Paper Citation Record · LEDGER

No-$(k+1)$-in-line problem for $k \geqslant 3$

As of 7 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.05255.

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

pith.paper-citation-record.v1
2607.05255 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-07T21:25:11.018193Z

measured 42 of 42 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 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

42 of 42 outbound references displayed

verified exact7
verified fuzzy27
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 277a859f-100d-41cd-9ee0-62a4e20654ac · outbound

This paper cites On a hypergraph matching problem.Graphs Combin., 21(4):377–384, 2005.

No-$(k+1)$-in-line problem for $k \geqslant 3$ On a hypergraph matching problem.Graphs Combin., 21(4):377–384, 2005

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.414066Z

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.

Observation 62d106ea-d4c0-4d93-a314-fdc6736fbca2 · outbound

This paper cites Ball and J.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Ball and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.445182Z

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.

Observation a824c5ed-10ed-4523-b2ff-091f627bf428 · outbound

This paper cites Primitive points in rational polygons.Canad.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Primitive points in rational polygons.Canad

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.418204Z

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.

Observation f6910167-834a-473c-986e-477e1db9b875 · outbound

This paper cites The $n$-queens problem.

No-$(k+1)$-in-line problem for $k \geqslant 3$ The $n$-queens problem

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.293593Z

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.

Observation c6b05f3b-a7d4-422e-b2d9-ce0d5acf2550 · outbound

This paper cites On counting point-hyperplane incidences.Comput.

No-$(k+1)$-in-line problem for $k \geqslant 3$ On counting point-hyperplane incidences.Comput

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.466328Z

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.

Observation c5a49a1c-20d4-445e-b937-68de1c299375 · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.451831Z

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.

Observation e905ed50-d1bb-4f4e-ae35-39bf39306fe4 · outbound

This paper cites Private communication.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Private communication

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.448990Z

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.

Observation e5928afe-1116-4047-a129-b101a12e0469 · outbound

This paper cites Thresholds for (n, q,2)-Steiner systems via refined absorption.Mathematical Proceedings of the Cambridge Philosophical Society, pages 1–20, 2026.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Thresholds for (n, q,2)-Steiner systems via refined absorption.Mathematical Proceedings of the Cambridge Philosophical Society, pages 1–20, 2026

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.443358Z

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.

Observation cfb06ce2-78ea-46fc-b030-87038366220e · outbound

This paper cites Large grid subsets without many cospherical points.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Large grid subsets without many cospherical points

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.296238Z

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.

Observation 4a172027-7cf3-47f5-a249-9ee5a54599ac · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.441524Z

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.

Observation baf8dae3-4c0c-44e4-9367-e4e368a00397 · outbound

This paper cites Subspace evasive sets.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Subspace evasive sets

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.473437Z

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.

Observation 53eaf50b-f3c0-4b1d-a7f9-5f2d7219d212 · outbound

This paper cites Pseudorandom hypergraph matchings.Combin.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Pseudorandom hypergraph matchings.Combin

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.421883Z

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.

Observation aa23aab9-aef0-474b-b39f-7bc7ebfb5815 · outbound

This paper cites Cambridge University Press, 2018.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Cambridge University Press, 2018

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.470062Z

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.

Observation 956d6e3a-4f81-4c28-8a32-29d081be1d89 · outbound

This paper cites On subsets of lattice cubes avoiding affine and spherical degeneracies,.

No-$(k+1)$-in-line problem for $k \geqslant 3$ On subsets of lattice cubes avoiding affine and spherical degeneracies,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.419931Z

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.

Observation ee2a43fe-1f5b-4b4b-a803-290c7ca0f8e8 · outbound

This paper cites On subsets of lattice cubes avoiding affine and spherical degeneracies.

No-$(k+1)$-in-line problem for $k \geqslant 3$ On subsets of lattice cubes avoiding affine and spherical degeneracies

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T21:34:09.284144Z

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.

Observation c53b6fea-54d3-4e93-94c6-3997b173e436 · outbound

This paper cites Conflict-free hypergraph matchings.J.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Conflict-free hypergraph matchings.J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.412325Z

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.

Observation 6c45095f-9fef-4b74-9c3c-1e161b6d9b14 · outbound

This paper cites Grebennikov and M.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Grebennikov and M

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T21:34:09.302181Z

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.

Observation b6f546dd-3486-4ebb-854b-a8ddc0913a44 · outbound

This paper cites 100 open problems.

No-$(k+1)$-in-line problem for $k \geqslant 3$ 100 open problems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.461044Z

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.

Observation d1174291-a06f-4bac-a79b-63bfcf7525f2 · outbound

This paper cites Guy.Unsolved Problems in Number Theory, volume 1 ofUnsolved Problems in Intuitive Mathematics.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Guy.Unsolved Problems in Number Theory, volume 1 ofUnsolved Problems in Intuitive Mathematics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.453848Z

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.

Observation c09c114a-bacf-4bfa-b7da-443403df756c · outbound

This paper cites Guy and Patrick A.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Guy and Patrick A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.455639Z

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.

Observation 67604a92-5ba5-4c1e-9519-7cd84514f8dc · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.462686Z

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.

Observation 727c46c7-0e8f-4cf9-aee5-3581596e5376 · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.425571Z

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.

Observation bde3d410-a363-475e-9959-f7558beff89e · outbound

This paper cites Optimal thresholds for Latin squares, Steiner triple systems, and edge colorings.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Optimal thresholds for Latin squares, Steiner triple systems, and edge colorings

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.416325Z

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.

