{"as_of":"2026-08-12T21:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6727afc33d9d4d2630a797920491390c209ec22547e46ff4243d4b4c49907872","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":"2026-08-11T12:21:56.121758Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-04T08:31:20.420952Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T13:02:44.253281Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"cited_work":{"arxiv_id":"2412.14427","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.14427","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2412.14427 , year=","venue":null,"work_id":"1ee99aa7-5d21-4c84-bcf2-4bd0fbc0e13e","year":null},"citing_paper":{"arxiv_id":"2502.18864","last_updated":"2025-02-26T06:17:13Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-02-26T06:17:13Z","title":"Towards an AI co-scientist","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-11T13:02:43.571234Z"},"links":{"cited_paper":"/paper/2412.14427","citing_paper":"/paper/2502.18864"},"observation_digest":"sha256:f6d79c9f7c27b67978e8094101439fb44ae6db0c53fc57e8ba96b7af6c231a9c","observation_id":"2f57e421-aa24-4a45-98ad-290cb4313fd2","resolution":{"observed_at":"2026-05-11T13:02:44.262307Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14427","snapshot_observed_at":"2026-08-04T08:31:20.420952Z","title":"arXiv preprint","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.20454","last_updated":"2026-06-18T15:08:42Z","snapshot_observed_at":"2026-08-11T15:41:34.949267Z","submitted_at":"2025-10-23T11:41:45Z","title":"Capturing Intransitive Dominance in Tennis Forecasting: A Graph Neural Network Approach","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-04T08:31:20.420952Z"},"links":{"cited_paper":"/paper/2412.14427","citing_paper":"/paper/2510.20454"},"observation_digest":"sha256:bc5ced9f4aba7fb8d0ab54cdff62f585c69c7c8bda92b1ce3668ca0de29586d9","observation_id":"fd4e2dd8-1469-49a5-b858-62fd2b2aa5d9","resolution":{"observed_at":"2026-08-04T08:31:20.420952Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.14427/citation-record","integrity":"/paper/2412.14427/integrity","json":"/paper/2412.14427/citation-record.json","paper":"/paper/2412.14427"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:55.918296Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.918296Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:185548ce931fa5466fbf57d454ca15aca7386c84c1227a69289cf856ad7cc2de","observation_id":"318eaafb-cf2f-4d5c-83ae-f9257e5d8ef5","resolution":{"observed_at":"2026-08-11T12:21:55.918296Z","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":"2026-08-11T12:21:57.106158Z","title":", Tuyls, K","venue":null,"work_id":"b1c84e8a-c2ab-402f-b2c8-b82a5ea44ad7","year":2018},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.924069Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:30a65f3b0ad074b42964240264b161d8defd5267ea808c84e7345ac7c310af14","observation_id":"bec4b553-2045-4575-bdeb-4a5d850a77df","resolution":{"observed_at":"2026-08-11T12:21:57.111757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2480.2020","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:56.643706Z","title":null,"venue":null,"work_id":"eb714699-8fae-46a0-9b4f-ba0a051d06a6","year":2020},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.929311Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:59c40b545376308afd1a081c67729255e26879ae79bcc9a731254168beee9d1e","observation_id":"0177b407-cd10-41d7-8ac9-1568ca8b73dd","resolution":{"observed_at":"2026-08-11T12:21:56.653229Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.12301","last_updated":"2023-03-06T22:37:08Z","snapshot_observed_at":"2026-08-11T17:14:23.610847Z","submitted_at":"2022-06-21T22:07:06Z","title":"On the Limitations of Elo: Real-World Games, are Transitive, not Additive","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.12301","snapshot_observed_at":"2026-08-11T12:21:55.934730Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.934730Z"},"links":{"cited_paper":"/paper/2206.12301","citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:168e4a3dfb0eed6218d7154afcd1fa5a927d959e00684ab8c0364aaf86661f93","observation_id":"8aacf98d-1471-4864-9d32-079ee1596b76","resolution":{"observed_at":"2026-08-11T12:21:55.934730Z","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":"2026-08-11T12:21:57.087839Z","title":"and