjecture for integer polynomials.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Saidak, On Goldbach’s conjecture for integer polynomials

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.181390Z

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.

Observation 2b0fbf3b-2c79-4a73-b733-ccbb1b11e1e2 · outbound

This paper cites S´ ark¨ ozy, Unsolved problems in number theory.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems S´ ark¨ ozy, Unsolved problems in number theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:10.024969Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a9f16c76-f660-4dc6-8f2e-042e51e6a8b5 · outbound

This paper cites Shao, A density version of the Vinogradov three primes theorem.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Shao, A density version of the Vinogradov three primes theorem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:09.866480Z

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.

Observation c5038feb-7cf6-408a-b63a-31eefc1e29fd · outbound

This paper cites Shen, The ternary Goldbach problem with primes in positive density sets.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Shen, The ternary Goldbach problem with primes in positive density sets

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:09:09.715910Z

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.

Observation 7fb015db-c35d-42bf-91d1-95966fb075e6 · outbound

This paper cites an unresolved cited work.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:09:09.558301Z

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.

Observation 2b95a8cc-4f71-47c5-b2d0-8d640a1e3ccd · outbound

This paper cites an unresolved cited work.

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:09:09.379076Z

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.

Pith citing papers

No inbound Pith citation observations are available.