{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7IAMYCGLBDB2FWYYIZRPHZ2TTB","short_pith_number":"pith:7IAMYCGL","canonical_record":{"source":{"id":"1203.1360","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-07T00:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"7d4eebe0745d393285c8504dcfd6124e97b103e34802ad4d9c4e443773ccc001","abstract_canon_sha256":"6ea440f192bdf1c36721b0f2190d98ad9092165c79fd2c888cef0bca8b722bd9"},"schema_version":"1.0"},"canonical_sha256":"fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902","source":{"kind":"arxiv","id":"1203.1360","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1360","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1360v4","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1360","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"7IAMYCGLBDB2","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7IAMYCGLBDB2FWYY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7IAMYCGL","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7IAMYCGLBDB2FWYYIZRPHZ2TTB","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1360","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-07T00:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"7d4eebe0745d393285c8504dcfd6124e97b103e34802ad4d9c4e443773ccc001","abstract_canon_sha256":"6ea440f192bdf1c36721b0f2190d98ad9092165c79fd2c888cef0bca8b722bd9"},"schema_version":"1.0"},"canonical_sha256":"fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:54.298377Z","signature_b64":"YTQB3eETShf/IP4hkiohM/YY2N2o35nEsNEa/ZxikYWTIMFpvLbmhTAG3ySGwigQwfpoflDdJ1HjoYW0J7SeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902","last_reissued_at":"2026-05-18T02:53:54.297530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:54.297530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1360","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZB1PuwMlr46vGr7AvARiq9JNO5MpR3fEnDyvly/xYe2djgWimdW4f+RDROQXrbc0QdhS0vkN49gs8GCLBXUwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:53:49.470686Z"},"content_sha256":"b5cb7aecff30eeb1e1e1ea8f5c6fd9407cf6a03915798d366763129c82b5e2f0","schema_version":"1.0","event_id":"sha256:b5cb7aecff30eeb1e1e1ea8f5c6fd9407cf6a03915798d366763129c82b5e2f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7IAMYCGLBDB2FWYYIZRPHZ2TTB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yuchen Zhang","submitted_at":"2012-03-07T00:53:13Z","abstract_excerpt":"We show that if X is a nonsingular projective variety of general type over an algebraically closed field k of positive characteristic and X has maximal Albanese dimension and the Albanese map is separable, then |4K_X| induces a birational map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1360","kind":"arxiv","version":4},"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":"2026-05-18T02:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4jLYsqu5uNQniA7ii0zFscEXYfz01bLHMmF/H6SVktMdiOkgf9uTg7jr83tIsL0wNmrQZcNaxWa6HhrQ0rFqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:53:49.471380Z"},"content_sha256":"6c3182b0f4c8e3aac777834ee9c07cd91c2567a45d1a87aeede837a15c28e145","schema_version":"1.0","event_id":"sha256:6c3182b0f4c8e3aac777834ee9c07cd91c2567a45d1a87aeede837a15c28e145"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/bundle.json","state_url":"https://pith.science/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/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":"2026-06-06T19:53:49Z","links":{"resolver":"https://pith.science/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB","bundle":"https://pith.science/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/bundle.json","state":"https://pith.science/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7IAMYCGLBDB2FWYYIZRPHZ2TTB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7IAMYCGLBDB2FWYYIZRPHZ2TTB","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":"6ea440f192bdf1c36721b0f2190d98ad9092165c79fd2c888cef0bca8b722bd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-07T00:53:13Z","title_canon_sha256":"7d4eebe0745d393285c8504dcfd6124e97b103e34802ad4d9c4e443773ccc001"},"schema_version":"1.0","source":{"id":"1203.1360","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1360","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1360v4","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1360","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"7IAMYCGLBDB2","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7IAMYCGLBDB2FWYY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7IAMYCGL","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:6c3182b0f4c8e3aac777834ee9c07cd91c2567a45d1a87aeede837a15c28e145","target":"graph","created_at":"2026-05-18T02:53:54Z","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 show that if X is a nonsingular projective variety of general type over an algebraically closed field k of positive characteristic and X has maximal Albanese dimension and the Albanese map is separable, then |4K_X| induces a birational map.","authors_text":"Yuchen Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-07T00:53:13Z","title":"Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1360","kind":"arxiv","version":4},"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:b5cb7aecff30eeb1e1e1ea8f5c6fd9407cf6a03915798d366763129c82b5e2f0","target":"record","created_at":"2026-05-18T02:53:54Z","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":"6ea440f192bdf1c36721b0f2190d98ad9092165c79fd2c888cef0bca8b722bd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-07T00:53:13Z","title_canon_sha256":"7d4eebe0745d393285c8504dcfd6124e97b103e34802ad4d9c4e443773ccc001"},"schema_version":"1.0","source":{"id":"1203.1360","kind":"arxiv","version":4}},"canonical_sha256":"fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa00cc08cb08c3a2db184662f3e75398561f8c9f01ef15c17cdd02eefbc50902","first_computed_at":"2026-05-18T02:53:54.297530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:54.297530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YTQB3eETShf/IP4hkiohM/YY2N2o35nEsNEa/ZxikYWTIMFpvLbmhTAG3ySGwigQwfpoflDdJ1HjoYW0J7SeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:54.298377Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1360","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5cb7aecff30eeb1e1e1ea8f5c6fd9407cf6a03915798d366763129c82b5e2f0","sha256:6c3182b0f4c8e3aac777834ee9c07cd91c2567a45d1a87aeede837a15c28e145"],"state_sha256":"ef90149dd0a38ba92f79ea451d8ed0fb10277dd72cf7060d9a56c3c771d99623"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bV/b2DMx/ss61MGlArIS4L8UzM2go9LFlLRlvNv8U/2Vf6hm7fQL0sK76mnahsIMoNVY4F5gNTJM1iP8nwqWBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:53:49.475119Z","bundle_sha256":"0c740fed0686027cf52a5abe6917ef51a1f9e75d5fdd364c70ee3cf372e9e5a5"}}