Brinkhuis, M","venue":null,"work_id":"1bc653ae-b79c-47e5-80fe-35e66e9c7da8","year":2024},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.941332Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:31981c21f5f25221d1a7325b3bac0dde9db4889ef84efd15542dafd9a0fc5de4","observation_id":"9bdb2100-51d8-492c-8a59-128030952aca","resolution":{"observed_at":"2026-08-11T12:21:57.093096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:57.071913Z","title":null,"venue":null,"work_id":"ac4618cf-d85f-48f4-8b27-39a92af2b7f2","year":2011},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.946661Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:0ae2e328d11d423fc48e33d9d330878d3ec3357954fd0b36965e89deda470304","observation_id":"eba3cffe-e30a-455d-8a98-fe0ba94ece1f","resolution":{"observed_at":"2026-08-11T12:21:57.076820Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:57.055981Z","title":"com (2017)","venue":null,"work_id":"946f2575-8ef7-4070-a784-257c271915ac","year":2017},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.952505Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:22d5c5e2d60716c37bdd3bea7748db0ce11eb1809ba6f9d760fb8ce395863b9c","observation_id":"164c8fba-f9f8-4c1e-81ed-fe6ea170ae5e","resolution":{"observed_at":"2026-08-11T12:21:57.061103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:57.038363Z","title":"com (2024)","venue":null,"work_id":"8af9c1cd-41a8-4796-a045-f56dfa31332a","year":2024},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.957538Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:3fb7288c9d6789bd47d249142da318c3b3d27efe6891e3b7d4c2a0982e7dbcc4","observation_id":"f8dd8f4d-f084-439a-8f94-3575a01f5c96","resolution":{"observed_at":"2026-08-11T12:21:57.043523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:57.021911Z","title":null,"venue":null,"work_id":"b0af98e1-595b-47a4-927a-e8ab1d833441","year":2020},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.962213Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:47810b7aa643d2211c424560dc6f37c49b0347cf3031909cdd2d99631c21fd4c","observation_id":"4877eb4f-b73a-4c8f-a33c-9e84a0e38e16","resolution":{"observed_at":"2026-08-11T12:21:57.026929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.euroecorev.2020","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:56.233294Z","title":", Lambrecht, M","venue":null,"work_id":"86803799-d15b-495a-8c2e-4cbd2ea1bf13","year":2020},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.967119Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:a1d30a0aafaadf20d84d3ecfadc549112627adf5cb5dc81e165a6d640d9bc2f2","observation_id":"3162aef5-3ef8-4edd-9290-7d15eccb6534","resolution":{"observed_at":"2026-08-11T12:21:56.238379Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:57.004534Z","title":null,"venue":null,"work_id":"b273b9fb-8dd1-4261-8637-0e84405a0378","year":2024},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.972044Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:c2e692f26dc7668b747d4038f49390600eca55c0b0c25a08faa09545f3cac5ef","observation_id":"d002faeb-f62e-4ab4-b598-4d23bbf200c3","resolution":{"observed_at":"2026-08-11T12:21:57.010250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.06648","last_updated":"2018-11-23T09:45:10Z","snapshot_observed_at":"2026-07-06T06:45:19.928946Z","submitted_at":"2018-06-18T13:25:47Z","title":"Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects","version":2},"cited_work":{"arxiv_id":"1806.06648","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.06648","snapshot_observed_at":"2026-08-11T12:21:56.566407Z","title":"Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects","venue":"physics.soc-ph","work_id":"35d2bf86-c494-4f0a-b15a-b1adc39b015d","year":2018},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.976909Z"},"links":{"cited_paper":"/paper/1806.06648","citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:13e0a31afeaa88bbc90b8117913ff0511d39cb4361319f16e48df0cec8ccf4dd","observation_id":"d6bb9501-7068-43a1-9374-9be4832e0e8e","resolution":{"observed_at":"2026-08-11T12:21:56.571981Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.987709Z","title":", Torregrossa, M","venue":null,"work_id":"5d1f7de8-3a69-4c5b-8214-0af28559505b","year":2019},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.982489Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:d4653ba9e1cf909c9b1a81b4ff29fe88136b200fd76f3b7c9f03cd1b6526b2f1","observation_id":"233dbc23-0a48-4e35-9fbc-1f72a5093c99","resolution":{"observed_at":"2026-08-11T12:21:56.992631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:55.987045Z","title":"and