{"as_of":"2026-08-19T20:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1f6a3f8c65527003832eba26fff1d6bd87939bde2e961290e7b76db3160ec867","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T00:23:29.181347Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.27455/citation-record","integrity":"/paper/2607.27455/integrity","json":"/paper/2607.27455/citation-record.json","paper":"/paper/2607.27455"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.172675Z","title":"Akrami, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.172675Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:b4939925576c367c9ced9bed412aedfd3e87249b373baacfe4da5fc0aa8c8597","observation_id":"fe0b4ef0-5093-4608-99a4-8c0018ee48f2","resolution":{"observed_at":"2026-07-31T00:23:28.172675Z","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":"10.1002/jgt.22716","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Alon and M","venue":"Journal of Graph Theory","work_id":"36fcf96b-ae1d-4d20-b68b-3e2a94dcf1f7","year":2021},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.218664Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:35c22a866c443f2d362a7756bc93f3f783e23d52ff8a2af306d8dd6459c66ba7","observation_id":"3884765f-109c-4064-ae57-c016cb821b42","resolution":{"observed_at":"2026-07-31T00:25:52.486199Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T00:23:28.261331Z","title":"Amanatidis, H","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.261331Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:0ae0918ae67286a362dadf156d3ab8bbbf063ea6a5b627e503e85fc3095e31cc","observation_id":"898d4556-c685-438b-97f7-0c3583e9fb11","resolution":{"observed_at":"2026-07-31T00:23:28.261331Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.310535Z","title":"Amanatidis, E","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.310535Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:14dde3863f040c0eeeae97af27333868da77ad62d07118253039ce6b3c7af51d","observation_id":"d3057ae6-4e38-48b0-9fc7-fa32e52c85f3","resolution":{"observed_at":"2026-07-31T00:23:28.310535Z","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":"10.4230/lipics.mfcs.2022.17","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)","work_id":"7c2a539f-fa10-4500-853f-a67e211ae98a","year":2022},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.356718Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:6214498d84ee472bb777f5e0bbd38233b6b95e6bf08fa315acac69747e9ec1a0","observation_id":"fcec7445-6dec-4a81-bef9-3f20a2d67f63","resolution":{"observed_at":"2026-07-31T00:25:52.208541Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T00:23:28.403659Z","title":"Berger, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.403659Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:db0c7d398d85a42eba65591fc2407e756bf927739426867030b42de0c7a9c43d","observation_id":"c18e58cc-813e-49ca-a073-d371c941b02f","resolution":{"observed_at":"2026-07-31T00:23:28.403659Z","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":"10.1016/j.jctb.2025.04.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Campbell, J","venue":"Journal of Combinatorial Theory Series B","work_id":"d195a3f1-fa59-40d0-bf2c-d0993cbdd0ef","year":2025},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.461077Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:1724c152a7c9203cf4fdea53b6bfe9cd9c3194bea6ba5b70dd5ce793802fac02","observation_id":"a04a106d-2361-4549-af43-db909b248870","resolution":{"observed_at":"2026-07-31T00:25:51.944065Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T00:23:28.515273Z","title":"Caragiannis, N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.515273Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:36632252501e99d8b41aec5fab2e1fc2b366e6f4e6c0cefa421d961dabddf2b3","observation_id":"d2a4223c-2252-4eac-b59c-dc5ce95b6caa","resolution":{"observed_at":"2026-07-31T00:23:28.515273Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.557248Z","title":"Caragiannis, D","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.557248Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:ec8bd12489a6a71f2a1bcb2be5d26331d4ea8188fe7ed3cdbdd76734d8988514","observation_id":"a2c3e532-5a3f-4459-b839-c01c092fb376","resolution":{"observed_at":"2026-07-31T00:23:28.557248Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.635302Z","title":"Chashm Jahan, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.635302Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:b5d4952f2cdb6df9d194fe7e9471978b71e9287976b86e544f51e557768a45d0","observation_id":"311072a7-043e-4522-bd65-1526f6986f4c","resolution":{"observed_at":"2026-07-31T00:23:28.635302Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.673086Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.673086Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:c70d3874b22e52f5a50ac8ba87b9527c6b77110cddbe7902fcf0a2fb144f962a","observation_id":"ab3d4d01-86af-477f-9f52-249f1edb35ca","resolution":{"observed_at":"2026-07-31T00:23:28.673086Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.740747Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.740747Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:a15aa255e0780e49439b5e279dc35b422f8d0565edc9f76eb6d63ab29cc1eaf4","observation_id":"9e202b07-b713-4eaa-aaab-ce29e8bb34b8","resolution":{"observed_at":"2026-07-31T00:23:28.740747Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:28.773551Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.773551Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:fb5c7c8b09494382dd85720252fdfbd8fa90c49f681472326446cd817088841f","observation_id":"00198758-5aae-4780-b3f3-c22be8089d07","resolution":{"observed_at":"2026-07-31T00:23:28.773551Z","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":"10.1016/j.jctb.2025.03.001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Christoph, C","venue":"Journal