{"as_of":"2026-08-07T17:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:791a07a05574c8330d7850b1e48bc6b924211433f28f773f71aafe1d18651ffa","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-07T21:25:11.018193Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.05255/citation-record","integrity":"/paper/2607.05255/integrity","json":"/paper/2607.05255/citation-record.json","paper":"/paper/2607.05255"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.412862Z","title":"On a hypergraph matching problem.Graphs Combin., 21(4):377–384, 2005","venue":null,"work_id":"f9a8c78a-2425-4066-a484-00e4eea91bd0","year":2005},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:cf7e5972995ef2a2b43bd33a6598f350b007a4c7114c9068f6432592834b115c","observation_id":"277a859f-100d-41cd-9ee0-62a4e20654ac","resolution":{"observed_at":"2026-07-07T21:34:09.414066Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.443969Z","title":"Ball and J","venue":null,"work_id":"c9ef55df-0162-4efb-9785-efd8139e5f58","year":2005},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:8a9e0bf4ecca06c0e954fc07ca90b691de5daf9d2d4f634efc9c571607f3746d","observation_id":"62d106ea-d4c0-4d93-a314-fdc6736fbca2","resolution":{"observed_at":"2026-07-07T21:34:09.445182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.416956Z","title":"Primitive points in rational polygons.Canad","venue":null,"work_id":"f5a2f737-9cdc-489c-a3f7-97e5474765c7","year":2020},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:50f146f777b6ee29e1f47e1eee4cf9a34812a2996f19213875deb168b7550148","observation_id":"a824c5ed-10ed-4523-b2ff-091f627bf428","resolution":{"observed_at":"2026-07-07T21:34:09.418204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.08083","last_updated":"2021-09-16T16:16:56Z","snapshot_observed_at":"2026-08-05T10:36:52.364139Z","submitted_at":"2021-09-16T16:16:56Z","title":"The $n$-queens problem","version":1},"cited_work":{"arxiv_id":"2109.08083","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.08083","snapshot_observed_at":"2026-07-07T21:34:09.292272Z","title":"The n-queens problem","venue":"math.CO","work_id":"d7965ce3-f16b-4e30-816f-bf3bd64d6e73","year":2021},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2109.08083","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:d1ec3b8fb024b2f1a06a04a7ee3f305401802dc9e47b45d03d28a52bfd82df5d","observation_id":"f6910167-834a-473c-986e-477e1db9b875","resolution":{"observed_at":"2026-07-07T21:34:09.293593Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.465129Z","title":"On counting point-hyperplane incidences.Comput","venue":null,"work_id":"b7f7e2a0-07b2-444c-a3f0-5168b251b274","year":2003},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:f4a0972b373df2a42fd8f5b2bd96bb85e4cc1c6b231cec48555fcf449b3b992b","observation_id":"c6b05f3b-a7d4-422e-b2d9-ce0d5acf2550","resolution":{"observed_at":"2026-07-07T21:34:09.466328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.449719Z","title":null,"venue":null,"work_id":"8acbfc81-99ce-423e-ad6a-12600740f485","year":2005},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:ca522851b6f4dab8eb0fd124a98d7a60d8238a25cf4697e1b8ca180dff424c49","observation_id":"c5a49a1c-20d4-445e-b937-68de1c299375","resolution":{"observed_at":"2026-07-07T21:34:09.451831Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.445771Z","title":"Private communication","venue":null,"work_id":"c84eefde-4b98-43ef-9e0b-f7294875ea0d","year":null},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:456941ca6ae8a7cf7544f69be48dd638b212fd3571259acf54e9a0083b0cbe4a","observation_id":"e905ed50-d1bb-4f4e-ae35-39bf39306fe4","resolution":{"observed_at":"2026-07-07T21:34:09.448990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.442081Z","title":"Thresholds for (n, q,2)-Steiner systems via refined absorption.Mathematical Proceedings of the Cambridge Philosophical Society, pages 1–20, 2026","venue":null,"work_id":"981f92ee-63d4-4a88-b497-55d6a9c6faf6","year":2026},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:fb5fe7c9f3a9734dab0f84931c095c0d81bd82160e841d7dc114774daaf4fd8c","observation_id":"e5928afe-1116-4047-a129-b101a12e0469","resolution":{"observed_at":"2026-07-07T21:34:09.443358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.18113","last_updated":"2025-06-22T17:52:05Z","snapshot_observed_at":"2026-08-06T23:20:57.312778Z","submitted_at":"2025-06-22T17:52:05Z","title":"Large