{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:4SVF2JQJI5JYL2EQQXSNSEXQO3","short_pith_number":"pith:4SVF2JQJ","canonical_record":{"source":{"id":"alg-geom/9506021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-26T13:12:44Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"70dada24a3c57e13696cbacfbbe4b1c1c42f817bdb742ff4fd8d17750f57b85a","abstract_canon_sha256":"8a649070f1ad74a63fb7916d7efe42f19b7b116c472236c89f43694f93fb1c5f"},"schema_version":"1.0"},"canonical_sha256":"e4aa5d2609475385e89085e4d912f076ea586a417cc033c3732ad325a865dd9e","source":{"kind":"arxiv","id":"alg-geom/9506021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9506021","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9506021v1","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9506021","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"4SVF2JQJI5JY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4SVF2JQJI5JYL2EQ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4SVF2JQJ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:4SVF2JQJI5JYL2EQQXSNSEXQO3","target":"record","payload":{"canonical_record":{"source":{"id":"alg-geom/9506021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-26T13:12:44Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"70dada24a3c57e13696cbacfbbe4b1c1c42f817bdb742ff4fd8d17750f57b85a","abstract_canon_sha256":"8a649070f1ad74a63fb7916d7efe42f19b7b116c472236c89f43694f93fb1c5f"},"schema_version":"1.0"},"canonical_sha256":"e4aa5d2609475385e89085e4d912f076ea586a417cc033c3732ad325a865dd9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:42.925792Z","signature_b64":"0dwd9tQVQEfhOeOv8oHALBnFbv/1uTrN/SqFPcPFdC8sHE+GGcGigBs0KNZldOam/aVGqn8KlaJIcwT7MFb0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4aa5d2609475385e89085e4d912f076ea586a417cc033c3732ad325a865dd9e","last_reissued_at":"2026-05-18T01:37:42.924985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:42.924985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"alg-geom/9506021","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":"2026-05-18T01:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jlOPtVr0rW7Y09humG9xMRW36VzvFn4PD/M3oBFBUQTbcPVl+nAl+HxJjp3nU+9dRNHXGKcqWB7e1c3S3PKpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:31:59.887804Z"},"content_sha256":"7337a2f8c53b415ded9135caf40cf8262f26aee1faf0a6ab49e4f75d339427ee","schema_version":"1.0","event_id":"sha256:7337a2f8c53b415ded9135caf40cf8262f26aee1faf0a6ab49e4f75d339427ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:4SVF2JQJI5JYL2EQQXSNSEXQO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Vector Bundle of Rank 2 on P1 x P3","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"H. Lange","submitted_at":"1995-06-26T13:12:44Z","abstract_excerpt":"The paper studies a rank 2 vector bundle on P1 x P3. Similarly to the Horrocks - Mumford bundle on P4 this vector bundle encodes a lot of geometric information. It is defined via the Serre construction by an abelian surface in P1 x P3. The bundle is stable with respect to O(1,1), its jumping lines are determined. Morover it is shown that it is closely related to a double structue on P1 x P1 embedded in P1 x P3 as well as to a certain pencil of quadrics of degree 4 in P3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9506021","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":"2026-05-18T01:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3Yw/byoLxVk8Zww9GoIcTRy50hURhgWGw71W9VNBt62w7H03HIx2zGXaAse+y5O6Am+tbVd/5sEjd4wcaqxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:31:59.888445Z"},"content_sha256":"6ed5f3ce2e101906d3c8af96cebb07e20c707d7fe175f14c1eb78828e526182e","schema_version":"1.0","event_id":"sha256:6ed5f3ce2e101906d3c8af96cebb07e20c707d7fe175f14c1eb78828e526182e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/bundle.json","state_url":"https://pith.science/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/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":"2026-06-09T01:31:59Z","links":{"resolver":"https://pith.science/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3","bundle":"https://pith.science/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/bundle.json","state":"https://pith.science/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SVF2JQJI5JYL2EQQXSNSEXQO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:4SVF2JQJI5JYL2EQQXSNSEXQO3","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":"8a649070f1ad74a63fb7916d7efe42f19b7b116c472236c89f43694f93fb1c5f","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-26T13:12:44Z","title_canon_sha256":"70dada24a3c57e13696cbacfbbe4b1c1c42f817bdb742ff4fd8d17750f57b85a"},"schema_version":"1.0","source":{"id":"alg-geom/9506021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9506021","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9506021v1","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9506021","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"4SVF2JQJI5JY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4SVF2JQJI5JYL2EQ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4SVF2JQJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6ed5f3ce2e101906d3c8af96cebb07e20c707d7fe175f14c1eb78828e526182e","target":"graph","created_at":"2026-05-18T01:37:42Z","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":"The paper studies a rank 2 vector bundle on P1 x P3. Similarly to the Horrocks - Mumford bundle on P4 this vector bundle encodes a lot of geometric information. It is defined via the Serre construction by an abelian surface in P1 x P3. The bundle is stable with respect to O(1,1), its jumping lines are determined. Morover it is shown that it is closely related to a double structue on P1 x P1 embedded in P1 x P3 as well as to a certain pencil of quadrics of degree 4 in P3.","authors_text":"H. Lange","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1995-06-26T13:12:44Z","title":"A Vector Bundle of Rank 2 on P1 x P3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9506021","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":"sha256:7337a2f8c53b415ded9135caf40cf8262f26aee1faf0a6ab49e4f75d339427ee","target":"record","created_at":"2026-05-18T01:37:42Z","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":"8a649070f1ad74a63fb7916d7efe42f19b7b116c472236c89f43694f93fb1c5f","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-26T13:12:44Z","title_canon_sha256":"70dada24a3c57e13696cbacfbbe4b1c1c42f817bdb742ff4fd8d17750f57b85a"},"schema_version":"1.0","source":{"id":"alg-geom/9506021","kind":"arxiv","version":1}},"canonical_sha256":"e4aa5d2609475385e89085e4d912f076ea586a417cc033c3732ad325a865dd9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4aa5d2609475385e89085e4d912f076ea586a417cc033c3732ad325a865dd9e","first_computed_at":"2026-05-18T01:37:42.924985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:42.924985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0dwd9tQVQEfhOeOv8oHALBnFbv/1uTrN/SqFPcPFdC8sHE+GGcGigBs0KNZldOam/aVGqn8KlaJIcwT7MFb0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:42.925792Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9506021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7337a2f8c53b415ded9135caf40cf8262f26aee1faf0a6ab49e4f75d339427ee","sha256:6ed5f3ce2e101906d3c8af96cebb07e20c707d7fe175f14c1eb78828e526182e"],"state_sha256":"462255f8d3c1a02e1782d176c443a71f91272c8246eef974b57df14bbe9e1687"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V4HdgkwUHyjzanRVobx7tTDA81IBRJRY9vcKnN6tu5MIAyKtaj1nr83T5kehGPt4v8+hpFbR/zbTB9OQn2QxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:31:59.891610Z","bundle_sha256":"882831276f7f46298a3a965c92f50e9affbb355356288a0958a765de18a55853"}}