Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T23:02:20.919760Z
Paper Citation Record · LEDGER
On subsets of lattice cubes avoiding affine and spherical degeneracies
As of 10 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 4 inbound Pith citation observations for arXiv:2509.06935.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-07T21:25:11.018193Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-07T21:34:09.282328Z
Reference resolution
43 of 43 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c8d72fc8-1164-4118-92f1-77eae01a14b3 · outbound
This paper cites Ajtai, J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Ajtai, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.438442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 818eecb6-ae23-45d0-8062-6c1f7fd5e9c7 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.402545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e5c9ce32-4bb0-470b-8870-7328c3a7627c · outbound
This paper cites Balko, J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Balko, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.383520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7e7cbae1-04dd-459f-9302-16dc6b42b685 · outbound
This paper cites Grid-drawings of graphs in three-dimensions.
On subsets of lattice cubes avoiding affine and spherical degeneracies Grid-drawings of graphs in three-dimensions
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T23:02:20.999611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 96f7c1e4-3c08-4226-afc6-9df4aa22205c · outbound
This paper cites B´ ar´ any, G.
On subsets of lattice cubes avoiding affine and spherical degeneracies B´ ar´ any, G
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.363922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 42ef7a61-902b-4adc-aafc-2b9b61d86993 · outbound
This paper cites B´ ar´ any and D.
On subsets of lattice cubes avoiding affine and spherical degeneracies B´ ar´ any and D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.348625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fdf9980d-8ab6-4415-80fd-743ac2e45ab0 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.339624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c2f02f32-9d56-4229-9203-bad9d63ac07b · outbound
This paper cites Brass and C.
On subsets of lattice cubes avoiding affine and spherical degeneracies Brass and C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.330226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation db64ad9e-3b69-447d-9d23-a84f9758d632 · outbound
This paper cites Brass, W.
On subsets of lattice cubes avoiding affine and spherical degeneracies Brass, W
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.320893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation caebf939-a9cb-4476-be2a-44b7a8df8b0f · outbound
This paper cites Applications of Sparse Hypergraph Colorings.
On subsets of lattice cubes avoiding affine and spherical degeneracies Applications of Sparse Hypergraph Colorings
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-04T23:02:20.984133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 60bcef62-feda-401e-bfd1-9b519cc19459 · outbound
This paper cites Cohen, C.
On subsets of lattice cubes avoiding affine and spherical degeneracies Cohen, C
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.310430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2dad2a10-2aa5-4411-9982-4cf26faaf7c3 · outbound
This paper cites Cooper and D.
On subsets of lattice cubes avoiding affine and spherical degeneracies Cooper and D
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.299357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 79d74f37-d46f-4c01-8ca5-c50c7f6416cd · outbound
This paper cites Croot, V.
On subsets of lattice cubes avoiding affine and spherical degeneracies Croot, V
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.289033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 73b04f31-ae7e-4ed7-859c-7ba67f37a2eb · outbound
This paper cites Large grid subsets without many cospherical points.
On subsets of lattice cubes avoiding affine and spherical degeneracies Large grid subsets without many cospherical points
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:02:20.827831Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a4ccadd-0d92-4106-8cc5-12875e607e6f · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.279529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e174cd91-3070-4a7a-a4c4-8de48d916c5d · outbound
This paper cites Elkin, An improved construction of progression-free sets,Israel J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Elkin, An improved construction of progression-free sets,Israel J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.269796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ce8d5d98-c0ab-44f6-a016-110ffae41a5b · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.259327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c2949431-7fea-469f-a8ed-7b60b512230c · outbound
This paper cites Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields.
On subsets of lattice cubes avoiding affine and spherical degeneracies Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:02:20.839069Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abab5e60-b923-448b-8f48-6cd80034308c · outbound
This paper cites Eppstein, Random no-three-in-line sets, blog post, 2018.
On subsets of lattice cubes avoiding affine and spherical degeneracies Eppstein, Random no-three-in-line sets, blog post, 2018
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.248606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d55b1a1a-b012-4179-b934-d4c4f4bbb12f · outbound
This paper cites Green, 100 open problems, Manuscript.
On subsets of lattice cubes avoiding affine and spherical degeneracies Green, 100 open problems, Manuscript
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.238942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b37c54ef-b395-4e9d-9945-cd6c99dc3472 · outbound
This paper cites Gritzmann and J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Gritzmann and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.229248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5ad3a491-b7a0-4c07-8031-a655401b1772 · outbound
This paper cites Guruswami, Linear-algebraic list decoding of folded Reed-Solomon codes, inProceedings of the 26th IEEE Conference on Computational Complexity, pp.
On subsets of lattice cubes avoiding affine and spherical degeneracies Guruswami, Linear-algebraic list decoding of folded Reed-Solomon codes, inProceedings of the 26th IEEE Conference on Computational Complexity, pp
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.218702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a851a7ae-cfc6-4fdb-b40d-24676e68f13c · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.208381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e305d687-719f-4926-8677-72bdb538ab45 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.198356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 412bcb5e-c1c9-48bd-ac25-2aadc12d0e2a · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.187072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 17ccdb2b-b813-4448-ac8e-20b7f1272031 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.177097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation af83b8ac-8fd5-4f69-a428-d3d1cdd823ad · outbound
This paper cites Iwaniec, Topics in Classical Automorphic Forms, Graduate Studies in Mathematics, vol.
