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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 2026-08-11T06:34:44.6726+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

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:fa8ed905d1901c60b312788c8ca8ccba65d0819f8d92c15536a157ac000fbd5c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:ccd714f57af1ebb155084f32b49186c3fab11aee619a99d7f85338633e0b060d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:dcdc2b50aae75cfaeee1dc730e6d2bb3dfd4600a4db8044a2fdba54dea226417

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:2cafe80241e988018d0b5b27b392f0c84e93529842d93e7300564b6446c55593

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:42ddfdbc366ebb1d596b3b6f7b1bd23cc0b5c290089f8c31aa8e1848c0371f91

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:7d9c8177b300e7739d735178e05e297ea1aaec0c0dd351168a77845caca74260

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:de573117315e15ec9b60d9bc9e56b2e5b22f38a87f1ca1777682f71fa1f6d098

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:4ef4e315972129874d424f8f13984269725d3dcff8e5d336418b058d4f1a9d5f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:fbc31e00e36129f4a6bc422987c7c5147198cfb792f14b054e8fa435da2bc4f2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:72a0aea5ed95acdf024b1e3a6d04db26f4c257512b605476e15a0060be72fae2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-08T16:20:17.382586Z digest=sha256:0b813a61cd28c4c2c720bde584ca67fcaddd0b41685dcbcec9ee13c5b21858b9

Pith citing papers

No inbound Pith citation observations are available.