{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:64XKZTSPFAZ3DO7QAUD3H4VGIQ","short_pith_number":"pith:64XKZTSP","canonical_record":{"source":{"id":"1311.6612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-26T10:18:15Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"786b5c6e984626ccbc6aae0f8b153a797802372294c76b2b7052d5a7c3308fc2","abstract_canon_sha256":"46b2c9b9330d7f2326deb91738585c6f9dd8a19f2c8b18d8f9a2cea92096180e"},"schema_version":"1.0"},"canonical_sha256":"f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09","source":{"kind":"arxiv","id":"1311.6612","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6612","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6612v1","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6612","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"pith_short_12","alias_value":"64XKZTSPFAZ3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"64XKZTSPFAZ3DO7Q","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"64XKZTSP","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:64XKZTSPFAZ3DO7QAUD3H4VGIQ","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-26T10:18:15Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"786b5c6e984626ccbc6aae0f8b153a797802372294c76b2b7052d5a7c3308fc2","abstract_canon_sha256":"46b2c9b9330d7f2326deb91738585c6f9dd8a19f2c8b18d8f9a2cea92096180e"},"schema_version":"1.0"},"canonical_sha256":"f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:31.648855Z","signature_b64":"Hagy+5H/UgKArn484dvfLy8RBN3OBwPcqNnTUXNxh7DZqN1xvTvUm7T+gTOdqgJNXdfVPElf0+Sfu3OPDb8ABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09","last_reissued_at":"2026-05-18T00:47:31.648348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:31.648348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6612","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":"2026-05-18T00:47:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkAwlJLn3SV8xiDn8tIFIs1HUtxLlr4Ea8X8VB3TxVT7ECwor/9fcf9NZt7an8aLJY9sAMyhcUqasfvh2tiVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:59:56.315012Z"},"content_sha256":"c887681d3e9dacac266e40432ef03173c2e5013beef7757b0aca92d768623db6","schema_version":"1.0","event_id":"sha256:c887681d3e9dacac266e40432ef03173c2e5013beef7757b0aca92d768623db6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:64XKZTSPFAZ3DO7QAUD3H4VGIQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational curves on Calabi-Yau threefolds and a conjecture of Oguiso","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Simone Diverio","submitted_at":"2013-11-26T10:18:15Z","abstract_excerpt":"This short note is an extended abstract of a talk given at the conference \"Komplexe Analysis\" at the Mathematisches Forschungsinstitut Oberwolfach in September 2012. We explained some recent results about the existence of rational curves on Calabi-Yau threefolds as well as a curvature approach to the non hyperbolicity of such manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6612","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":"2026-05-18T00:47:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O4Bcrno9cIv3Or+8xEwOWBM9QjGX7+vOkPekqLMzH47ZFo5BNPzfoHiXyD/16gv5fPtFEYpmCpVjrn6d7ILlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:59:56.315587Z"},"content_sha256":"39f105bc57c74c23b9d9b007600c10e8965e1c64eefd224d0487e6c51feb9285","schema_version":"1.0","event_id":"sha256:39f105bc57c74c23b9d9b007600c10e8965e1c64eefd224d0487e6c51feb9285"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/bundle.json","state_url":"https://pith.science/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/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":"2026-06-08T20:59:56Z","links":{"resolver":"https://pith.science/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ","bundle":"https://pith.science/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/bundle.json","state":"https://pith.science/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64XKZTSPFAZ3DO7QAUD3H4VGIQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:64XKZTSPFAZ3DO7QAUD3H4VGIQ","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":"46b2c9b9330d7f2326deb91738585c6f9dd8a19f2c8b18d8f9a2cea92096180e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-26T10:18:15Z","title_canon_sha256":"786b5c6e984626ccbc6aae0f8b153a797802372294c76b2b7052d5a7c3308fc2"},"schema_version":"1.0","source":{"id":"1311.6612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6612","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6612v1","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6612","created_at":"2026-05-18T00:47:31Z"},{"alias_kind":"pith_short_12","alias_value":"64XKZTSPFAZ3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"64XKZTSPFAZ3DO7Q","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"64XKZTSP","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:39f105bc57c74c23b9d9b007600c10e8965e1c64eefd224d0487e6c51feb9285","target":"graph","created_at":"2026-05-18T00:47:31Z","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":"This short note is an extended abstract of a talk given at the conference \"Komplexe Analysis\" at the Mathematisches Forschungsinstitut Oberwolfach in September 2012. We explained some recent results about the existence of rational curves on Calabi-Yau threefolds as well as a curvature approach to the non hyperbolicity of such manifolds.","authors_text":"Simone Diverio","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-26T10:18:15Z","title":"Rational curves on Calabi-Yau threefolds and a conjecture of Oguiso"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6612","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:c887681d3e9dacac266e40432ef03173c2e5013beef7757b0aca92d768623db6","target":"record","created_at":"2026-05-18T00:47:31Z","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":"46b2c9b9330d7f2326deb91738585c6f9dd8a19f2c8b18d8f9a2cea92096180e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-26T10:18:15Z","title_canon_sha256":"786b5c6e984626ccbc6aae0f8b153a797802372294c76b2b7052d5a7c3308fc2"},"schema_version":"1.0","source":{"id":"1311.6612","kind":"arxiv","version":1}},"canonical_sha256":"f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09","first_computed_at":"2026-05-18T00:47:31.648348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:31.648348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hagy+5H/UgKArn484dvfLy8RBN3OBwPcqNnTUXNxh7DZqN1xvTvUm7T+gTOdqgJNXdfVPElf0+Sfu3OPDb8ABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:31.648855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c887681d3e9dacac266e40432ef03173c2e5013beef7757b0aca92d768623db6","sha256:39f105bc57c74c23b9d9b007600c10e8965e1c64eefd224d0487e6c51feb9285"],"state_sha256":"311fcf093bebb8a94bda5b47d48e989918976032cc94300e1234489b12e71116"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jMK8Zp2w7qesZXwvd4DPSk90q6AK203ulmuBOKx/hODJGNOM6LzmOcP41zbyrmMWjCB+f1beLXGfpk5QKT6mCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:59:56.319724Z","bundle_sha256":"5add65bf083223bc2c473a4685d2d94c20faf2b4f8efd1be23d42fcf46515289"}}