{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4Z6D4KUCFU66SWD2WRCQXO7BJX","short_pith_number":"pith:4Z6D4KUC","schema_version":"1.0","canonical_sha256":"e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d","source":{"kind":"arxiv","id":"1904.04080","version":2},"attestation_state":"computed","paper":{"title":"Multicolour chain avoidance in the boolean lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Hunter Spink, Marius Tiba","submitted_at":"2019-04-08T13:58:37Z","abstract_excerpt":"Given a collection of colored chain posets, we estimate the number of colored subsets of the boolean lattice which avoid all chains in the collection."},"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":"1904.04080","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-08T13:58:37Z","cross_cats_sorted":[],"title_canon_sha256":"5909cfbd877f5b3717c87fcd13fbfd969c3882b1506fc3f9cf2d2fe59609e164","abstract_canon_sha256":"c452e08f4ce85dc2de2ed808ddfde5eb3073aa1bf827a844f93a1aec6a01787f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:08.364293Z","signature_b64":"ETTRR2bDp8pMitqh3ugy50BMr20zBKU16Rzzb19y3/SnwSHnSNoltkp7Rr7crFJV03Ng/YqJ9yXK6MTPzjXADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d","last_reissued_at":"2026-05-17T23:47:08.363720Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:08.363720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multicolour chain avoidance in the boolean lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Hunter Spink, Marius Tiba","submitted_at":"2019-04-08T13:58:37Z","abstract_excerpt":"Given a collection of colored chain posets, we estimate the number of colored subsets of the boolean lattice which avoid all chains in the collection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.04080","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1904.04080","created_at":"2026-05-17T23:47:08.363826+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.04080v2","created_at":"2026-05-17T23:47:08.363826+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.04080","created_at":"2026-05-17T23:47:08.363826+00:00"},{"alias_kind":"pith_short_12","alias_value":"4Z6D4KUCFU66","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"4Z6D4KUCFU66SWD2","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"4Z6D4KUC","created_at":"2026-05-18T12:33:10.108867+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/4Z6D4KUCFU66SWD2WRCQXO7BJX","json":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX.json","graph_json":"https://pith.science/api/pith-number/4Z6D4KUCFU66SWD2WRCQXO7BJX/graph.json","events_json":"https://pith.science/api/pith-number/4Z6D4KUCFU66SWD2WRCQXO7BJX/events.json","paper":"https://pith.science/paper/4Z6D4KUC"},"agent_actions":{"view_html":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX","download_json":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX.json","view_paper":"https://pith.science/paper/4Z6D4KUC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.04080&json=true","fetch_graph":"https://pith.science/api/pith-number/4Z6D4KUCFU66SWD2WRCQXO7BJX/graph.json","fetch_events":"https://pith.science/api/pith-number/4Z6D4KUCFU66SWD2WRCQXO7BJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX/action/storage_attestation","attest_author":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX/action/author_attestation","sign_citation":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX/action/citation_signature","submit_replication":"https://pith.science/pith/4Z6D4KUCFU66SWD2WRCQXO7BJX/action/replication_record"}},"created_at":"2026-05-17T23:47:08.363826+00:00","updated_at":"2026-05-17T23:47:08.363826+00:00"}