grid subsets without many cospherical points","version":1},"cited_work":{"arxiv_id":"2506.18113","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.18113","snapshot_observed_at":"2026-07-07T21:34:09.294879Z","title":"Large grid subsets without many cospherical points","venue":"math.CO","work_id":"e0466cb6-dc4a-4a60-bf96-c1e24a1e37f7","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2506.18113","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:5035c7cd93a0b6651fe4b0f8b92cd26183d1e07d60b2466e8bebc8f4be2f1933","observation_id":"cfb06ce2-78ea-46fc-b030-87038366220e","resolution":{"observed_at":"2026-07-07T21:34:09.296238Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.440434Z","title":null,"venue":null,"work_id":"36eb14d2-db48-445d-9998-da02cf948fd3","year":1917},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:7ff715b58f9358ce162cb96fa3c406686a85fd32be89ceb67207e4e87c8f1c98","observation_id":"4a172027-7cf3-47f5-a249-9ee5a54599ac","resolution":{"observed_at":"2026-07-07T21:34:09.441524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.472377Z","title":"Subspace evasive sets","venue":null,"work_id":"195c8bff-fa2a-49ed-8d71-054cf789b670","year":2012},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:614feea4f56b3e1fec47bec6c5e7ce746ac4eb4e7df28d5f54e6e4320510331e","observation_id":"baf8dae3-4c0c-44e4-9367-e4e368a00397","resolution":{"observed_at":"2026-07-07T21:34:09.473437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.420571Z","title":"Pseudorandom hypergraph matchings.Combin","venue":null,"work_id":"6bb49e59-b312-4cf5-ba53-66dbbd4c7689","year":2020},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:d5d946945d2de2be62c53b73db98b947b38b1d60492d54393979a734321674a9","observation_id":"53eaf50b-f3c0-4b1d-a7f9-5f2d7219d212","resolution":{"observed_at":"2026-07-07T21:34:09.421883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.468954Z","title":"Cambridge University Press, 2018","venue":null,"work_id":"0fba08d7-7a35-4c2d-93e5-224247440268","year":2018},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:8d82de967b59e1ee17397dd1759d17f6371f20d9fb3006affad339bc2794fa3d","observation_id":"aa23aab9-aef0-474b-b39f-7bc7ebfb5815","resolution":{"observed_at":"2026-07-07T21:34:09.470062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.418789Z","title":"On subsets of lattice cubes avoiding affine and spherical degeneracies,","venue":null,"work_id":"386e8673-586f-4773-a08e-4a504209fa90","year":null},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:e28c55e664b3a088c0fa3a4cd3cb747f9e75f110e308ad3814115acc145668fd","observation_id":"956d6e3a-4f81-4c28-8a32-29d081be1d89","resolution":{"observed_at":"2026-07-07T21:34:09.419931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.06935","last_updated":"2025-09-08T17:47:38Z","snapshot_observed_at":"2026-08-04T23:02:19.981697Z","submitted_at":"2025-09-08T17:47:38Z","title":"On subsets of lattice cubes avoiding affine and spherical degeneracies","version":1},"cited_work":{"arxiv_id":"2509.06935","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.06935","snapshot_observed_at":"2026-07-07T21:34:09.282328Z","title":"On subsets of lattice cubes avoiding affine and spherical degeneracies","venue":"math.CO","work_id":"1b6b3366-e707-4579-9159-006beb721d4a","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2509.06935","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:b06590a9aad14a362ee6a6cf19e0059f578fdd110c6232de4d7ac2229733e7b3","observation_id":"ee2a43fe-1f5b-4b4b-a803-290c7ca0f8e8","resolution":{"observed_at":"2026-07-07T21:34:09.284144Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.411138Z","title":"Conflict-free hypergraph matchings.J","venue":null,"work_id":"6732344c-8f69-4ced-88f6-029fcdf225e1","year":2024},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:b22ed6004d2a275550d3cee0c33567b843d30dbdbcd7efc6880959e056adb2b0","observation_id":"c53b6fea-54d3-4e93-94c6-3997b173e436","resolution":{"observed_at":"2026-07-07T21:34:09.412325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.17743","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.300473Z","title":"Grebennikov and M","venue":null,"work_id":"2a62e006-652f-4609-a1bc-c3fa8fe83c19","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:455edcacc50350ff3b6f06c8efdb256afa69b44523e19f59740dbdd1f915f88b","observation_id":"6c45095f-9fef-4b74-9c3c-1e161b6d9b14","resolution":{"observed_at":"2026-07-07T21:34:09.302181Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.459961Z","title":"100 