{"as_of":"2026-08-13T23:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:32dca1180e5f8e051e120eee3767c94895413a2890875cc2bdac35009ad09a46","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T20:12:02.064076Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-07T21:25:11.018193Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-07T21:34:09.297452Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","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":"2606.02843","last_updated":"2026-06-01T20:07:01Z","snapshot_observed_at":"2026-08-02T05:17:12.349642Z","submitted_at":"2026-06-01T20:07:01Z","title":"The extensible no-$(k(n)+1)$-in-line problem","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-28T13:33:32.727981Z"},"links":{"cited_paper":"/paper/2502.00176","citing_paper":"/paper/2606.02843"},"observation_digest":"sha256:3b96fe9ab419b93b8d6cc627a908ac1f29133d6ea4d8c899334572a6e0792d19","observation_id":"afdb14d3-1115-4399-8b01-fdd2e12fbf49","resolution":{"observed_at":"2026-07-02T00:16:23.857012Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","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":"sha256:72f96445b01f09164c4335b199144eb30693da8240105b79215d96e15f955ad9","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 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.00176/citation-record","integrity":"/paper/2502.00176/integrity","json":"/paper/2502.00176/citation-record.json","paper":"/paper/2502.00176"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:12:02.407579Z","title":"Aichholzer, D","venue":null,"work_id":"812639da-7c10-401d-84ba-46fa81fec241","year":2023},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.737779Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:9e839b2b7a3d733f0b25aab27cbdbe90dec6832a522861737ef92ab3bc90c4ed","observation_id":"971c90ff-11af-4c15-8e66-08f52d9d55a4","resolution":{"observed_at":"2026-08-09T20:12:02.410385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.399379Z","title":null,"venue":null,"work_id":"0f9ce451-4170-48c2-97e5-4f10a7dca86a","year":1979},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.760520Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:a0fa98e2ec72b26b2aef486f584aed00e3f38d2bcec5fda1455147be82cc2a6e","observation_id":"ff8346c7-8f0e-4187-bd3d-6d0bee8f992d","resolution":{"observed_at":"2026-08-09T20:12:02.402198Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.390734Z","title":null,"venue":null,"work_id":"98165765-c60d-40a1-88e6-1fa8b35f9f66","year":1997},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.787687Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:72a1b9f375527334109d9180992a4ab12d065c6964d919cb895d378a04dcf548","observation_id":"5b30c182-23a0-4fea-b4ac-469e7ca3c543","resolution":{"observed_at":"2026-08-09T20:12:02.393933Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.380834Z","title":"Ball and J","venue":null,"work_id":"53d54cdd-84c4-4eeb-b4fc-95f682db8843","year":2005},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.812486Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:098513627a17d29a4aa4823f12e3ec13776dfc4ad695f63463e46fd27f50e0db","observation_id":"fcfc94f5-5142-4b0d-9e20-90bfdcb8dc81","resolution":{"observed_at":"2026-08-09T20:12:02.384224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.371159Z","title":null,"venue":null,"work_id":"7a78e29c-21ca-413f-8242-e83fa7615f2e","year":1947},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.816230Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:aab73fdb09fa40562956497b7ab67ab2747eb0b3ade11155569d9be765e26b8c","observation_id":"ab70d17c-c5ca-4b40-bc44-684b8d44e85e","resolution":{"observed_at":"2026-08-09T20:12:02.374938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.362699Z","title":"Brass, W","venue":null,"work_id":"724896eb-af1e-4ede-b540-e753ea121ed7","year":2005},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.820481Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:7cf6209425b709d94d8e166018d2d68e3d30db2c75866d5cd55651ab423d0dfb","observation_id":"f212afe0-a8a7-43b5-a5a8-e1a4a5547c89","resolution":{"observed_at":"2026-08-09T20:12:02.365367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.354856Z","title":null,"venue":null,"work_id":"83038e16-089b-4697-8ce6-45380249db0c","year":1969},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.824837Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:4ef66a01079e901e9b6ea941ce2d6548ae1372803eb67054969a45b2a2b60f14","observation_id":"4d74dc42-bbd6-45c0-9fb7-1ea6c419a1bf","resolution":{"observed_at":"2026-08-09T20:12:02.357498Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.346139Z","title":null,"venue":null,"work_id":"a6c6431d-7986-47b1-a95b-145d933d1fed","year":1917},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.828661Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:a479692d5d2a68d99b2a2089680f4f11324da85d4762fc5e4eafd