{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3JNHSCLA6WAEENJ6QCVWWMZ3W3","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":"afee2ff30a4f051fa2d9eecb6131c1cfb19fcb14e9bbcfc8d90fd039de3d4309","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-14T10:26:34Z","title_canon_sha256":"f6a9a9b37b6265fd0ca111660a14ac975e1610130178b30b68ba601e041a7b94"},"schema_version":"1.0","source":{"id":"1601.03543","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03543","created_at":"2026-05-18T01:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03543v1","created_at":"2026-05-18T01:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03543","created_at":"2026-05-18T01:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"3JNHSCLA6WAE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3JNHSCLA6WAEENJ6","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3JNHSCLA","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:ec78ad9b8e1f9b2a1fb37e1ac3d775a83be905708352b610b9a40612d7b78876","target":"graph","created_at":"2026-05-18T01:22:53Z","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":"An Erd\\H{o}s-Ko-Rado set of generators of a hyperbolic quadric is a set of generators which are pairwise not disjoint. In this article we classify the second largest maximal Erd\\H{o}s-Ko-Rado set of generators of the hyperbolic quadrics $\\mathcal{Q}^{+}(4n+1,q)$, $q\\geq3$.","authors_text":"Maarten De Boeck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-14T10:26:34Z","title":"The second largest Erd\\H{o}s-Ko-Rado sets of generators of the hyperbolic quadrics $\\mathcal{Q}^{+}(4n+1,q)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03543","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":"sha256:8e73bd8cac5d24a5bcae9fc08433d04eeca764a58ca26856402f3df8be2a7b53","target":"record","created_at":"2026-05-18T01:22:53Z","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":"afee2ff30a4f051fa2d9eecb6131c1cfb19fcb14e9bbcfc8d90fd039de3d4309","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-14T10:26:34Z","title_canon_sha256":"f6a9a9b37b6265fd0ca111660a14ac975e1610130178b30b68ba601e041a7b94"},"schema_version":"1.0","source":{"id":"1601.03543","kind":"arxiv","version":1}},"canonical_sha256":"da5a790960f58042353e80ab6b333bb6d903e411ec35cdbfcf3f4a1a31eb29a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da5a790960f58042353e80ab6b333bb6d903e411ec35cdbfcf3f4a1a31eb29a8","first_computed_at":"2026-05-18T01:22:53.202423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:53.202423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SVK0CBUzDIznyQ3FmZ80xdzn7WlSNQ+/30AkvJ+1jL1Yj+N6lElLzPTu5MqYgXJd1d6+goi+Yu959Et0fJV7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:53.203097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03543","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e73bd8cac5d24a5bcae9fc08433d04eeca764a58ca26856402f3df8be2a7b53","sha256:ec78ad9b8e1f9b2a1fb37e1ac3d775a83be905708352b610b9a40612d7b78876"],"state_sha256":"f4331fedb21c7e05c15637619e485441e10c9908acac3ed8fc60cb94a385f372"}