Liu, P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.987045Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:a927cdef71e7f03f5cfa79f46032d190abecc474091d62a3bd34257b8ace3d1f","observation_id":"284ccf37-a5c4-4c40-8838-e1778a65cdd6","resolution":{"observed_at":"2026-08-11T12:21:55.987045Z","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":"2026-08-11T12:21:56.971269Z","title":null,"venue":null,"work_id":"e2b80105-f380-4816-8f84-287d20d2dddc","year":2008},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.992449Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:72ccd500e264447b04b177bc1e27b728e000cd940148226bee49232ed63b2cf0","observation_id":"ae786a27-dfd2-4b90-b255-7fdf5e1875e8","resolution":{"observed_at":"2026-08-11T12:21:56.976219Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.18637/jss.v012.i01","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:56.216385Z","title":null,"venue":null,"work_id":"23bab4de-ee29-4325-89ce-a245ce608bb0","year":2005},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:55.997255Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:d40fe5cf7bd6edcba6519329ef719bc3c74ffce8fb9675ea456c3d2f2a14fd6a","observation_id":"9092953d-064f-4d7a-a144-fdf42bede585","resolution":{"observed_at":"2026-08-11T12:21:56.221326Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.955503Z","title":null,"venue":null,"work_id":"cc488ab3-522e-4ec5-a00c-832bd206a024","year":2022},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.001779Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:1eb698bb4ab31dffa835a235604feba4b28a4d445ce41c333caf3737dd67c9f2","observation_id":"cc84c2c7-6d37-406c-8668-71dedf51f8ea","resolution":{"observed_at":"2026-08-11T12:21:56.960655Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.939744Z","title":"and Rodríguez, J","venue":null,"work_id":"0c97b2c1-757e-4753-8312-41e8b62be90e","year":2024},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.006330Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:933a85a7faef8038c5f8efe45528f38da45aa4df84c0a9b3d44a0c6db5dd11b1","observation_id":"134ee2a6-a13b-4367-920f-10e833653a1a","resolution":{"observed_at":"2026-08-11T12:21:56.944805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.924218Z","title":null,"venue":null,"work_id":"aa2708cb-e504-42c6-b316-9c9ea86621c6","year":2023},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.011084Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:166d4adc485a9a90916a8c1e33b6d9597a4f2544f3bb5ad3ad8336968383bb9d","observation_id":"418696d6-1a08-44ef-a399-76a4016dc333","resolution":{"observed_at":"2026-08-11T12:21:56.929158Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.015978Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.015978Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:33731bd7143bb7faf065896541898c6c037717f9df40de168b010fe1ae2b1af0","observation_id":"2dc03fac-2e23-4664-a8e0-7324a2de52e6","resolution":{"observed_at":"2026-08-11T12:21:56.015978Z","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":"2026-08-11T12:21:56.908020Z","title":", Chang, C.-J","venue":null,"work_id":"54983674-ba7f-471d-8a0a-b9572eb67aa8","year":2024},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.021168Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:135fa60618dd6a2f63bc4b7a2eb3ba87b71f1a05dec0e34df2b64ff1a2cd8cc0","observation_id":"113636d9-76e2-470c-98d9-fe586b8db516","resolution":{"observed_at":"2026-08-11T12:21:56.912850Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.026444Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.026444Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:55b27b60e0fc4128d367a945aebc25219b075998a24b9539f1d48cce41bb845b","observation_id":"fe6c04a1-0f11-4a90-be72-cdd5546760cc","resolution":{"observed_at":"2026-08-11T12:21:56.026444Z","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":"2026-08-11T12:21:56.892507Z","title":"(2011).Statisticalrankingand combinatorial Hodge theory.Mathematical Programming127 203–244","venue":null,"work_id":"5364eb23-3465-4cd5-bf26-05b6f6c3bb73","year":2011},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.031636Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:80983500c4b6ffc253019cc53381b4302d9462998e1f7a339200086a4f448a9c","observation_id":"61f79395-fdbd-41de-8a51-c9a530f65c8e","resolution":{"observed_at":"2026-08-11T12:21:56.897653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.876919Z","title":"W., Mikhailov, L., Redlarski, G., Soltys, M., Szy- bowski, J., Tamazian, G., W ajch, E.and