{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VMEACA3WTQHY5ZVDLBL5EIULV4","short_pith_number":"pith:VMEACA3W","canonical_record":{"source":{"id":"1407.3658","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-14T14:06:57Z","cross_cats_sorted":[],"title_canon_sha256":"f6732e9123e03f682f7bca34a346fda7dc3819f2b5f60cea42e1ecbae3a295ee","abstract_canon_sha256":"8de99c208cf8870b544fc9651ce85fe86d04d3f4c2ea649f18d3ec8a2c8f488b"},"schema_version":"1.0"},"canonical_sha256":"ab080103769c0f8ee6a35857d2228baf19e5d209c583df030b26620c52a278eb","source":{"kind":"arxiv","id":"1407.3658","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3658","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3658v3","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3658","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"VMEACA3WTQHY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VMEACA3WTQHY5ZVD","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VMEACA3W","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VMEACA3WTQHY5ZVDLBL5EIULV4","target":"record","payload":{"canonical_record":{"source":{"id":"1407.3658","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-14T14:06:57Z","cross_cats_sorted":[],"title_canon_sha256":"f6732e9123e03f682f7bca34a346fda7dc3819f2b5f60cea42e1ecbae3a295ee","abstract_canon_sha256":"8de99c208cf8870b544fc9651ce85fe86d04d3f4c2ea649f18d3ec8a2c8f488b"},"schema_version":"1.0"},"canonical_sha256":"ab080103769c0f8ee6a35857d2228baf19e5d209c583df030b26620c52a278eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.714690Z","signature_b64":"9Ef5clqqNTTcHqk67nx71NooiHt+I+Tk4wj1f2n0HBvRGGOAXKHRKRML9z8MxNw3G5e5XVFuE3ktZURhh9+3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab080103769c0f8ee6a35857d2228baf19e5d209c583df030b26620c52a278eb","last_reissued_at":"2026-05-18T00:34:10.714087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.714087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.3658","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iD02/Bfek+9T8V3fKbdzgXmcJ8h2Ei2LXsPx/JkZfVIvnIunOcrgoMfgay3EMg27h/jMVAh9eZO2db0Dl+0ZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:57:39.249891Z"},"content_sha256":"e3b6fc508573485785e888277bb49d96841423fd4631dcd435589aa37f3a253b","schema_version":"1.0","event_id":"sha256:e3b6fc508573485785e888277bb49d96841423fd4631dcd435589aa37f3a253b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VMEACA3WTQHY5ZVDLBL5EIULV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fano manifolds whose elementary contractions are smooth $\\mathbb P^1$-fibrations: A geometric characterization of flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gianluca Occhetta, Jaros{\\l}aw A. Wi\\'sniewski, Kiwamu Watanabe, Luis E. Sol\\'a Conde","submitted_at":"2014-07-14T14:06:57Z","abstract_excerpt":"The present paper provides a geometric characterization of complete flag varieties for semisimple algebraic groups. Namely, if $X$ is a Fano manifold whose all elementary contractions are $\\mathbb P^1$-fibrations then $X$ is isomorphic to the complete flag manifold $G/B$ where $G$ is a semi-simple Lie algebraic group and $B$ is a Borel subgroup of $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3658","kind":"arxiv","version":3},"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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VQ6A6O0xuEevxpw/aCXwZlbM5MDvj5ZsYlpPZkjqerTaFkKBYiJK8d6qk7p+rY/51EceE1DHBJO0HTOzuXhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:57:39.250240Z"},"content_sha256":"5065c96dc497a7a0a28e58040834b97ecf550f41ecb53eaf47c4ef151e43a9dc","schema_version":"1.0","event_id":"sha256:5065c96dc497a7a0a28e58040834b97ecf550f41ecb53eaf47c4ef151e43a9dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/bundle.json","state_url":"https://pith.science/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/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":"2026-06-05T12:57:39Z","links":{"resolver":"https://pith.science/pith/VMEACA3WTQHY5ZVDLBL5EIULV4","bundle":"https://pith.science/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/bundle.json","state":"https://pith.science/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMEACA3WTQHY5ZVDLBL5EIULV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VMEACA3WTQHY5ZVDLBL5EIULV4","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":"8de99c208cf8870b544fc9651ce85fe86d04d3f4c2ea649f18d3ec8a2c8f488b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-14T14:06:57Z","title_canon_sha256":"f6732e9123e03f682f7bca34a346fda7dc3819f2b5f60cea42e1ecbae3a295ee"},"schema_version":"1.0","source":{"id":"1407.3658","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3658","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3658v3","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3658","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"VMEACA3WTQHY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VMEACA3WTQHY5ZVD","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VMEACA3W","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:5065c96dc497a7a0a28e58040834b97ecf550f41ecb53eaf47c4ef151e43a9dc","target":"graph","created_at":"2026-05-18T00:34:10Z","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 present paper provides a geometric characterization of complete flag varieties for semisimple algebraic groups. Namely, if $X$ is a Fano manifold whose all elementary contractions are $\\mathbb P^1$-fibrations then $X$ is isomorphic to the complete flag manifold $G/B$ where $G$ is a semi-simple Lie algebraic group and $B$ is a Borel subgroup of $G$.","authors_text":"Gianluca Occhetta, Jaros{\\l}aw A. Wi\\'sniewski, Kiwamu Watanabe, Luis E. Sol\\'a Conde","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-14T14:06:57Z","title":"Fano manifolds whose elementary contractions are smooth $\\mathbb P^1$-fibrations: A geometric characterization of flag varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3658","kind":"arxiv","version":3},"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:e3b6fc508573485785e888277bb49d96841423fd4631dcd435589aa37f3a253b","target":"record","created_at":"2026-05-18T00:34:10Z","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":"8de99c208cf8870b544fc9651ce85fe86d04d3f4c2ea649f18d3ec8a2c8f488b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-14T14:06:57Z","title_canon_sha256":"f6732e9123e03f682f7bca34a346fda7dc3819f2b5f60cea42e1ecbae3a295ee"},"schema_version":"1.0","source":{"id":"1407.3658","kind":"arxiv","version":3}},"canonical_sha256":"ab080103769c0f8ee6a35857d2228baf19e5d209c583df030b26620c52a278eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab080103769c0f8ee6a35857d2228baf19e5d209c583df030b26620c52a278eb","first_computed_at":"2026-05-18T00:34:10.714087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.714087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Ef5clqqNTTcHqk67nx71NooiHt+I+Tk4wj1f2n0HBvRGGOAXKHRKRML9z8MxNw3G5e5XVFuE3ktZURhh9+3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.714690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3658","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3b6fc508573485785e888277bb49d96841423fd4631dcd435589aa37f3a253b","sha256:5065c96dc497a7a0a28e58040834b97ecf550f41ecb53eaf47c4ef151e43a9dc"],"state_sha256":"d1fd53aeff194ccf40e50126f87afcaee85f36a40f126a1a0259fa37eb18b7af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jcOv90yRwzYcmpePTyz5kc/g+9Vu7l3EIrMrMdE0mEq1ZTqbfF+ZVUJbyO9vGr0a1E7IAyYZzK18Po1hb4QdAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:57:39.252198Z","bundle_sha256":"35282217e311616da973e855b88a0eaa06c0806f4203daae2d5052965c69fff9"}}