8311af8c556","observation_id":"54eec69b-a8f0-4f54-a687-f5511288e2c6","resolution":{"observed_at":"2026-08-09T20:12:02.348787Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.337905Z","title":"Eppstein","venue":null,"work_id":"8178a976-7758-473f-b31a-755f69072620","year":2018},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.832593Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:ec9b34219c2094083a32c16707e914e1e51bcb8173c0f50bafe185a20293f9d3","observation_id":"350d96e4-84d2-4e8d-876d-cd65d9d639eb","resolution":{"observed_at":"2026-08-09T20:12:02.340734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.329500Z","title":"Flammenkamp","venue":null,"work_id":"a518c777-2daf-4df6-9a6b-67813063926c","year":1998},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.836845Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:3ab77b62beb5ee505956875c4f4e781b30d015c8ba6c129b721e0e2af7b46ce3","observation_id":"634b2858-a1ad-473f-aa44-186ac4bbdd85","resolution":{"observed_at":"2026-08-09T20:12:02.332639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.319836Z","title":null,"venue":null,"work_id":"bad64577-e927-41e8-89dd-37e0f28b9ecc","year":null},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.840703Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:8592775a350e1eb5951021ad031b08f51c5d804580c7ac729a266c14b25ba223","observation_id":"010d764a-dfbe-46c0-b318-36178f1b6ed2","resolution":{"observed_at":"2026-08-09T20:12:02.323409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.310707Z","title":null,"venue":null,"work_id":"0f9cd5a6-5f75-4f4e-94ee-1ad43cdeaf8d","year":null},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.843945Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:d80a4be6b47135fcabdbb964c4ac600aaa37be2a73cfad7d6ffa8db47140079b","observation_id":"b423efdf-9414-4a8b-9ed5-8ed9253c10cf","resolution":{"observed_at":"2026-08-09T20:12:02.314208Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.301055Z","title":"Greenhill and B","venue":null,"work_id":"ca427e14-6b1d-4985-9e16-fdc729ef41a0","year":2009},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.939944Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:59481b800dac330f598c36b123ec87101867398d38c0470a71a545bd5993ee44","observation_id":"872e43bc-17be-4a13-994f-874047e78b9a","resolution":{"observed_at":"2026-08-09T20:12:02.304736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.291211Z","title":null,"venue":null,"work_id":"d9347fcd-e4c1-4e1b-b0d5-c4100d39c85a","year":1968},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.943907Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:5ecf0d422f918f9527b9a734ddf6089dd004bd3122b82c52f8f7bd9a11330189","observation_id":"cd45dc64-ddeb-43db-81a6-2e1e489ed44a","resolution":{"observed_at":"2026-08-09T20:12:02.294828Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.281977Z","title":null,"venue":null,"work_id":"555c23b2-c784-481f-8114-971271ffeafd","year":1975},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.947516Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:8937daeeb90eedfab36990d6bb1e6a5a1d53ecdabf425b3ad7053458eed25cc0","observation_id":"323c48cd-7487-493d-8767-8a212aca77f6","resolution":{"observed_at":"2026-08-09T20:12:02.284867Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.273078Z","title":"Isaev and B","venue":null,"work_id":"f058d8bb-2d49-4874-9906-0a326f4e1b28","year":2018},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.950788Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:3595af09500c589d56adacaddf2db54cdca6d4de7cf4fbdcb21110a5dc461af4","observation_id":"ef5d6ade-c602-4250-b74c-16ede345e9db","resolution":{"observed_at":"2026-08-09T20:12:02.275876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.263800Z","title":"Klimoˇ sov´ a, C","venue":null,"work_id":"703a1ce8-d7e1-4f4e-a0f8-12dced3a7edd","year":2023},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.953708Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:5dc37bf3da02cf5186d87b6c2c706e46f73cf0700984d6cd10b79d300f0af272","observation_id":"219e4506-d9ac-405d-ba62-70998ce2daee","resolution":{"observed_at":"2026-08-09T20:12:02.267502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.253397Z","title":null,"venue":null,"work_id":"0d1e7fdd-d332-4c51-9613-4e578d618f0a","year":2008},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.956828Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:c72e93d74fb98be029d4d3d02135dac17b38527aa11a2103b425b383f3f87c03","observation_id":"0a9ac89b-5a92-4a1c-b1ce-9147bf6d5e7e","resolution":{"observed_at":"2026-08-09T20:12:02.257209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.242399Z","title":"Liebenau and