Yuen, K","venue":null,"work_id":"537e06e5-361c-4d25-aa36-a112941cefd3","year":2016},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.036568Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:685be839e7eb75cb715178e31484d199b935c97bda11638aa6a4aeb348720d6d","observation_id":"8bb7d8d9-91be-4b84-b3d8-b123bcebfcda","resolution":{"observed_at":"2026-08-11T12:21:56.881893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ijforecast.2020.01.006","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:56.190993Z","title":null,"venue":null,"work_id":"5a162752-2e80-40a5-8884-c90132341f80","year":2020},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.041463Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:b59217e9287f98ccf189b3debde85892f6c4078cb41989c2851dab2964602f01","observation_id":"e25db305-d078-403d-8996-3c4de7d0c335","resolution":{"observed_at":"2026-08-11T12:21:56.195797Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-12T00:18:16.092401+00:00","source":"paper_reference_links","state":"open"},"event_date":"2021-05-19","event_type":"correction","notice_doi":"10.1016/j.ijforecast.2021.01.015","provenance":{"observed_at":"2026-07-11T03:12:24.339887+00:00","source":"crossref","source_record_id":"10.1016/j.ijforecast.2021.01.015->10.1016/j.ijforecast.2020.01.006:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.861541Z","title":null,"venue":null,"work_id":"da347fb5-21cc-407d-b130-166547417c64","year":2012},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.046429Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:a5f76813c44304e094fc1270b26f5327d53b78f61c81319c86574dfa4111e5ec","observation_id":"90bc64ce-ec96-4bdb-becb-f2e4bac81be2","resolution":{"observed_at":"2026-08-11T12:21:56.866335Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.845968Z","title":null,"venue":null,"work_id":"911ff840-053a-4ed4-b862-8cba64508141","year":2014},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.051241Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:bf5158ab8ed7af321a59c9485ce39e66cc612c153049b9546eb860a17ec1a512","observation_id":"f18ca273-6b8e-4816-bfd1-0a6132d29509","resolution":{"observed_at":"2026-08-11T12:21:56.850693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.829664Z","title":null,"venue":null,"work_id":"f8bc817a-97b9-45c2-990c-00e042910628","year":1965},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.056370Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:c67f1bd0454446e3424c0e05d31fa2be3b1cc0611d4b2b710abc77241bd20ccb","observation_id":"0576fc02-8565-4274-953b-bae07552c367","resolution":{"observed_at":"2026-08-11T12:21:56.834906Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.814047Z","title":"and Probst, C","venue":null,"work_id":"e9aa8bd3-ef27-4ad0-8782-926378390ffd","year":2012},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.061273Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:7cdb135ff2a8e4e9184bd5acf3c5fd534b6b9d56f1ca4240f78e9375ef714c88","observation_id":"e7ac1baf-fa88-4df3-8b8c-e5f46006c0ab","resolution":{"observed_at":"2026-08-11T12:21:56.819179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.798385Z","title":null,"venue":null,"work_id":"2979a158-e5a7-42ca-a91b-a956bc6a1348","year":2019},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.065768Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:3ff3912b1c24c5052ce72e16e111abb591647b361e8cfd0ce25d11f934ca5d28","observation_id":"6fc6fe5a-412f-4ec2-a1e5-7753bce2b685","resolution":{"observed_at":"2026-08-11T12:21:56.803193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.781337Z","title":null,"venue":null,"work_id":"4bd6ce4a-d151-4cea-9827-9dd3b1920a05","year":2013},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.070453Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:e159850a22c4a3e2e48f71eff77c3cffc0b158d26b749301ccecb161176f7103","observation_id":"9eb053fa-6b0c-465d-bb64-09fa47287b1c","resolution":{"observed_at":"2026-08-11T12:21:56.786473Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.074968Z","title":"(2022).G-Elo:generalizationoftheEloalgorithmbymod- eling the discretized margin of victory.Journal of Quantitative Analysis in Sports 18 1–14","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.074968Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:74fe86cebce02cc388f815f9c155ee07dc73e3279217acd94675c1f034ddf28f","observation_id":"48a7baba-a100-4d75-8bd8-7f267d6ba6c2","resolution":{"observed_at":"2026-08-11T12:21:56.074968Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.06081","last_updated":"2019-10-02T22:23:02Z","snapshot_observed_at":"2026-07-06T08:29:16.243866Z","submitted_at":"2019-10-02T22:23:02Z","title":"Understanding and Pushing the Limits of the Elo Rating Algorithm","version":1},"cited_work":{"arxiv_id":"1910.06081","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.06081","snapshot_observed_at":"2026-08-11T12:21:56.280430Z","title":"Understanding and Pushing the Limits of the Elo Rating Algorithm","venue":"math.ST","work_id":"00cad25f-9bf7-4be4-a957-9081ed30f7bf","year":2019},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.079601Z"},"links":{"cited_paper":"/paper/1910.06081","citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:ca8aad3fb43300d471e1fa9cf8d23472f83365cc867a668f033493e2f083864d","observation_id":"8e7b6892-69a4-4d3d-8389-841403a4f13c","resolution":{"observed_at":"2026-08-11T12:21:56.286717Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.084555Z","title":"and