open problems","venue":null,"work_id":"b0f3e7f3-6191-4978-a408-c81cf5ccc1c0","year":null},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:5bcdf49e3fa86d9e35d28a63afe842be8eecc33d214d8d19ea2e7f5100fa343a","observation_id":"b6f546dd-3486-4ebb-854b-a8ddc0913a44","resolution":{"observed_at":"2026-07-07T21:34:09.461044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.452483Z","title":"Guy.Unsolved Problems in Number Theory, volume 1 ofUnsolved Problems in Intuitive Mathematics","venue":null,"work_id":"a8986079-90a8-4110-a591-4411b7f0db3b","year":1981},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:1aeb1b292935ded6214bbbffe1bedf1c073d147e9a2f1d3b129600c9a6db1314","observation_id":"d1174291-a06f-4bac-a79b-63bfcf7525f2","resolution":{"observed_at":"2026-07-07T21:34:09.453848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.454482Z","title":"Guy and Patrick A","venue":null,"work_id":"23f01fab-c311-4303-b9ef-9f258ee738e9","year":1968},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:91b931b4f232d0c8fbd7966917a42821f15b53b8acb0d1591fa7982cb3ec185b","observation_id":"c09c114a-bacf-4bfa-b7da-443403df756c","resolution":{"observed_at":"2026-07-07T21:34:09.455639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.461620Z","title":null,"venue":null,"work_id":"43962477-5a9c-4a37-80ce-4d9031f821cc","year":1975},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:6ff9993d3481998512b58cad21b787499f78bad55234b92f485cf9f8a0d5d3ae","observation_id":"67604a92-5ba5-4c1e-9519-7cd84514f8dc","resolution":{"observed_at":"2026-07-07T21:34:09.462686Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.424529Z","title":null,"venue":null,"work_id":"d747f50c-6649-4f18-af11-dcbd0d8a7378","year":2009},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:2c94f6a624c9fdb1f7e73d8651fd9813fd5fa2db0df8e439e448bec5ba7af600","observation_id":"727c46c7-0e8f-4cf9-aee5-3581596e5376","resolution":{"observed_at":"2026-07-07T21:34:09.425571Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.414588Z","title":"Optimal thresholds for Latin squares, Steiner triple systems, and edge colorings","venue":null,"work_id":"bb030210-c792-4a22-94f1-f763957bbf7a","year":2024},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:196d5deff31d608965d0754a52dea9cf3ab6f460db784fe700e2c1db61ae7dfb","observation_id":"bde3d410-a363-475e-9959-f7558beff89e","resolution":{"observed_at":"2026-07-07T21:34:09.416325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.436483Z","title":"Thresholds for Latin squares and Steiner triple systems: bounds within a logarithmic factor.Trans","venue":null,"work_id":"79920fea-d7ab-4faf-985b-a06478f992a0","year":2023},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:18fe8c9b2ba007c51cb57a2cf20ece4b9005115fe0b6ff26c082f1a5ca16cc7f","observation_id":"f51bdf3d-c761-4903-9e01-3cb57489ade5","resolution":{"observed_at":"2026-07-07T21:34:09.438012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.04397","last_updated":"2022-12-08T16:55:01Z","snapshot_observed_at":"2026-08-07T12:15:47.780916Z","submitted_at":"2022-12-08T16:55:01Z","title":"The optimal edge-colouring threshold","version":1},"cited_work":{"arxiv_id":"2212.04397","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.04397","snapshot_observed_at":"2026-07-07T21:34:09.303480Z","title":"The optimal edge-colouring threshold","venue":"math.CO","work_id":"5186d899-b208-4145-965a-ff589611fdc3","year":2022},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2212.04397","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:bbbcb180d1e622ead303ce136866dcd8bac6aed8c7c089b8042c74e0beee2399","observation_id":"b730b1cc-65a4-4018-a36f-2de9736c3ffc","resolution":{"observed_at":"2026-07-07T21:34:09.304925Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.07632","last_updated":"2026-07-21T16:06:36Z","snapshot_observed_at":"2026-08-06T10:04:07.819950Z","submitted_at":"2025-08-11T05:25:37Z","title":"Randomised algebraic constructions for the no-$(k+1)$-in-line problem","version":2},"cited_work":{"arxiv_id":"2508.07632","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.07632","snapshot_observed_at":"2026-07-07T21:34:09.288918Z","title":"Kov´ acs, Z.L","venue":"math.CO","work_id":"09309fb5-aea1-42d6-840a-2eab51d1583d","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2508.07632","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:3765b7c8077f8516fe816b9978b2931956861e62bfc7e1c9a94a9c8bce255018","observation_id":"9bfeb14c-ec50-4b2a-955d-8be27e3a5e13","resolution":{"observed_at":"2026-07-07T21:34:09.290858Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-07-06T20:29:21.568793Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"cited_work":{"arxiv_id":"2502.00176","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.00176","snapshot_observed_at":"2026-07-07T21:34:09.297452Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","venue":"math.CO","work_id":"79c05ccc-b4f4-4bff-8fb8-77be372578d9","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2502.00176","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:6f98cf14c1180b5ee1d1d04ec0ce487fb451a9ebef1c8183539a654873343d3e","observation_id":"38353f86-fec8-42c0-bb69-4baf2eda52d6","resolution":{"observed_at":"2026-07-07T21:34:09.299195Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.422489Z","title":"Extensions of the no-three-in-line problem","venue":null,"work_id":"26a0de6b-b9d3-4210-ae0b-be9525154b99","year":2012},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:b2c4bad563618362e4038801236cce72e807cdece157aba6ad3db4737e322b48","observation_id":"37bcb79a-cfb7-4f6a-8bf9-efa41357e15a","resolution":{"observed_at":"2026-07-07T21:34:09.423656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.463308Z","title":"Near-optimal list colorings.Random Structures & Algorithms, 17(3–4):376–402, 2000","venue":null,"work_id":"df94716a-28df-4fa4-8170-f5fe46cbe849","year":2000},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:a62e751012f68d759c4d8513dc992a23ed2d37527cfeeb3953a5ab0acedd5762","observation_id":"52e019ed-b5c9-4547-9d60-b8ef2496b96d","resolution":{"observed_at":"2026-07-07T21:34:09.464548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.13131","last_updated":"2025-06-16T06:37:18Z","snapshot_observed_at":"2026-08-07T04:21:43.190472Z","submitted_at":"2025-06-16T06:37:18Z","title":"AlphaEvolve: A coding agent for scientific and algorithmic discovery","version":1},"cited_work":{"arxiv_id":"2506.13131","doi":"10.1016/j.shpsa.2017.03.005","metadata_source":"pith","pith_arxiv_id":"2506.13131","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"AlphaEvolve: A coding agent for scientific and algorithmic discovery","venue":"cs.AI","work_id":"76a0f850-d490-4e4f-ab98-8d25df82cd23","year":2025},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"cited_paper":"/paper/2506.13131","citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:4b1d4b5665575f4a7a3298b60ac7c6af5bb1a719eaa18bb7a38bce7bfbff5064","observation_id":"d9cf9c50-ce62-4ce0-8a88-8da49d642558","resolution":{"observed_at":"2026-07-07T21:34:09.287541Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.458119Z","title":"Asymptotic behavior of the chromatic index for hypergraphs.J","venue":null,"work_id":"92b87558-98c1-406a-ab1b-62c6acd4c4cc","year":1989},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:20e4d60aae951ab7673d80e0dc313048f2d6966bdc680cea93cd40f7f9b042bf","observation_id":"c98307ba-712e-49f7-ad1c-71fd88aae093","resolution":{"observed_at":"2026-07-07T21:34:09.459327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.07751","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.306110Z","title":"Prellberg, Constraint satisfaction programming for the no-three-in-line problem, arXiv:2602.07751 (2026)","venue":null,"work_id":"b1dbdea1-24ee-4f45-9062-428af098134d","year":2026},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:11c3b66b94bcd866e8af57907ecf5e3c72a118af2a73cf7ebc30358a53b57aec","observation_id":"670e5715-5a60-46e9-b8fe-810fe4b956c6","resolution":{"observed_at":"2026-07-07T21:34:09.307863Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.429830Z","title":null,"venue":null,"work_id":"23724023-f254-41fb-9893-22ef6c42c58d","year":1951},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:4937a4e2a880188151a712aa40390d4494167140e619cc7ce1d4c8ca0b9bce6e","observation_id":"eb0b0756-5cf9-4738-8d10-1c2fa8c3914f","resolution":{"observed_at":"2026-07-07T21:34:09.430875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.432990Z","title":"Threshold for Steiner triple