{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QGATKV6XAKQEUDXBQ66IEMOADC","short_pith_number":"pith:QGATKV6X","canonical_record":{"source":{"id":"1304.3993","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T06:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"26621a7540e2e685be3ae9b19fd75ed0bb55d1ae7f7bf7a4e9b4546369998291","abstract_canon_sha256":"5ff074b15cbdc04c3879119e879c30568cf0d66b4336a4acdf24c5c9d801fe08"},"schema_version":"1.0"},"canonical_sha256":"81813557d702a04a0ee187bc8231c0189b8d18ab0256be00c430389411e0c6e3","source":{"kind":"arxiv","id":"1304.3993","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3993","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3993v2","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3993","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"QGATKV6XAKQE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QGATKV6XAKQEUDXB","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QGATKV6X","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QGATKV6XAKQEUDXBQ66IEMOADC","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3993","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T06:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"26621a7540e2e685be3ae9b19fd75ed0bb55d1ae7f7bf7a4e9b4546369998291","abstract_canon_sha256":"5ff074b15cbdc04c3879119e879c30568cf0d66b4336a4acdf24c5c9d801fe08"},"schema_version":"1.0"},"canonical_sha256":"81813557d702a04a0ee187bc8231c0189b8d18ab0256be00c430389411e0c6e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:42.351869Z","signature_b64":"KYh4CoUdvGxqX8/Cep/R3i5wUpqKHP847tzQuULKBWb1dqDt2EeASlsM/MTT8NZUjEndEe1XxOFKn+UOsDm0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81813557d702a04a0ee187bc8231c0189b8d18ab0256be00c430389411e0c6e3","last_reissued_at":"2026-05-18T03:27:42.350995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:42.350995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3993","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":"2026-05-18T03:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qzr79LNJdHd93MAdkacMINlz7GpNQXzzKzwkjHtsGpHV5w4fjOrts5VDLSIL96S5q0fHTM4fwpIqTO0FYUCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T18:17:57.199730Z"},"content_sha256":"65ce0b5000fd0f673f47bb68176692488d4b7d95edb046563f83eb8087d7da61","schema_version":"1.0","event_id":"sha256:65ce0b5000fd0f673f47bb68176692488d4b7d95edb046563f83eb8087d7da61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QGATKV6XAKQEUDXBQ66IEMOADC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Isami Koga, Yasuyuki Nagatomo","submitted_at":"2013-04-15T06:06:41Z","abstract_excerpt":"We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3993","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":"2026-05-18T03:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G3WiXfMDWUzc3WJ3fE8d06oIxxaCTFgnH18309qBzMH5u0GSkEeL+nMT58vfMsu1NgcAAnkTLXU/UmG39u9KCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T18:17:57.200069Z"},"content_sha256":"7953e6621fc973f4c396b7848f3e36bc6b5ad6e365f8615c4c68713aa4a833f9","schema_version":"1.0","event_id":"sha256:7953e6621fc973f4c396b7848f3e36bc6b5ad6e365f8615c4c68713aa4a833f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGATKV6XAKQEUDXBQ66IEMOADC/bundle.json","state_url":"https://pith.science/pith/QGATKV6XAKQEUDXBQ66IEMOADC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGATKV6XAKQEUDXBQ66IEMOADC/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":"2026-06-29T18:17:57Z","links":{"resolver":"https://pith.science/pith/QGATKV6XAKQEUDXBQ66IEMOADC","bundle":"https://pith.science/pith/QGATKV6XAKQEUDXBQ66IEMOADC/bundle.json","state":"https://pith.science/pith/QGATKV6XAKQEUDXBQ66IEMOADC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGATKV6XAKQEUDXBQ66IEMOADC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QGATKV6XAKQEUDXBQ66IEMOADC","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":"5ff074b15cbdc04c3879119e879c30568cf0d66b4336a4acdf24c5c9d801fe08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T06:06:41Z","title_canon_sha256":"26621a7540e2e685be3ae9b19fd75ed0bb55d1ae7f7bf7a4e9b4546369998291"},"schema_version":"1.0","source":{"id":"1304.3993","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3993","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3993v2","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3993","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"QGATKV6XAKQE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QGATKV6XAKQEUDXB","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QGATKV6X","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:7953e6621fc973f4c396b7848f3e36bc6b5ad6e365f8615c4c68713aa4a833f9","target":"graph","created_at":"2026-05-18T03:27:42Z","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":"We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds.","authors_text":"Isami Koga, Yasuyuki Nagatomo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T06:06:41Z","title":"A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3993","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":"sha256:65ce0b5000fd0f673f47bb68176692488d4b7d95edb046563f83eb8087d7da61","target":"record","created_at":"2026-05-18T03:27:42Z","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":"5ff074b15cbdc04c3879119e879c30568cf0d66b4336a4acdf24c5c9d801fe08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T06:06:41Z","title_canon_sha256":"26621a7540e2e685be3ae9b19fd75ed0bb55d1ae7f7bf7a4e9b4546369998291"},"schema_version":"1.0","source":{"id":"1304.3993","kind":"arxiv","version":2}},"canonical_sha256":"81813557d702a04a0ee187bc8231c0189b8d18ab0256be00c430389411e0c6e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81813557d702a04a0ee187bc8231c0189b8d18ab0256be00c430389411e0c6e3","first_computed_at":"2026-05-18T03:27:42.350995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:42.350995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KYh4CoUdvGxqX8/Cep/R3i5wUpqKHP847tzQuULKBWb1dqDt2EeASlsM/MTT8NZUjEndEe1XxOFKn+UOsDm0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:42.351869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3993","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65ce0b5000fd0f673f47bb68176692488d4b7d95edb046563f83eb8087d7da61","sha256:7953e6621fc973f4c396b7848f3e36bc6b5ad6e365f8615c4c68713aa4a833f9"],"state_sha256":"4973709a9e4b4fbe93b25014cdf9c1a255c6c02a8246465587bce2d435c2b3d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KY7SZCzXJgaMC4vu9TQuPw3sfH1BHInCJKWpp1qTnfb7PaM5IccS36Z1Bxoe5/nK9iixl3hqlyU9vZQ5P3kYCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T18:17:57.202417Z","bundle_sha256":"142c34c3d224bda1347fa30f7fd548f07d395baf83fa7a18c55b93b4184bb759"}}