of Combinatorial Theory Series B","work_id":"b721ac1f-db18-4c71-aacc-93672bb7a3b0","year":2025},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.819758Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:c0826171ef8ca248ecce500b8ca7ecffee5eec0224426d95f92d9cc2b78f93f5","observation_id":"3a0edc80-6ea4-44f2-8494-4219dd9db7fe","resolution":{"observed_at":"2026-07-31T00:25:51.787191Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01198","last_updated":"2024-07-01T11:47:34Z","snapshot_observed_at":"2026-08-16T13:38:09.540914Z","submitted_at":"2024-07-01T11:47:34Z","title":"Cycles of weight divisible by $k$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.01198","snapshot_observed_at":"2026-07-31T00:23:28.869251Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.869251Z"},"links":{"cited_paper":"/paper/2407.01198","citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:2003237f9023b0af0ace4b624d2f439ccc0050d85444ebea80b456c9530b4f21","observation_id":"dcb1b7dc-453b-47eb-af5c-2306c72da227","resolution":{"observed_at":"2026-07-31T00:23:28.869251Z","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":"10.1609/aaai.v38i9.28826","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Feldman, S","venue":"Proceedings of the AAAI Conference on Artificial Intelligence","work_id":"9554d987-2eff-4f6f-8624-d2b6ece94880","year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.906376Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:b5c2b93456e00f4f8f5fe025f2de6c18372c64c4fa5718e1b0725a9369a277a8","observation_id":"544ddec6-7620-4ad2-a071-1175b3ccca2f","resolution":{"observed_at":"2026-07-31T00:25:51.617679Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4230/lipics.cp.2024.37","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kirchweger and S","venue":"DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)","work_id":"91b9baf2-005d-42df-9051-c1dc82b7047a","year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.947431Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:3e9fdd12f34819f2b32d17b6fc47d7617e9c788efab67d2e9b64a09c97fd14bd","observation_id":"691dd227-17f6-4335-8f57-8b4fa320d017","resolution":{"observed_at":"2026-07-31T00:25:51.441321Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jctb.2024.05.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Letzter and N","venue":"Journal of Combinatorial Theory Series B","work_id":"04d73bd5-edf5-47aa-982d-1b120bc45748","year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:28.989606Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:c13253a5b05eea16180c70bb04578275a93b6141cf053fd71ddc11be87dc9ca4","observation_id":"5bc0b82e-d276-4851-885a-999651e61741","resolution":{"observed_at":"2026-07-31T00:25:51.250339Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T00:23:29.026825Z","title":"Mahara,Extension of additive valuations to general valuations on the existence of EFX, Math","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:29.026825Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:8905b6b78a5b5f7e937fcfcb0b4771fd79d385f3683724b9ab22107cca66250b","observation_id":"fb973540-6579-465f-91ac-3dbb46f120b9","resolution":{"observed_at":"2026-07-31T00:23:29.026825Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:29.069516Z","title":"M´ esz´ aros and R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:29.069516Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:e3e247e8f4ac36f98bce5254a30a8113e7378badc3d338e6f1c4b55be09904d8","observation_id":"67a0a96a-9994-463a-9103-8671cb28c4a0","resolution":{"observed_at":"2026-07-31T00:23:29.069516Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:23:29.144320Z","title":"Plaut and T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:29.144320Z"},"links":{"citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:ac5827880076d08653524d6d28521593579dff8e2c3cb16eda42522ad06be17c","observation_id":"41ac5711-89d9-4e78-8702-7e4b29d108ba","resolution":{"observed_at":"2026-07-31T00:23:29.144320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15380","last_updated":"2025-08-21T09:20:06Z","snapshot_observed_at":"2026-08-16T07:55:26.877782Z","submitted_at":"2025-08-21T09:20:06Z","title":"Almost and Approximate EFX for Few Types of Agents","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15380","snapshot_observed_at":"2026-07-31T00:23:29.181347Z","title":"Prakash HV, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T00:23:29.181347Z"},"links":{"cited_paper":"/paper/2508.15380","citing_paper":"/paper/2607.27455"},"observation_digest":"sha256:e271b4564854f5c09c135ed329b33f9e3677aa13265fe5a1b1ed237161c12a5e","observation_id":"59a2a041-0d21-4694-9f58-03936a773512","resolution":{"observed_at":"2026-07-31T00:23:29.181347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.27455","last_updated":"2026-07-29T20:43:46Z","latest_version":1,"primary_category":"cs.GT","snapshot_observed_at":"2026-08-19T10:11:07.144672Z","submitted_at":"2026-07-29T20:43:46Z","title":"A Linear Bound on the Rainbow Cycle Number and Approximate EFX"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":22},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.27455."}