{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JY2MUEFC7LRBHTMAOCKTZKIKPC","short_pith_number":"pith:JY2MUEFC","schema_version":"1.0","canonical_sha256":"4e34ca10a2fae213cd8070953ca90a78854895bfe426dbeb25aff3742791b723","source":{"kind":"arxiv","id":"2411.15463","version":1},"attestation_state":"computed","paper":{"title":"Minimizing breaks by minimizing odd cycle transversals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Koichi Fujii, Tomomi Matsui","submitted_at":"2024-11-23T05:57:56Z","abstract_excerpt":"Constructing a suitable schedule for sports competitions is a crucial issue in sports scheduling. The round-robin tournament is a competition adopted in many professional sports. For most round-robin tournaments, it is considered undesirable that a team plays consecutive away or home matches; such an occurrence is called a break. Accordingly, it is preferable to reduce the number of breaks in a tournament. A common approach is first to construct a schedule and then determine a home-away assignment based on the given schedule to minimize the number of breaks (first-schedule-then-break). In this"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.15463","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DM","submitted_at":"2024-11-23T05:57:56Z","cross_cats_sorted":[],"title_canon_sha256":"707c30ce9c8f889d7c3dab85cbf25b713610d5abf89ece3c5c435bff142c7edc","abstract_canon_sha256":"721fec1ce85194bf3de2638dc681324e311b8769cde6ae24719a7fe9397a506c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:39:35.307708Z","signature_b64":"8LOWX26Ty6U70s3G/zCCPWEZEsMcGXYfVWN+4ePzTDubl4w/pj9CbEwZUa+dFhyD8rrFkvheTGffDss+wgP2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e34ca10a2fae213cd8070953ca90a78854895bfe426dbeb25aff3742791b723","last_reissued_at":"2026-07-05T09:39:35.307168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:39:35.307168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimizing breaks by minimizing odd cycle transversals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Koichi Fujii, Tomomi Matsui","submitted_at":"2024-11-23T05:57:56Z","abstract_excerpt":"Constructing a suitable schedule for sports competitions is a crucial issue in sports scheduling. The round-robin tournament is a competition adopted in many professional sports. For most round-robin tournaments, it is considered undesirable that a team plays consecutive away or home matches; such an occurrence is called a break. Accordingly, it is preferable to reduce the number of breaks in a tournament. A common approach is first to construct a schedule and then determine a home-away assignment based on the given schedule to minimize the number of breaks (first-schedule-then-break). In this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15463","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.15463/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.15463","created_at":"2026-07-05T09:39:35.307226+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.15463v1","created_at":"2026-07-05T09:39:35.307226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15463","created_at":"2026-07-05T09:39:35.307226+00:00"},{"alias_kind":"pith_short_12","alias_value":"JY2MUEFC7LRB","created_at":"2026-07-05T09:39:35.307226+00:00"},{"alias_kind":"pith_short_16","alias_value":"JY2MUEFC7LRBHTMA","created_at":"2026-07-05T09:39:35.307226+00:00"},{"alias_kind":"pith_short_8","alias_value":"JY2MUEFC","created_at":"2026-07-05T09:39:35.307226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC","json":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC.json","graph_json":"https://pith.science/api/pith-number/JY2MUEFC7LRBHTMAOCKTZKIKPC/graph.json","events_json":"https://pith.science/api/pith-number/JY2MUEFC7LRBHTMAOCKTZKIKPC/events.json","paper":"https://pith.science/paper/JY2MUEFC"},"agent_actions":{"view_html":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC","download_json":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC.json","view_paper":"https://pith.science/paper/JY2MUEFC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.15463&json=true","fetch_graph":"https://pith.science/api/pith-number/JY2MUEFC7LRBHTMAOCKTZKIKPC/graph.json","fetch_events":"https://pith.science/api/pith-number/JY2MUEFC7LRBHTMAOCKTZKIKPC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC/action/storage_attestation","attest_author":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC/action/author_attestation","sign_citation":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC/action/citation_signature","submit_replication":"https://pith.science/pith/JY2MUEFC7LRBHTMAOCKTZKIKPC/action/replication_record"}},"created_at":"2026-07-05T09:39:35.307226+00:00","updated_at":"2026-07-05T09:39:35.307226+00:00"}