Paper Citation Record · LEDGER

Arithmetic progressions in a random set on a budget

As of 23 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.21565.

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

pith.paper-citation-record.v1
2607.21565 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:14:15.563512Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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 exact12
verified fuzzy0
unresolved6
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8ea1f04-059a-4824-a24f-5a91d52cf926 · outbound

This paper cites Ajtai, J.

Arithmetic progressions in a random set on a budget Ajtai, J

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T07:18:29.840232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0c7e8f9e-bbe6-471c-a171-9f7cf5401422 · outbound

This paper cites an unresolved cited work.

Arithmetic progressions in a random set on a budget Unresolved cited work

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:14:12.839417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5575bfcc-7df1-458e-ab60-ee156054bcfc · outbound

This paper cites Antoniuk, A.

Arithmetic progressions in a random set on a budget Antoniuk, A

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-08-01T07:18:29.511914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5f4fddde-2a80-4be8-96b3-a6320716b97b · outbound

This paper cites Bollobás.

Arithmetic progressions in a random set on a budget Bollobás

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:13.107080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8630922-267a-446c-bd44-13a8500d4f57 · outbound

This paper cites an unresolved cited work.

Arithmetic progressions in a random set on a budget Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:13.313444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d17af41c-4e6b-40a2-883e-67d6d11cd596 · outbound

This paper cites Bollobás and A.

Arithmetic progressions in a random set on a budget Bollobás and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:13.428254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77c5f9fb-d050-4a86-a060-b4bc29166b8d · outbound

This paper cites Conlon and W.

Arithmetic progressions in a random set on a budget Conlon and W

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T07:18:29.312229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a748aa7f-6b5f-4970-a1b0-3bf933f94ae8 · outbound

This paper cites Erdős and A.

Arithmetic progressions in a random set on a budget Erdős and A

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:14:13.690332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 986359e9-105a-4a55-928c-df693200ae64 · outbound

This paper cites an unresolved cited work.

Arithmetic progressions in a random set on a budget Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-01T07:18:29.129279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c7dda194-0e0d-40d5-a1a2-e702d9d78879 · outbound

This paper cites Graph factors and powers of Hamilton cycles in the budget-constrained random graph process.

Arithmetic progressions in a random set on a budget Graph factors and powers of Hamilton cycles in the budget-constrained random graph process

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-01T07:18:28.948295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a23360f7-852d-4234-87a2-df21184e5672 · outbound

This paper cites Frieze and M.

Arithmetic progressions in a random set on a budget Frieze and M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:14.150262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cde4c3bb-944b-4252-858f-cddfc56b2f32 · outbound

This paper cites Frieze, M.

Arithmetic progressions in a random set on a budget Frieze, M

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T07:18:28.782601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b4d37ceb-9a06-4129-b7bd-4018f6ea810e · outbound

This paper cites Multi-cyclic graphs in the random graph process with restricted budget.

Arithmetic progressions in a random set on a budget Multi-cyclic graphs in the random graph process with restricted budget

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-01T07:18:28.543670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a04baf96-f1ff-469f-a0b5-1cadc1d75a4c · outbound

This paper cites Janson, T.

Arithmetic progressions in a random set on a budget Janson, T

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:14.615874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5abb1d45-7517-476b-839b-616e3e337606 · outbound

This paper cites Katsamaktsis and S.

Arithmetic progressions in a random set on a budget Katsamaktsis and S

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:14:14.788337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ca671e2-7cf3-4b78-ba15-9a49421c41ca · outbound

This paper cites Kohayakawa, T.

Arithmetic progressions in a random set on a budget Kohayakawa, T

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T07:18:28.300773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 515b878b-52fd-4d04-8d7c-16a80811de78 · outbound

This paper cites Lichev.d-connectivity of the random graph with restricted budget.J.

Arithmetic progressions in a random set on a budget Lichev.d-connectivity of the random graph with restricted budget.J

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T07:18:28.082580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 22590abf-6fa1-4a2d-be63-4cf312025162 · outbound

This paper cites an unresolved cited work.

Arithmetic progressions in a random set on a budget Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-01T07:18:27.865676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a370c505-bfe2-445c-a689-57699eae54a6 · outbound

This paper cites an unresolved cited work.

Arithmetic progressions in a random set on a budget Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T07:18:27.644478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8d30cd31-29bb-4e81-b13d-cac2fc2a957b · outbound

This paper cites Szemerédi.

Arithmetic progressions in a random set on a budget Szemerédi

Reference 20

Resolution: verified exact; doi, observed 2026-08-01T07:18:27.492704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.