{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6TOCGNC2ZSKWXOFUR63WJWC72O","short_pith_number":"pith:6TOCGNC2","canonical_record":{"source":{"id":"1111.6513","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T16:52:20Z","cross_cats_sorted":[],"title_canon_sha256":"d2db396625f1a4b539df8bf59db8a5ada56d83b1c4d6dc05cebc1cb4e8217e6a","abstract_canon_sha256":"8dcd1d4b358f515e45b60d2a0ac47ad82d6f39b9941a7884cc999bfdcfdd2fc3"},"schema_version":"1.0"},"canonical_sha256":"f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243","source":{"kind":"arxiv","id":"1111.6513","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6513","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6513v3","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6513","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"pith_short_12","alias_value":"6TOCGNC2ZSKW","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6TOCGNC2ZSKWXOFU","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6TOCGNC2","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6TOCGNC2ZSKWXOFUR63WJWC72O","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6513","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T16:52:20Z","cross_cats_sorted":[],"title_canon_sha256":"d2db396625f1a4b539df8bf59db8a5ada56d83b1c4d6dc05cebc1cb4e8217e6a","abstract_canon_sha256":"8dcd1d4b358f515e45b60d2a0ac47ad82d6f39b9941a7884cc999bfdcfdd2fc3"},"schema_version":"1.0"},"canonical_sha256":"f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:05.966938Z","signature_b64":"dAasTzLuWfCwuoGm4Ci9ikkXc+BUvZQuNK+JKTAoeK4gJBlL8EgxL33QslgojyqaOP3/MQmLy+NqSSbTSb71BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243","last_reissued_at":"2026-05-18T02:47:05.966561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:05.966561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6513","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":"2026-05-18T02:47:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VN5hvdeAXTT+JQXD4ybZz7+FK7gWHFGpDd46eSBC9UhHsvel8NueaIzlcRrwkxCmccfGWdh6J6pfN/vo808dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:09:51.140913Z"},"content_sha256":"4febf46602616eebc29b79ec9ee5ef9a3caeea061086d9fc54fc8672849343b2","schema_version":"1.0","event_id":"sha256:4febf46602616eebc29b79ec9ee5ef9a3caeea061086d9fc54fc8672849343b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6TOCGNC2ZSKWXOFUR63WJWC72O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some birationality criteria on 3-folds with $p_g>1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Meng Chen","submitted_at":"2011-11-28T16:52:20Z","abstract_excerpt":"We give some birationality criteria for $\\phi_m$ (m=4,5,6,7) on general type 3-folds with $p_g\\geq 2$ by means of an intensive classification."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6513","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":"2026-05-18T02:47:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UD9dqyP47L8s4xkfs3txa64DjJMArrbD64Novn5HjyUAl5YS9VZasb6C0O3F5YzCW24tR9geRpRGSB29NWCDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:09:51.141247Z"},"content_sha256":"742b8c10a73631b8192cfba87fdb3f0a742d165980802cb1ae87ee714ebed8c9","schema_version":"1.0","event_id":"sha256:742b8c10a73631b8192cfba87fdb3f0a742d165980802cb1ae87ee714ebed8c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/bundle.json","state_url":"https://pith.science/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/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":"2026-06-02T23:09:51Z","links":{"resolver":"https://pith.science/pith/6TOCGNC2ZSKWXOFUR63WJWC72O","bundle":"https://pith.science/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/bundle.json","state":"https://pith.science/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6TOCGNC2ZSKWXOFUR63WJWC72O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6TOCGNC2ZSKWXOFUR63WJWC72O","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":"8dcd1d4b358f515e45b60d2a0ac47ad82d6f39b9941a7884cc999bfdcfdd2fc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T16:52:20Z","title_canon_sha256":"d2db396625f1a4b539df8bf59db8a5ada56d83b1c4d6dc05cebc1cb4e8217e6a"},"schema_version":"1.0","source":{"id":"1111.6513","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6513","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6513v3","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6513","created_at":"2026-05-18T02:47:05Z"},{"alias_kind":"pith_short_12","alias_value":"6TOCGNC2ZSKW","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6TOCGNC2ZSKWXOFU","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6TOCGNC2","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:742b8c10a73631b8192cfba87fdb3f0a742d165980802cb1ae87ee714ebed8c9","target":"graph","created_at":"2026-05-18T02:47:05Z","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 give some birationality criteria for $\\phi_m$ (m=4,5,6,7) on general type 3-folds with $p_g\\geq 2$ by means of an intensive classification.","authors_text":"Meng Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T16:52:20Z","title":"Some birationality criteria on 3-folds with $p_g>1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6513","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":"sha256:4febf46602616eebc29b79ec9ee5ef9a3caeea061086d9fc54fc8672849343b2","target":"record","created_at":"2026-05-18T02:47:05Z","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":"8dcd1d4b358f515e45b60d2a0ac47ad82d6f39b9941a7884cc999bfdcfdd2fc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T16:52:20Z","title_canon_sha256":"d2db396625f1a4b539df8bf59db8a5ada56d83b1c4d6dc05cebc1cb4e8217e6a"},"schema_version":"1.0","source":{"id":"1111.6513","kind":"arxiv","version":3}},"canonical_sha256":"f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243","first_computed_at":"2026-05-18T02:47:05.966561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:05.966561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dAasTzLuWfCwuoGm4Ci9ikkXc+BUvZQuNK+JKTAoeK4gJBlL8EgxL33QslgojyqaOP3/MQmLy+NqSSbTSb71BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:05.966938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6513","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4febf46602616eebc29b79ec9ee5ef9a3caeea061086d9fc54fc8672849343b2","sha256:742b8c10a73631b8192cfba87fdb3f0a742d165980802cb1ae87ee714ebed8c9"],"state_sha256":"9f7da5891c0879a220b5cb1cd8c5791e56c8acb20a63efe0e9094ed9f459d0de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6+QV4HoRg7KjCPw3fIXv3y2uFGS76Qs25bH6KsUheQxWFpnRqQUnVlc1vtIobnrV7MDPFJ0la5z677U+n/bmAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:09:51.143444Z","bundle_sha256":"1112af75f43e0dffb35258d9b8561a52c01afd1cb1b4232322329130cbd96bb9"}}