{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y5MLWPKMEPCW2KRCCGTRHOZYEV","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":"a3bf4739b8ba2fba29976baf30e794054b40e4adf8cc7093165113f6d220f330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-23T15:18:44Z","title_canon_sha256":"17abeb0714616dd7fb2a57a1f2da1982068d38cd5a3a780c66bf80afad9d2d86"},"schema_version":"1.0","source":{"id":"1812.09728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09728","created_at":"2026-05-17T23:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09728v2","created_at":"2026-05-17T23:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09728","created_at":"2026-05-17T23:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"Y5MLWPKMEPCW","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y5MLWPKMEPCW2KRC","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y5MLWPKM","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:364444431a3c79c2cb8a8041f9f98f67a4e56e5c6c1c90330978286b02ac8b24","target":"graph","created_at":"2026-05-17T23:44:47Z","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 determine the maximum number of $\\mathbb{F}_q$-rational points that a nonsingular threefold of degree $d$ in a projective space of dimension $4$ defined over $\\mathbb{F}_q$ may contain. This settles a conjecture by Homma and Kim concerning the maximum number of points on a hypersurface in a projective space of even dimension in this particular case.","authors_text":"Mrinmoy Datta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-23T15:18:44Z","title":"Maximum number of $\\mathbb{F}_q$-rational points on nonsingular threefolds in $\\mathbb{P}^4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09728","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":"sha256:1502d1629917817d238e7288d20afc68240038b96191aa40b35d11e49828626c","target":"record","created_at":"2026-05-17T23:44:47Z","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":"a3bf4739b8ba2fba29976baf30e794054b40e4adf8cc7093165113f6d220f330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-23T15:18:44Z","title_canon_sha256":"17abeb0714616dd7fb2a57a1f2da1982068d38cd5a3a780c66bf80afad9d2d86"},"schema_version":"1.0","source":{"id":"1812.09728","kind":"arxiv","version":2}},"canonical_sha256":"c758bb3d4c23c56d2a2211a713bb3825725858b13df875b9f2babc67e77bebaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c758bb3d4c23c56d2a2211a713bb3825725858b13df875b9f2babc67e77bebaf","first_computed_at":"2026-05-17T23:44:47.749816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:47.749816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/QaoP75b+IDsABYTukAdy3Nvfpy3lE6IWyVWQ5dJ+5J4WYRx2QMJe6rTNK0RcxhXcsyHxSq37ccDFrvVPZsoDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:47.750437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1502d1629917817d238e7288d20afc68240038b96191aa40b35d11e49828626c","sha256:364444431a3c79c2cb8a8041f9f98f67a4e56e5c6c1c90330978286b02ac8b24"],"state_sha256":"404177def5c58eaf7edcd92621e46d098c77f8c3440bf6922a06abdbbb4b525b"}