{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4ACFTSAMQ2CQJC2OF6GOJHBDVH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fcbad454d5b97ec0d7d1ffa4da90c656d928f07b6defb2916ebd7448f3f0ee98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-10-04T09:35:21Z","title_canon_sha256":"9d3d4d694693f6ee3772c9f63076b2a0782afdd6e6a6b22e7f4479e408cba44c"},"schema_version":"1.0","source":{"id":"1110.0620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0620","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0620v1","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0620","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"4ACFTSAMQ2CQ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4ACFTSAMQ2CQJC2O","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4ACFTSAM","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:e0faee65844495f096bac33aafb70c997e0054b3da7a0f48055e9bafb2e1b03b","target":"graph","created_at":"2026-05-18T01:22:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an approximation algorithm with a constant approximation ratio. In addition, the proposed algorithm yields a solution that meets both the no-repeater and mirrored constraints. Computational experiments show that the algorithm generates solutions of good quality.","authors_text":"Ryuhei Miyashiro, Shinji Imahori, Tomomi Matsui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-10-04T09:35:21Z","title":"A 2.75-Approximation Algorithm for the Unconstrained Traveling Tournament Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0620","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:62fb61b2631b007854c5a6789d72c143b87cbeb4cc7571a54ca1120465f2a475","target":"record","created_at":"2026-05-18T01:22:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fcbad454d5b97ec0d7d1ffa4da90c656d928f07b6defb2916ebd7448f3f0ee98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-10-04T09:35:21Z","title_canon_sha256":"9d3d4d694693f6ee3772c9f63076b2a0782afdd6e6a6b22e7f4479e408cba44c"},"schema_version":"1.0","source":{"id":"1110.0620","kind":"arxiv","version":1}},"canonical_sha256":"e00459c80c8685048b4e2f8ce49c23a9e0b24d527ba4ed8ef1911769756fea28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e00459c80c8685048b4e2f8ce49c23a9e0b24d527ba4ed8ef1911769756fea28","first_computed_at":"2026-05-18T01:22:54.529398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:54.529398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9maMEPS7gDUwH2oL3etYoSUI6y5Oh9DhZBz07cAn2KzTXSMRns2CAVQIbECKEZtEN3DjizPP9vg619O5895/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:54.529971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62fb61b2631b007854c5a6789d72c143b87cbeb4cc7571a54ca1120465f2a475","sha256:e0faee65844495f096bac33aafb70c997e0054b3da7a0f48055e9bafb2e1b03b"],"state_sha256":"c7a170303a6de2334e12ce365f7b3052461f1aff6809f2548ff3d1d1722e2686"}