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Paper Citation Record · LEDGER

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions

As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.06113.

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

pith.paper-citation-record.v1
2607.06113 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T16:20:17.382586Z

measured 11 of 11 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 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

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c282e51f-7d27-4d87-919c-5d6ee6155323 · outbound

This paper cites an unresolved cited work.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Unresolved cited work

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-08T16:25:09.897440Z

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=2026-07-08T16:20:17.382586Z digest=sha256:cf44d132d2c15414adebae54a644f673bfcb3c3c9b5a9ac01d55450b34f2c5a1

Observation 8fa02144-dd34-4f6e-b812-c6d4a0838162 · outbound

This paper cites Alon and J.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Alon and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.053173Z

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=2026-07-08T16:20:17.382586Z digest=sha256:6e7b3591605f584241a0b0e12de2d2d151c4f76365ce5e0d14de42e00a9f6f89

Observation 4cd81bf9-5c18-420c-a6f0-85685ada726f · outbound

This paper cites Amiot, Structures, algorithms, and algebraic tools for rhythmic canons,Perspectives of New Music49(2) (2011), 93–142.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Amiot, Structures, algorithms, and algebraic tools for rhythmic canons,Perspectives of New Music49(2) (2011), 93–142

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.066121Z

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=2026-07-08T16:20:17.382586Z digest=sha256:7ba2e6c5ed930ab242dcde83e4a37e75df14b378197bd7c7a3ddb9640080304f

Observation 88d40b50-b2aa-4ff5-8503-69314c38dc3e · outbound

This paper cites Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-08T16:25:09.894386Z

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=2026-07-08T16:20:17.382586Z digest=sha256:0da7bbeed59bcc51a7238c181e1b1a019966b89e63f32c8c6b8d28ace54bd2dd

Observation 86b151b6-bfb4-49a8-9d1c-eb9b43290cc1 · outbound

This paper cites Frankl and V.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Frankl and V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.056846Z

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=2026-07-08T16:20:17.382586Z digest=sha256:29a9aa28441f50208eacf4884194211b4df45300ec3ed89d1116b4e7288bd934

Observation c28dc172-dab1-42d8-9f57-25920eec0264 · outbound

This paper cites Johnson, Perfect rhythmic tilings, lecture at the MaMuX seminar, IRCAM, 2004.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Johnson, Perfect rhythmic tilings, lecture at the MaMuX seminar, IRCAM, 2004

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.062391Z

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=2026-07-08T16:20:17.382586Z digest=sha256:ee56bf2e97f9714327f2c88ba7e28e8f084c6d23d10967814651a953c5530ee6

Observation ae5a44ab-9d73-43c5-9cd3-0bfd8aa2ca3a · outbound

This paper cites Lubell, A short proof of Sperner’s lemma,J.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Lubell, A short proof of Sperner’s lemma,J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.060713Z

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=2026-07-08T16:20:17.382586Z digest=sha256:fdf1d93c5e87a07e706d6e2ac99320b56b1e670278224143a9242e7cb02cfda5

Observation 3d507aa3-dd3a-48b0-a9c0-ea256d1638b4 · outbound

This paper cites an unresolved cited work.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-08T16:25:10.055020Z

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=2026-07-08T16:20:17.382586Z digest=sha256:b301ad6b8dd87c7c0b4c30746bd4e041290b1a33276944c3c5983d1d62a9d651

Observation 652088ed-0d74-42dd-a2e9-165d7ef4a33b · outbound

This paper cites Pippenger and J.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Pippenger and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.051455Z

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=2026-07-08T16:20:17.382586Z digest=sha256:916723e1accf866762ac119aa7694a5119461307b26ca1147f52d5e6a43e12fb

Observation fb226e3e-c190-45b0-97fc-8db3a7904488 · outbound

This paper cites Rödl, On a packing and covering problem,European J.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Rödl, On a packing and covering problem,European J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.064196Z

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=2026-07-08T16:20:17.382586Z digest=sha256:472a87b0def24f657cdda31fa564cb43100aeeb9de12bde8552db6c761efbed6

Observation ef2c2431-66bf-4b11-9ecc-5255c4764544 · outbound

This paper cites Skolem, On certain distributions of integers in pairs with given differences,Math.

Solution to a conjecture of Alon, D\k{e}bski, Grytczuk and Przyby\l{}o on fixed-cardinality arithmetic progressions Skolem, On certain distributions of integers in pairs with given differences,Math

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:25:10.058904Z

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=2026-07-08T16:20:17.382586Z digest=sha256:3e23dcc1d4b757f2aab2a125378f95b71de0d045568e2bb767c248b59c5bd6fc

Pith citing papers

No inbound Pith citation observations are available.