{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LIWXFRQQYLLFYDP4N23G5IYJOL","short_pith_number":"pith:LIWXFRQQ","canonical_record":{"source":{"id":"1110.5464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T11:12:45Z","cross_cats_sorted":[],"title_canon_sha256":"5994b113b10f8e1a74bba3bb464cddcefc7d7d0db3c866a63acaaedc6951f9ab","abstract_canon_sha256":"fd46e80d2821606fe9593c972199a06b2c51628847b6dd21e15b1cf2b95d3f56"},"schema_version":"1.0"},"canonical_sha256":"5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e","source":{"kind":"arxiv","id":"1110.5464","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5464","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5464v2","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5464","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"pith_short_12","alias_value":"LIWXFRQQYLLF","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LIWXFRQQYLLFYDP4","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LIWXFRQQ","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LIWXFRQQYLLFYDP4N23G5IYJOL","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T11:12:45Z","cross_cats_sorted":[],"title_canon_sha256":"5994b113b10f8e1a74bba3bb464cddcefc7d7d0db3c866a63acaaedc6951f9ab","abstract_canon_sha256":"fd46e80d2821606fe9593c972199a06b2c51628847b6dd21e15b1cf2b95d3f56"},"schema_version":"1.0"},"canonical_sha256":"5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:49.413709Z","signature_b64":"4VBDAQnwMbXNEUIABa6rKXhqt1vHnNOB2KY7gc+OA23kNnwSqCoy7qhoMxbKliktl03QB7jQuAn9uQPZnhZIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e","last_reissued_at":"2026-05-18T03:44:49.412882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:49.412882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5464","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:44:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yDgfWjQsZKPo3sBcT3pd8vT6xNcijWBPW/1hOK5ak6jsadNDQaOMIVksED5DLRXwUSb/jH4rxiQWQdexkUuaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:14:59.990180Z"},"content_sha256":"32157260bbca2e16ba97263068972e26d23602032b2dc966333b19c9768742c0","schema_version":"1.0","event_id":"sha256:32157260bbca2e16ba97263068972e26d23602032b2dc966333b19c9768742c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LIWXFRQQYLLFYDP4N23G5IYJOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Flaminio Flamini, Gian Mario Besana, Maria Lucia Fania","submitted_at":"2011-10-25T11:12:45Z","abstract_excerpt":"Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_1 are studied. An irreducible component of the Hilbert scheme parametrizing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5464","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:44:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTRT3iUILQ6Xip2JgKztSKfVHsa/7gFaPZea6ze796fnTseqExUkWEFA3Rn3eoITA8bvlA55fJTMh2FJ3odfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:14:59.990829Z"},"content_sha256":"fccd5bb08f0be4b6f822d4d9521ab180fde3d70d538aeb198335826bfe5aa860","schema_version":"1.0","event_id":"sha256:fccd5bb08f0be4b6f822d4d9521ab180fde3d70d538aeb198335826bfe5aa860"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/bundle.json","state_url":"https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T03:14:59Z","links":{"resolver":"https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL","bundle":"https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/bundle.json","state":"https://pith.science/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIWXFRQQYLLFYDP4N23G5IYJOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LIWXFRQQYLLFYDP4N23G5IYJOL","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":"fd46e80d2821606fe9593c972199a06b2c51628847b6dd21e15b1cf2b95d3f56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T11:12:45Z","title_canon_sha256":"5994b113b10f8e1a74bba3bb464cddcefc7d7d0db3c866a63acaaedc6951f9ab"},"schema_version":"1.0","source":{"id":"1110.5464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5464","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5464v2","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5464","created_at":"2026-05-18T03:44:49Z"},{"alias_kind":"pith_short_12","alias_value":"LIWXFRQQYLLF","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LIWXFRQQYLLFYDP4","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LIWXFRQQ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:fccd5bb08f0be4b6f822d4d9521ab180fde3d70d538aeb198335826bfe5aa860","target":"graph","created_at":"2026-05-18T03:44:49Z","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":"Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_1 are studied. An irreducible component of the Hilbert scheme parametrizing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described.","authors_text":"Flaminio Flamini, Gian Mario Besana, Maria Lucia Fania","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T11:12:45Z","title":"Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5464","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":"sha256:32157260bbca2e16ba97263068972e26d23602032b2dc966333b19c9768742c0","target":"record","created_at":"2026-05-18T03:44:49Z","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":"fd46e80d2821606fe9593c972199a06b2c51628847b6dd21e15b1cf2b95d3f56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T11:12:45Z","title_canon_sha256":"5994b113b10f8e1a74bba3bb464cddcefc7d7d0db3c866a63acaaedc6951f9ab"},"schema_version":"1.0","source":{"id":"1110.5464","kind":"arxiv","version":2}},"canonical_sha256":"5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a2d72c610c2d65c0dfc6eb66ea30972ef18dfe2aac0dda83cd9c83d5a94a37e","first_computed_at":"2026-05-18T03:44:49.412882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:49.412882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VBDAQnwMbXNEUIABa6rKXhqt1vHnNOB2KY7gc+OA23kNnwSqCoy7qhoMxbKliktl03QB7jQuAn9uQPZnhZIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:49.413709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32157260bbca2e16ba97263068972e26d23602032b2dc966333b19c9768742c0","sha256:fccd5bb08f0be4b6f822d4d9521ab180fde3d70d538aeb198335826bfe5aa860"],"state_sha256":"461ef3d9ce1e6ce7974bf8605aacf3c21dab34348bfe97827395a78561f1b137"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"emx+R7sAcRLraTJ3FZNY0Rt8KhCaiT6mgWKw/oJlYYAWVzB6j/ibwp50kYaofAqmz3fIRCAHHmDb55pX/ymVDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T03:14:59.994848Z","bundle_sha256":"329bd1cc3de4a579376729c170463862b1b1decd51d7d25a0bb03e8c391732ae"}}