Observation f51bdf3d-c761-4903-9e01-3cb57489ade5 · outbound

This paper cites Thresholds for Latin squares and Steiner triple systems: bounds within a logarithmic factor.Trans.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Thresholds for Latin squares and Steiner triple systems: bounds within a logarithmic factor.Trans

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.438012Z

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.

Observation b730b1cc-65a4-4018-a36f-2de9736c3ffc · outbound

This paper cites The optimal edge-colouring threshold.

No-$(k+1)$-in-line problem for $k \geqslant 3$ The optimal edge-colouring threshold

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.304925Z

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.

Observation 9bfeb14c-ec50-4b2a-955d-8be27e3a5e13 · outbound

This paper cites Randomised algebraic constructions for the no-$(k+1)$-in-line problem.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Randomised algebraic constructions for the no-$(k+1)$-in-line problem

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.290858Z

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.

Observation 38353f86-fec8-42c0-bb69-4baf2eda52d6 · outbound

This paper cites Settling the no-$(k+1)$-in-line problem when $k$ is not small.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Settling the no-$(k+1)$-in-line problem when $k$ is not small

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.299195Z

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.

Observation 37bcb79a-cfb7-4f6a-8bf9-efa41357e15a · outbound

This paper cites Extensions of the no-three-in-line problem.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Extensions of the no-three-in-line problem

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.423656Z

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.

Observation 52e019ed-b5c9-4547-9d60-b8ef2496b96d · outbound

This paper cites Near-optimal list colorings.Random Structures & Algorithms, 17(3–4):376–402, 2000.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Near-optimal list colorings.Random Structures & Algorithms, 17(3–4):376–402, 2000

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.464548Z

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.

Observation d9cf9c50-ce62-4ce0-8a88-8da49d642558 · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

No-$(k+1)$-in-line problem for $k \geqslant 3$ AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-07-07T21:34:09.287541Z

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.

Observation c98307ba-712e-49f7-ad1c-71fd88aae093 · outbound

This paper cites Asymptotic behavior of the chromatic index for hypergraphs.J.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Asymptotic behavior of the chromatic index for hypergraphs.J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.459327Z

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.

Observation 670e5715-5a60-46e9-b8fe-810fe4b956c6 · outbound

This paper cites Prellberg, Constraint satisfaction programming for the no-three-in-line problem, arXiv:2602.07751 (2026).

No-$(k+1)$-in-line problem for $k \geqslant 3$ Prellberg, Constraint satisfaction programming for the no-three-in-line problem, arXiv:2602.07751 (2026)

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-07T21:34:09.307863Z

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.

Observation eb0b0756-5cf9-4738-8d10-1c2fa8c3914f · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.430875Z

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.

Observation 7f4dfe36-6089-4455-b97e-670516781ca1 · outbound

This paper cites Threshold for Steiner triple systems.Geom.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Threshold for Steiner triple systems.Geom

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.435916Z

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.

Observation 9bca1630-d84c-438b-bf7d-2e66c023b55c · outbound

This paper cites an unresolved cited work.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-07-07T21:34:09.471808Z

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.

Observation 2717d694-1673-4855-875e-1be697c89380 · outbound

This paper cites The number ofn-queens configurations.Adv.

No-$(k+1)$-in-line problem for $k \geqslant 3$ The number ofn-queens configurations.Adv

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.432465Z

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.

Observation ee6f9f82-44ab-4b2f-a847-495e81fb4296 · outbound

This paper cites A lower bound for then-queens problem.

No-$(k+1)$-in-line problem for $k \geqslant 3$ A lower bound for then-queens problem

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.457521Z

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.

Observation bff9b24c-4f3f-4f1d-a416-fdd147fd3993 · outbound

This paper cites Evasive sets, covering by subspaces, and point-hyperplane incidences.Discrete Comput.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Evasive sets, covering by subspaces, and point-hyperplane incidences.Discrete Comput

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.429245Z

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.

Observation dd800489-c72f-410b-8c0e-497e319176a3 · outbound

This paper cites On higher dimensional point sets in general position.Combin.

No-$(k+1)$-in-line problem for $k \geqslant 3$ On higher dimensional point sets in general position.Combin

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.427447Z

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.

Observation 86deddb5-2fb9-40e8-8aab-4fd855511954 · outbound

This paper cites PhD thesis, Institut f¨ ur Mathematik II, Freie Universit¨ at Berlin, Berlin, 1995.

No-$(k+1)$-in-line problem for $k \geqslant 3$ PhD thesis, Institut f¨ ur Mathematik II, Freie Universit¨ at Berlin, Berlin, 1995

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.439841Z

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.

Observation 2854fd41-6d16-41f1-a88d-8abd00e05322 · outbound

This paper cites The no-four-on-circle problem.Journal of Combinatorial Theory, Series A, 71(2):332–334, 1995.

No-$(k+1)$-in-line problem for $k \geqslant 3$ The no-four-on-circle problem.Journal of Combinatorial Theory, Series A, 71(2):332–334, 1995

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.410610Z

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.

Observation 12e5b43b-1a0a-405a-be67-e2d9ed1b3b82 · outbound

This paper cites Lipschitz class, narrow class, and counting lattice points.Proceedings of the American Mathematical Society, 140(2):677–689, 2012.

No-$(k+1)$-in-line problem for $k \geqslant 3$ Lipschitz class, narrow class, and counting lattice points.Proceedings of the American Mathematical Society, 140(2):677–689, 2012

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T21:34:09.468374Z

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.

Pith citing papers

No inbound Pith citation observations are available.