{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4Z6D4KUCFU66SWD2WRCQXO7BJX","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":"c452e08f4ce85dc2de2ed808ddfde5eb3073aa1bf827a844f93a1aec6a01787f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-08T13:58:37Z","title_canon_sha256":"5909cfbd877f5b3717c87fcd13fbfd969c3882b1506fc3f9cf2d2fe59609e164"},"schema_version":"1.0","source":{"id":"1904.04080","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.04080","created_at":"2026-05-17T23:47:08Z"},{"alias_kind":"arxiv_version","alias_value":"1904.04080v2","created_at":"2026-05-17T23:47:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.04080","created_at":"2026-05-17T23:47:08Z"},{"alias_kind":"pith_short_12","alias_value":"4Z6D4KUCFU66","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4Z6D4KUCFU66SWD2","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4Z6D4KUC","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:e5032f41173e7029558c0bae7a927498b12279d8897d2ac9d6c188bfb4e9c48c","target":"graph","created_at":"2026-05-17T23:47:08Z","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":"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.","authors_text":"Hunter Spink, Marius Tiba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-08T13:58:37Z","title":"Multicolour chain avoidance in the boolean lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.04080","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:d907140ed70c2a99b0b006a709f1f22a08c2cf715397d2c9fdff06c0bd107380","target":"record","created_at":"2026-05-17T23:47:08Z","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":"c452e08f4ce85dc2de2ed808ddfde5eb3073aa1bf827a844f93a1aec6a01787f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-08T13:58:37Z","title_canon_sha256":"5909cfbd877f5b3717c87fcd13fbfd969c3882b1506fc3f9cf2d2fe59609e164"},"schema_version":"1.0","source":{"id":"1904.04080","kind":"arxiv","version":2}},"canonical_sha256":"e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e67c3e2a822d3de9587ab4450bbbe14df1ef655248d016db4588875dee94ab9d","first_computed_at":"2026-05-17T23:47:08.363720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:08.363720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ETTRR2bDp8pMitqh3ugy50BMr20zBKU16Rzzb19y3/SnwSHnSNoltkp7Rr7crFJV03Ng/YqJ9yXK6MTPzjXADQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:08.364293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.04080","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d907140ed70c2a99b0b006a709f1f22a08c2cf715397d2c9fdff06c0bd107380","sha256:e5032f41173e7029558c0bae7a927498b12279d8897d2ac9d6c188bfb4e9c48c"],"state_sha256":"aa5c0dde9a7543d92902099d96fabc40bb5c79ff2a57147c02fc0df78798ad73"}