{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6ISQMBCB6BYAEF4VKCRZ77KFC7","short_pith_number":"pith:6ISQMBCB","canonical_record":{"source":{"id":"1306.4689","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T20:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"9f453851d8808bf1bd9db56194c6031f509f5c3bec0fb9e868820a99b6e5d417","abstract_canon_sha256":"4419fd46f7d7e850db17afd09575743ff3b5adf96d7246ec1ef7a455c44b5855"},"schema_version":"1.0"},"canonical_sha256":"f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c","source":{"kind":"arxiv","id":"1306.4689","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4689","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4689v3","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4689","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"6ISQMBCB6BYA","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6ISQMBCB6BYAEF4V","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6ISQMBCB","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6ISQMBCB6BYAEF4VKCRZ77KFC7","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4689","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T20:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"9f453851d8808bf1bd9db56194c6031f509f5c3bec0fb9e868820a99b6e5d417","abstract_canon_sha256":"4419fd46f7d7e850db17afd09575743ff3b5adf96d7246ec1ef7a455c44b5855"},"schema_version":"1.0"},"canonical_sha256":"f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:44.947116Z","signature_b64":"RtVMScx84wpyIXkEic8aAk7yL6lMg6w2rgjFYwLi0pLcfz8UaItyfichH/pyBEoIZE4II2YwPUu5ArKrQYDnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c","last_reissued_at":"2026-05-18T03:15:44.946274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:44.946274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4689","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":"2026-05-18T03:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OM4iPpubQLOSiClKJMU9pa8d1pkswiDFn2mL52MjiG/NuB5WRGfly2VyUIwoKIKHy2i7XlgKEcIs92A5YYnqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:18:12.087123Z"},"content_sha256":"ec030b2164252fba0938a1046551545c45790ce132f458759f8c2f2b6edcb0e1","schema_version":"1.0","event_id":"sha256:ec030b2164252fba0938a1046551545c45790ce132f458759f8c2f2b6edcb0e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6ISQMBCB6BYAEF4VKCRZ77KFC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the anti-canonical ring and varieties of Fano type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Paolo Cascini, Yoshinori Gongyo","submitted_at":"2013-06-19T20:11:07Z","abstract_excerpt":"We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano type depending on the singularities of these models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4689","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":"2026-05-18T03:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8qZDF5hTGR85/zPkJq30Krx2S+R+oPZOrDahF0bocG1Pl5cUU+q8atCInovtnjJ3bKLT60EEhb4fpdTgpB6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:18:12.087537Z"},"content_sha256":"f168d5432f65fea6806a91082ed42aa8b5bb7cf0584c9f5ba26659e6a17ff682","schema_version":"1.0","event_id":"sha256:f168d5432f65fea6806a91082ed42aa8b5bb7cf0584c9f5ba26659e6a17ff682"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/bundle.json","state_url":"https://pith.science/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/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":"2026-06-02T22:18:12Z","links":{"resolver":"https://pith.science/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7","bundle":"https://pith.science/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/bundle.json","state":"https://pith.science/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ISQMBCB6BYAEF4VKCRZ77KFC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6ISQMBCB6BYAEF4VKCRZ77KFC7","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":"4419fd46f7d7e850db17afd09575743ff3b5adf96d7246ec1ef7a455c44b5855","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T20:11:07Z","title_canon_sha256":"9f453851d8808bf1bd9db56194c6031f509f5c3bec0fb9e868820a99b6e5d417"},"schema_version":"1.0","source":{"id":"1306.4689","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4689","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4689v3","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4689","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"6ISQMBCB6BYA","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6ISQMBCB6BYAEF4V","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6ISQMBCB","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:f168d5432f65fea6806a91082ed42aa8b5bb7cf0584c9f5ba26659e6a17ff682","target":"graph","created_at":"2026-05-18T03:15:44Z","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 study the anti-canonical ring of a projective variety and we characterise varieties of log Fano type depending on the singularities of these models.","authors_text":"Paolo Cascini, Yoshinori Gongyo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T20:11:07Z","title":"On the anti-canonical ring and varieties of Fano type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4689","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:ec030b2164252fba0938a1046551545c45790ce132f458759f8c2f2b6edcb0e1","target":"record","created_at":"2026-05-18T03:15:44Z","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":"4419fd46f7d7e850db17afd09575743ff3b5adf96d7246ec1ef7a455c44b5855","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T20:11:07Z","title_canon_sha256":"9f453851d8808bf1bd9db56194c6031f509f5c3bec0fb9e868820a99b6e5d417"},"schema_version":"1.0","source":{"id":"1306.4689","kind":"arxiv","version":3}},"canonical_sha256":"f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c","first_computed_at":"2026-05-18T03:15:44.946274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:44.946274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtVMScx84wpyIXkEic8aAk7yL6lMg6w2rgjFYwLi0pLcfz8UaItyfichH/pyBEoIZE4II2YwPUu5ArKrQYDnCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:44.947116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4689","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec030b2164252fba0938a1046551545c45790ce132f458759f8c2f2b6edcb0e1","sha256:f168d5432f65fea6806a91082ed42aa8b5bb7cf0584c9f5ba26659e6a17ff682"],"state_sha256":"dc72e50ffc4919c9d118924464879219d8afdbc3c46e645942496d4617bd6868"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ANz1O5JQfWCRdCfritR8FzejfJOpMbqAKzz3f6ShoUyE2gmQHbI+pgEbIRDnH24vsurp4aG91KeFQJWSCbjCDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:18:12.089525Z","bundle_sha256":"f958dd788a20b2427405a22cba32c2aa893ff799e5fa2556e57b3cbc37f39d1c"}}