N","venue":null,"work_id":"0397bc56-f830-4ea4-96d8-3f975636fdd6","year":2023},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.959816Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:082c710b1a9c595ed2ae5019029feddfe6c3f5eebcdf24b8eab3a93a6437c98f","observation_id":"b1cfc41a-7b7d-4695-8e00-71869a46023a","resolution":{"observed_at":"2026-08-09T20:12:02.246063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1403.7739","last_updated":"2014-03-30T11:43:37Z","snapshot_observed_at":"2026-07-06T03:39:50.187953Z","submitted_at":"2014-03-30T11:43:37Z","title":"Chernoff's Inequality - A very elementary proof","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.7739","snapshot_observed_at":"2026-08-09T20:12:01.962787Z","title":"Linial and Z","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.962787Z"},"links":{"cited_paper":"/paper/1403.7739","citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:3077896e668cb7ba0d0b3c447574379bbe95dbcf5460335b761f69532a51a10b","observation_id":"0ce919fc-a9c8-4418-8834-08a3a2fe90d7","resolution":{"observed_at":"2026-08-09T20:12:01.962787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:12:02.232336Z","title":null,"venue":null,"work_id":"2095a303-5b80-4da5-8102-9b5e21625895","year":2010},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.966357Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:f15230488868d6bfe00ec7204ae4c2a3ebc0a8b3314c2d5fd7aafb5aab45a6b2","observation_id":"3804b70d-49c7-4f82-a45f-6e3fe2a6b1f7","resolution":{"observed_at":"2026-08-09T20:12:02.235363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.222708Z","title":null,"venue":null,"work_id":"a61443c7-21d9-4bd4-9ba1-5ff1ad00a4c4","year":2023},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.969227Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:8e244178a187d18317080db5e048ff4fc97190e75e6431109512e1cae09d122c","observation_id":"cf58b6d7-cd18-445a-814b-3b4e8184b5fd","resolution":{"observed_at":"2026-08-09T20:12:02.225931Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.192497Z","title":"Pach and G","venue":null,"work_id":"a30fe356-30db-405c-b943-166ef41a84a2","year":1997},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.972524Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:c1ec8ea92d9f6106a13c5d8648dd1cfbc1f7c167bbabaf70cf017cdbd47910d0","observation_id":"f0e7ae6c-ab52-4e77-b908-c6f2c00feb03","resolution":{"observed_at":"2026-08-09T20:12:02.196249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.181552Z","title":"P´ or and D","venue":null,"work_id":"664970ba-fb2a-4093-a68d-19ecef1066e2","year":2007},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:01.984337Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:087a73f1938b4b27e5ed69c6fafdd65afb4279ee9672e726c8a13cdb24f65e43","observation_id":"98080192-6954-4833-899e-16d66e5271bf","resolution":{"observed_at":"2026-08-09T20:12:02.185213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.170380Z","title":null,"venue":null,"work_id":"ab465f9c-40d5-4673-934f-d93535aedac4","year":1951},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:02.002890Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:da97c66f1ec1b5bef2eb7b6ca0614da03976899fbabcafebfd9c53abeb77f15c","observation_id":"5c67f6fb-c0db-4867-8e62-d8b3f2ace37a","resolution":{"observed_at":"2026-08-09T20:12:02.173615Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:12:02.159740Z","title":null,"venue":null,"work_id":"5ad4183b-45ba-4d26-95a8-cfcfe54696ef","year":1955},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:02.023604Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:46a80a7c71920506b1282fba8e0e8c3fe3dfcb707fb9c62d7d64ab6ab95e7054","observation_id":"6c1874ec-ee98-49c7-ab56-b43c19b94b4d","resolution":{"observed_at":"2026-08-09T20:12:02.163146Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:12:02.044767Z","title":null,"venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:02.044767Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:ee207078783049c420e01bba5800fd3342bed9cd6d0feb6d6764362757afea87","observation_id":"1369affe-3956-45b7-a2cc-dfefb505b1de","resolution":{"observed_at":"2026-08-09T20:12:02.044767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:12:02.115611Z","title":"Szemer´ edi and W","venue":null,"work_id":"2966f86b-b885-41e4-825a-6b4af8eb618b","year":1983},"citing_paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T20:12:02.064076Z"},"links":{"citing_paper":"/paper/2502.00176"},"observation_digest":"sha256:dc26228e9e8fa321f7a781c3077b809bc81a1e0928e7611c15b52ae72f11a5a9","observation_id":"eb5f2920-1ffa-4674-9a58-f9f04e733df5","resolution":{"observed_at":"2026-08-09T20:12:02.146202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.00176","last_updated":"2025-01-31T21:40:16Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-09T19:53:22.407283Z","submitted_at":"2025-01-31T21:40:16Z","title":"Settling the no-$(k+1)$-in-line problem when $k$ is not small"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":0,"verified_fuzzy":12},"total_outbound_references":28},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2502.00176."}