{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YDZKT5432BRNO7KOYLB3R4HP7G","short_pith_number":"pith:YDZKT543","canonical_record":{"source":{"id":"1502.06205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-22T10:08:10Z","cross_cats_sorted":[],"title_canon_sha256":"606c41773ecfb2ca44560ce8ef283cd491f34f5120d608229442117822a8b63f","abstract_canon_sha256":"40c46f5e83934d67bc56f6f41ef39cdec5e61d21912554683c94ce26e0675831"},"schema_version":"1.0"},"canonical_sha256":"c0f2a9f79bd062d77d4ec2c3b8f0eff9a7995c0d12296ac9990f5ef525ab0b01","source":{"kind":"arxiv","id":"1502.06205","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06205","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06205v2","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06205","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"YDZKT5432BRN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YDZKT5432BRNO7KO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YDZKT543","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YDZKT5432BRNO7KOYLB3R4HP7G","target":"record","payload":{"canonical_record":{"source":{"id":"1502.06205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-22T10:08:10Z","cross_cats_sorted":[],"title_canon_sha256":"606c41773ecfb2ca44560ce8ef283cd491f34f5120d608229442117822a8b63f","abstract_canon_sha256":"40c46f5e83934d67bc56f6f41ef39cdec5e61d21912554683c94ce26e0675831"},"schema_version":"1.0"},"canonical_sha256":"c0f2a9f79bd062d77d4ec2c3b8f0eff9a7995c0d12296ac9990f5ef525ab0b01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:12.864975Z","signature_b64":"MoYyKgHqTBiE1ef4wWFBrYJ16v3vRB/3ZmtX3+LaeL9i2zu4OCHRC8kklTq/dfv8vhsiHKoU8daF8DsSmkLGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0f2a9f79bd062d77d4ec2c3b8f0eff9a7995c0d12296ac9990f5ef525ab0b01","last_reissued_at":"2026-05-18T01:17:12.864293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:12.864293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.06205","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":"2026-05-18T01:17:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K/4JC67DhdFbrLq7M3KBZha04QsvnU8/ireVTSkKZVjTMle9qC7oO0+OonbPTppzmFUcHOwO3qyCqrkdM8HVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:14:08.951845Z"},"content_sha256":"489b6316f600a05e6297339e90132a2edc68414aa3c04ab11b68f95c8c85444b","schema_version":"1.0","event_id":"sha256:489b6316f600a05e6297339e90132a2edc68414aa3c04ab11b68f95c8c85444b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YDZKT5432BRNO7KOYLB3R4HP7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An almost complex Castelnuovo de Franchis theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Indranil Biswas, Mahan Mj","submitted_at":"2015-02-22T10:08:10Z","abstract_excerpt":"Given an almost complex structure on a subbundle of the cotangent bundle, we prove a Castelnuovo--de Franchis type theorem for it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06205","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":"2026-05-18T01:17:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gjXWL4DGaM0DEspAMO7Jybumj1MQaHT7p39V3WLXPrbSiEuxE5ku51Ed/Htdx1hJRbQIhRWB4oentEcncEeYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:14:08.952191Z"},"content_sha256":"4a8290ddefcc8fc9bda454255b68f4143c3fac661449be21c33b9a10aba63fc2","schema_version":"1.0","event_id":"sha256:4a8290ddefcc8fc9bda454255b68f4143c3fac661449be21c33b9a10aba63fc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YDZKT5432BRNO7KOYLB3R4HP7G/bundle.json","state_url":"https://pith.science/pith/YDZKT5432BRNO7KOYLB3R4HP7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YDZKT5432BRNO7KOYLB3R4HP7G/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":"2026-06-02T03:14:08Z","links":{"resolver":"https://pith.science/pith/YDZKT5432BRNO7KOYLB3R4HP7G","bundle":"https://pith.science/pith/YDZKT5432BRNO7KOYLB3R4HP7G/bundle.json","state":"https://pith.science/pith/YDZKT5432BRNO7KOYLB3R4HP7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YDZKT5432BRNO7KOYLB3R4HP7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YDZKT5432BRNO7KOYLB3R4HP7G","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":"40c46f5e83934d67bc56f6f41ef39cdec5e61d21912554683c94ce26e0675831","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-22T10:08:10Z","title_canon_sha256":"606c41773ecfb2ca44560ce8ef283cd491f34f5120d608229442117822a8b63f"},"schema_version":"1.0","source":{"id":"1502.06205","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06205","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06205v2","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06205","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"YDZKT5432BRN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YDZKT5432BRNO7KO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YDZKT543","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:4a8290ddefcc8fc9bda454255b68f4143c3fac661449be21c33b9a10aba63fc2","target":"graph","created_at":"2026-05-18T01:17:12Z","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":"Given an almost complex structure on a subbundle of the cotangent bundle, we prove a Castelnuovo--de Franchis type theorem for it.","authors_text":"Indranil Biswas, Mahan Mj","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-22T10:08:10Z","title":"An almost complex Castelnuovo de Franchis theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06205","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":"sha256:489b6316f600a05e6297339e90132a2edc68414aa3c04ab11b68f95c8c85444b","target":"record","created_at":"2026-05-18T01:17:12Z","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":"40c46f5e83934d67bc56f6f41ef39cdec5e61d21912554683c94ce26e0675831","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-22T10:08:10Z","title_canon_sha256":"606c41773ecfb2ca44560ce8ef283cd491f34f5120d608229442117822a8b63f"},"schema_version":"1.0","source":{"id":"1502.06205","kind":"arxiv","version":2}},"canonical_sha256":"c0f2a9f79bd062d77d4ec2c3b8f0eff9a7995c0d12296ac9990f5ef525ab0b01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0f2a9f79bd062d77d4ec2c3b8f0eff9a7995c0d12296ac9990f5ef525ab0b01","first_computed_at":"2026-05-18T01:17:12.864293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:12.864293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MoYyKgHqTBiE1ef4wWFBrYJ16v3vRB/3ZmtX3+LaeL9i2zu4OCHRC8kklTq/dfv8vhsiHKoU8daF8DsSmkLGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:12.864975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06205","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:489b6316f600a05e6297339e90132a2edc68414aa3c04ab11b68f95c8c85444b","sha256:4a8290ddefcc8fc9bda454255b68f4143c3fac661449be21c33b9a10aba63fc2"],"state_sha256":"8ace659924f7aeaf35ced5fd03a4379d626bae9d286b98cd94f1d1aadd486719"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SdrzEi6K/tH751BT7v29z8GT8QC/8iIaob60nheWLwSIwvBUHTX6a8P1M7kQwPvs1dJHIrRlJgely8qap2tMBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:14:08.954232Z","bundle_sha256":"1f72aef0abc637cf15ffe2cbaa1f301440e23ac7b35b5ad005f899afd669d474"}}