{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CXFKUBSBX4HF4MWFWGCK4QTKN6","short_pith_number":"pith:CXFKUBSB","canonical_record":{"source":{"id":"1009.4883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-24T16:08:21Z","cross_cats_sorted":[],"title_canon_sha256":"a3ed5dfc60a0e9d4bebf6fa6f84672ffa9f1f9db20783fff63c7ec37b6061a75","abstract_canon_sha256":"08b969fc8d498371eaf30a2d62877287ffe35de9c7c02d1acff910ecab1d2d53"},"schema_version":"1.0"},"canonical_sha256":"15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410","source":{"kind":"arxiv","id":"1009.4883","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4883","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4883v1","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4883","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"CXFKUBSBX4HF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CXFKUBSBX4HF4MWF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CXFKUBSB","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CXFKUBSBX4HF4MWFWGCK4QTKN6","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-24T16:08:21Z","cross_cats_sorted":[],"title_canon_sha256":"a3ed5dfc60a0e9d4bebf6fa6f84672ffa9f1f9db20783fff63c7ec37b6061a75","abstract_canon_sha256":"08b969fc8d498371eaf30a2d62877287ffe35de9c7c02d1acff910ecab1d2d53"},"schema_version":"1.0"},"canonical_sha256":"15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:21.012210Z","signature_b64":"3fKcQAInTjVDk480EMV1unJNq5x9XmHaJzNSoVv6tga1qVNIrnWzYFpo1GVbdnhBU+/eaSFaowf0qnnfzleFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410","last_reissued_at":"2026-05-18T04:40:21.011564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:21.011564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4883","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CU+7Hv9uFCj4E85jBD6JGcfVum55Q7ogHecoREvN7bfOxE0YRWJuwLE0FEAszSwy+sXv6xM3IrgPd0RJGCLWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:26:36.220807Z"},"content_sha256":"6a7f6433b61063aad6b1329820f3a318c6603b4e5db84c60fd3de5c3360a3d7b","schema_version":"1.0","event_id":"sha256:6a7f6433b61063aad6b1329820f3a318c6603b4e5db84c60fd3de5c3360a3d7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CXFKUBSBX4HF4MWFWGCK4QTKN6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on projective normality of reducible curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Edoardo Ballico, Silvia Brannetti","submitted_at":"2010-09-24T16:08:21Z","abstract_excerpt":"We give some results on quadratic normality of reducible curves canonically embedded and partially extend this study to their projective normality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4883","kind":"arxiv","version":1},"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":"2026-05-18T04:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rEesfKnZcwJFxq8C5QbOcIHs47soYuCZwhVzwN8Lffu0yM+BrH6tSFr7CYs/S2IipVZb4BGoTgJd6F1mOvR8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:26:36.221165Z"},"content_sha256":"d7ebce2c5314d08047192f9b4d3b0d3d4f8cc8eba0e3c2df6fb5d524257d774e","schema_version":"1.0","event_id":"sha256:d7ebce2c5314d08047192f9b4d3b0d3d4f8cc8eba0e3c2df6fb5d524257d774e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/bundle.json","state_url":"https://pith.science/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/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":"2026-06-21T06:26:36Z","links":{"resolver":"https://pith.science/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6","bundle":"https://pith.science/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/bundle.json","state":"https://pith.science/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXFKUBSBX4HF4MWFWGCK4QTKN6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CXFKUBSBX4HF4MWFWGCK4QTKN6","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":"08b969fc8d498371eaf30a2d62877287ffe35de9c7c02d1acff910ecab1d2d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-24T16:08:21Z","title_canon_sha256":"a3ed5dfc60a0e9d4bebf6fa6f84672ffa9f1f9db20783fff63c7ec37b6061a75"},"schema_version":"1.0","source":{"id":"1009.4883","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4883","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4883v1","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4883","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"CXFKUBSBX4HF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CXFKUBSBX4HF4MWF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CXFKUBSB","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:d7ebce2c5314d08047192f9b4d3b0d3d4f8cc8eba0e3c2df6fb5d524257d774e","target":"graph","created_at":"2026-05-18T04:40:21Z","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 give some results on quadratic normality of reducible curves canonically embedded and partially extend this study to their projective normality.","authors_text":"Edoardo Ballico, Silvia Brannetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-24T16:08:21Z","title":"Notes on projective normality of reducible curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4883","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":"sha256:6a7f6433b61063aad6b1329820f3a318c6603b4e5db84c60fd3de5c3360a3d7b","target":"record","created_at":"2026-05-18T04:40:21Z","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":"08b969fc8d498371eaf30a2d62877287ffe35de9c7c02d1acff910ecab1d2d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-24T16:08:21Z","title_canon_sha256":"a3ed5dfc60a0e9d4bebf6fa6f84672ffa9f1f9db20783fff63c7ec37b6061a75"},"schema_version":"1.0","source":{"id":"1009.4883","kind":"arxiv","version":1}},"canonical_sha256":"15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410","first_computed_at":"2026-05-18T04:40:21.011564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:21.011564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3fKcQAInTjVDk480EMV1unJNq5x9XmHaJzNSoVv6tga1qVNIrnWzYFpo1GVbdnhBU+/eaSFaowf0qnnfzleFBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:21.012210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4883","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a7f6433b61063aad6b1329820f3a318c6603b4e5db84c60fd3de5c3360a3d7b","sha256:d7ebce2c5314d08047192f9b4d3b0d3d4f8cc8eba0e3c2df6fb5d524257d774e"],"state_sha256":"432733129d61be6b390cceaf6c339e05147d90f25dda18dd7f4386cf9975e76e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"azTevQ8eRuzGekdhTmcsp8OStoI702NHt56jQPdoXTZIT8OMolqw53jACG6lE+dPrnptqCJ5hTeScZb2c4LhCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T06:26:36.223185Z","bundle_sha256":"65410ef76feecd39b1d7cc0a6b3a5b6c744b7dd12c4905e6e23a455cc77e2d89"}}