systems.Geom","venue":null,"work_id":"12ff6f48-f368-4657-9841-3289a6435359","year":2023},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:b26b9f4613eca1f338a183f48b4dce4a283de796a57507a38ea6880d58adbeac","observation_id":"7f4dfe36-6089-4455-b97e-670516781ca1","resolution":{"observed_at":"2026-07-07T21:34:09.435916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.470630Z","title":null,"venue":null,"work_id":"6513f692-2ccc-49d8-9e03-166020f2d3f2","year":1968},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:e0f1b49c595e2f956f276f9b68a587cf279784a192357e107292b895b18a1093","observation_id":"9bca1630-d84c-438b-bf7d-2e66c023b55c","resolution":{"observed_at":"2026-07-07T21:34:09.471808Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.431408Z","title":"The number ofn-queens configurations.Adv","venue":null,"work_id":"e72e353a-1836-4a94-aa87-dcc52fb02a9d","year":2023},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:0ec9d25d56ad273953df772e63663a634173620a527aca158ab32fae80d36a24","observation_id":"2717d694-1673-4855-875e-1be697c89380","resolution":{"observed_at":"2026-07-07T21:34:09.432465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.456274Z","title":"A lower bound for then-queens problem","venue":null,"work_id":"bc8e9fb8-6a04-45fb-9f52-5cf6a24d8632","year":2022},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:57d61b979e2d7261d110889fb0ac6fb7439e947b058bec172e6d4b32def1b975","observation_id":"ee6f9f82-44ab-4b2f-a847-495e81fb4296","resolution":{"observed_at":"2026-07-07T21:34:09.457521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.428001Z","title":"Evasive sets, covering by subspaces, and point-hyperplane incidences.Discrete Comput","venue":null,"work_id":"3229279e-ab1c-4b03-aafa-89f231716758","year":2024},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:12f4f70133a45d72f4c132b53aa09e771ec735d2481994768ab249ff7e19bbd9","observation_id":"bff9b24c-4f3f-4f1d-a416-fdd147fd3993","resolution":{"observed_at":"2026-07-07T21:34:09.429245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.426196Z","title":"On higher dimensional point sets in general position.Combin","venue":null,"work_id":"0b9b3f69-48a9-4ae4-aba6-34370f080812","year":2026},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:c56e67c9c70d85e32e04b5b0680f39e2c4d6557e9e1814f613a581020bed61eb","observation_id":"dd800489-c72f-410b-8c0e-497e319176a3","resolution":{"observed_at":"2026-07-07T21:34:09.427447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.438559Z","title":"PhD thesis, Institut f¨ ur Mathematik II, Freie Universit¨ at Berlin, Berlin, 1995","venue":null,"work_id":"dafc7a55-204d-4dd7-9bf7-b023077d306e","year":1995},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:7166f4fbb3f2ee94994c9a762a24f53f86f0b75a8fb4315b6e1762b956097b06","observation_id":"86deddb5-2fb9-40e8-8aab-4fd855511954","resolution":{"observed_at":"2026-07-07T21:34:09.439841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.409397Z","title":"The no-four-on-circle problem.Journal of Combinatorial Theory, Series A, 71(2):332–334, 1995","venue":null,"work_id":"8a0b572b-22cd-4e0b-82cd-a75a1f914398","year":1995},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:2405706812a259c88159d0c33a501e93f032f379b30a446aea05b92c359c0f84","observation_id":"2854fd41-6d16-41f1-a88d-8abd00e05322","resolution":{"observed_at":"2026-07-07T21:34:09.410610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T21:34:09.466963Z","title":"Lipschitz class, narrow class, and counting lattice points.Proceedings of the American Mathematical Society, 140(2):677–689, 2012","venue":null,"work_id":"2f286208-6c27-4373-93ac-7c80c01ab0e7","year":2012},"citing_paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-07T21:25:11.018193Z"},"links":{"citing_paper":"/paper/2607.05255"},"observation_digest":"sha256:b174b62244c94c14788acf9cea53e5e4c6b2490d3c6fcdaaf7dd5d5b40a33015","observation_id":"12e5b43b-1a0a-405a-be67-e2d9ed1b3b82","resolution":{"observed_at":"2026-07-07T21:34:09.468374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.05255","last_updated":"2026-07-06T16:01:49Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-02T01:31:20.321461Z","submitted_at":"2026-07-06T16:01:49Z","title":"No-$(k+1)$-in-line problem for $k \\geqslant 3$"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":6,"verified_exact":7,"verified_fuzzy":27},"total_outbound_references":42},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"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."}