Djebbi, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.084555Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:9c76265cb0203f8414894034f79570c631a98922011359ff80d28613b3a05af2","observation_id":"d3a960a6-e473-46f9-9110-a802ec3eb865","resolution":{"observed_at":"2026-08-11T12:21:56.084555Z","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":"2026-08-11T12:21:56.765380Z","title":"and Tihon, R","venue":null,"work_id":"1a7377ba-36b7-4995-91b3-e34a244e9d97","year":2023},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.089179Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:cc87055e55b32146dfbdaf38ed8b2968fdfe1245f6ad54200344f59c7f0ecf6d","observation_id":"0b1fe0a5-6a40-41b5-8634-c68ab3fa58f0","resolution":{"observed_at":"2026-08-11T12:21:56.770544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.749431Z","title":null,"venue":null,"work_id":"96a696bf-e929-4331-9bab-56e28738dae9","year":2019},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.093780Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:850e40510279bb9f99569d60d6a7ddb6e9f15d284459cf622ec96c5cd29b9314","observation_id":"b39423e8-43c3-4a4d-b87b-142502826bc9","resolution":{"observed_at":"2026-08-11T12:21:56.754283Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.732680Z","title":null,"venue":null,"work_id":"35f7848d-6233-4de7-8cd7-394971679907","year":2013},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.098645Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:c2f80cd76d49cf1572e0fd95050886e97ea1a37707e56e08d88de8e66c4c6caa","observation_id":"bf4be5ae-df4e-48c0-97c9-6a51844b14f2","resolution":{"observed_at":"2026-08-11T12:21:56.737572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.patcog.2015.09.022","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:21:56.153203Z","title":null,"venue":null,"work_id":"e65ca88c-5fac-48d9-900d-c75363b97d85","year":2016},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.103136Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:e41990003369d702ea9a85ad8f2a89aea05439254024b9d41df5ce738910620f","observation_id":"3a3ca09d-5680-49fa-b8c0-546dcee97ae1","resolution":{"observed_at":"2026-08-11T12:21:56.158994Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.715172Z","title":"and Gerrard, H","venue":null,"work_id":"de0d0905-b6d0-4ca8-9935-9742694a6e5f","year":2021},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.107818Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:f05d746f7ae8bc7a9a999c84146d1ec02209dce48c91c60a96e11ff7e2894ecc","observation_id":"007fb328-5c69-483f-88cd-bbcb6ddd7034","resolution":{"observed_at":"2026-08-11T12:21:56.720877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.698415Z","title":"and Yao, Y","venue":null,"work_id":"1e961372-d66e-41f1-bde5-500c59c93f4f","year":2012},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.112436Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:4364b2ca2f8d941b457fcd4ce1cb23eebaeae81a6b188e955282c7341374c563","observation_id":"b8920413-4a75-43c4-981c-f0aecc2bbe52","resolution":{"observed_at":"2026-08-11T12:21:56.703694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.682107Z","title":"and Chen, X","venue":null,"work_id":"11746a5c-1327-42bc-a94b-730b21bd9cff","year":2022},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.117211Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:ec5a332d54cb376b87066609bf2b17ba2eb0edf09a283ba79a192db121a75eab","observation_id":"48d6b76e-8d43-4cb5-b0b0-a7d1a1f1bf28","resolution":{"observed_at":"2026-08-11T12:21:56.687274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T12:21:56.665980Z","title":null,"venue":null,"work_id":"acf6cd82-b42d-4ae5-916d-844281f2597c","year":2019},"citing_paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T12:21:56.121758Z"},"links":{"citing_paper":"/paper/2412.14427"},"observation_digest":"sha256:546318960ede95c879f0cf23ffd7781c513fb17e744b137e73fe99783e5d86c7","observation_id":"42aad3aa-8bf8-4bb4-93d2-81f6257a3937","resolution":{"observed_at":"2026-08-11T12:21:56.670811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.14427","last_updated":"2024-12-19T00:50:19Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T18:16:42.575619Z","submitted_at":"2024-12-19T00:50:19Z","title":"Elo Ratings in the Presence of Intransitivity"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":7,"verified_fuzzy":13},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2412.14427."}