On subsets of lattice cubes avoiding affine and spherical degeneracies Iwaniec, Topics in Classical Automorphic Forms, Graduate Studies in Mathematics, vol
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.166282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a2aebc80-67bd-426e-8ca6-10fcfac0e3cf · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.156700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 63dfdcb0-1d97-4ef9-9a31-eb0aba6c06c8 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.146556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7f24659a-b5a3-4f96-b149-dd04751e1e6b · outbound
This paper cites Lefmann, Extensions of the No-Three-In-Line problem, preprint, 2012.
On subsets of lattice cubes avoiding affine and spherical degeneracies Lefmann, Extensions of the No-Three-In-Line problem, preprint, 2012
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.136475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 018093f5-41e1-43b3-a5e7-1de13ad61d47 · outbound
This paper cites Lefmann, No l Grid-Points in Spaces of Small Dimension, inProceedings of International Conference on Algorithmic Applications in Management, pp.
On subsets of lattice cubes avoiding affine and spherical degeneracies Lefmann, No l Grid-Points in Spaces of Small Dimension, inProceedings of International Conference on Algorithmic Applications in Management, pp
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.126736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7b708229-d5c7-453e-9f22-a18eb3e229fd · outbound
This paper cites Lund, Two theorems on point-flat incidences,Computational Geometry92(2021), Paper No.
On subsets of lattice cubes avoiding affine and spherical degeneracies Lund, Two theorems on point-flat incidences,Computational Geometry92(2021), Paper No
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.116415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 71f36bf5-5bcc-4be7-8bf9-c6991824e5bd · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.106102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e5954949-8a54-40fb-aedf-7154944299f2 · outbound
This paper cites P´ or and D.
On subsets of lattice cubes avoiding affine and spherical degeneracies P´ or and D
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.096029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation acda46f9-9e69-4c8b-b129-12fb5d4463f4 · outbound
This paper cites Pudl´ ak and V.
On subsets of lattice cubes avoiding affine and spherical degeneracies Pudl´ ak and V
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.085852Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fb097eab-13f7-43da-80bc-a258fde382d5 · outbound
This paper cites Sheffer, Lower bounds for incidences with hypersurfaces,Discrete Analysis(2016), Paper No.
On subsets of lattice cubes avoiding affine and spherical degeneracies Sheffer, Lower bounds for incidences with hypersurfaces,Discrete Analysis(2016), Paper No
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.075878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 123550d6-d1b0-42f7-8e15-8c0d17979370 · outbound
This paper cites an unresolved cited work.
On subsets of lattice cubes avoiding affine and spherical degeneracies Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-04T23:02:21.064509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation cb89776e-374c-4a53-8e68-7cd1f99dbc8f · outbound
This paper cites Sudakov and I.
On subsets of lattice cubes avoiding affine and spherical degeneracies Sudakov and I
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.054273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 71b0b24d-8f36-4a39-b1dd-c1b90d4aaf12 · outbound
This paper cites A note on the no-$(d+2)$-on-a-sphere problem.
On subsets of lattice cubes avoiding affine and spherical degeneracies A note on the no-$(d+2)$-on-a-sphere problem
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:02:20.906410Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0f1a400-3c47-4c33-848c-632f934b0961 · outbound
This paper cites Suk and J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Suk and J
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.042657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 63dfab4f-8e1c-4fd4-8bfb-94b7a5b3825a · outbound
This paper cites Tikhomirov, Singularity of random Bernoulli matrices,Ann.
On subsets of lattice cubes avoiding affine and spherical degeneracies Tikhomirov, Singularity of random Bernoulli matrices,Ann
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.032170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 76862e30-1f5a-4768-b039-3b4abd905d16 · outbound
This paper cites Thiele, Geometric selection problems and hypergraphs, PhD thesis, Institut f¨ ur Mathematik II, Freie Universit¨ at Berlin, Germany, 1995.
On subsets of lattice cubes avoiding affine and spherical degeneracies Thiele, Geometric selection problems and hypergraphs, PhD thesis, Institut f¨ ur Mathematik II, Freie Universit¨ at Berlin, Germany, 1995
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.021642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0eaa765d-147b-4d29-af21-f31137c5627a · outbound
This paper cites Thiele, The no-four-on-circle problem,J.
On subsets of lattice cubes avoiding affine and spherical degeneracies Thiele, The no-four-on-circle problem,J
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-04T23:02:21.011385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation 301d1165-02d0-4015-a143-1b75f213f445 · inbound
Mathematical exploration and discovery at scale cites this paper.
Mathematical exploration and discovery at scale On subsets of lattice cubes avoiding affine and spherical degeneracies
Reference 142
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T01:20:34.605528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0988ac72-a94a-4dce-9748-def633e8c3af · inbound
Sets with Few Subset Sums cites this paper.
Sets with Few Subset Sums On subsets of lattice cubes avoiding affine and spherical degeneracies
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T18:31:07.156188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c0d3cd23-7c02-42c9-b91b-c6abf8aaefc8 · inbound
A note on the extensible no-three-in-line problem cites this paper.
A note on the extensible no-three-in-line problem On subsets of lattice cubes avoiding affine and spherical degeneracies
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T04:35:59.025297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ee2a43fe-1f5b-4b4b-a803-290c7ca0f8e8 · inbound
No-$(k+1)$-in-line problem for $k \geqslant 3$ cites this paper.
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 2026-08-10T06:31:04.303077+00:00.