{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AT4S7HTUGBTYV7246YJOBQDVY6","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":"ae424b050b3bea62a399371fb87a839dcb9bd5c36038bf9b6cfc4a24b5744876","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-26T18:32:28Z","title_canon_sha256":"89e7b3760176237757505798346b193ee50a74b4d12f67c99ca863fc2d744725"},"schema_version":"1.0","source":{"id":"1701.07806","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07806","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07806v2","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07806","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"AT4S7HTUGBTY","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AT4S7HTUGBTYV724","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AT4S7HTU","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:4e9296aa05a0966a433c65c2a2039d092f5a87500d9d30732b0dacde9d51cd7a","target":"graph","created_at":"2026-05-18T00:05:09Z","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":"We show that for every {\\eta} > 0 there exists an integer n_0 such that every 2-colouring of the 3-uniform complete hypergraph on n \\geq n_0 vertices contains two disjoint monochromatic tight cycles of distinct colours that together cover all but at most {\\eta}n vertices. The same result holds if we replace tight cycles with loose cycles.","authors_text":"Hiep Han, Maya Stein, Sebastian Bustamante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-26T18:32:28Z","title":"Almost partitioning 2-coloured complete 3-uniform hypergraphs into two monochromatic tight or loose cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07806","kind":"arxiv","version":2},"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:da9cc45d0b4335c357f6536f44c24524a8f3a74e212577f416738cf8c76e96f4","target":"record","created_at":"2026-05-18T00:05:09Z","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":"ae424b050b3bea62a399371fb87a839dcb9bd5c36038bf9b6cfc4a24b5744876","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-26T18:32:28Z","title_canon_sha256":"89e7b3760176237757505798346b193ee50a74b4d12f67c99ca863fc2d744725"},"schema_version":"1.0","source":{"id":"1701.07806","kind":"arxiv","version":2}},"canonical_sha256":"04f92f9e7430678aff5cf612e0c075c7897aee6572d35c4f743b05711b85d717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04f92f9e7430678aff5cf612e0c075c7897aee6572d35c4f743b05711b85d717","first_computed_at":"2026-05-18T00:05:09.644676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:09.644676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sC+AT8L59/2v3Ha64ZzfwokOD5kPjsKoBmgxxINSd8NZlHftehMedxLxPJBi0L2+4CRVxOs6yT2gDsnm9nn4Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:09.645343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07806","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da9cc45d0b4335c357f6536f44c24524a8f3a74e212577f416738cf8c76e96f4","sha256:4e9296aa05a0966a433c65c2a2039d092f5a87500d9d30732b0dacde9d51cd7a"],"state_sha256":"22a3d6af763158d846176ac06dd15529511abe0e1a7178155a6a9475215fb067"}