{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:X7CWNGRGZZCPQGL7IJ45HJPINC","short_pith_number":"pith:X7CWNGRG","canonical_record":{"source":{"id":"1404.1581","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-06T14:14:45Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"67f083c043ec9cb240e5c0a94871cce540da93cdac9eeee96f1b304a9c0cf617","abstract_canon_sha256":"1fafd66c1d8d02c869858c88c616e4a723bcae7d7973b9f386161982c4473b5b"},"schema_version":"1.0"},"canonical_sha256":"bfc5669a26ce44f8197f4279d3a5e86897199750805b4d518ca97bf0c858667e","source":{"kind":"arxiv","id":"1404.1581","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1581","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1581v3","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1581","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"X7CWNGRGZZCP","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"X7CWNGRGZZCPQGL7","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"X7CWNGRG","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:X7CWNGRGZZCPQGL7IJ45HJPINC","target":"record","payload":{"canonical_record":{"source":{"id":"1404.1581","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-06T14:14:45Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"67f083c043ec9cb240e5c0a94871cce540da93cdac9eeee96f1b304a9c0cf617","abstract_canon_sha256":"1fafd66c1d8d02c869858c88c616e4a723bcae7d7973b9f386161982c4473b5b"},"schema_version":"1.0"},"canonical_sha256":"bfc5669a26ce44f8197f4279d3a5e86897199750805b4d518ca97bf0c858667e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:28.423644Z","signature_b64":"9gJUe6+xrOs1KjjLTZN3ZJRzrZOz/Csi4zH5Ojq3FbkG5ENpQqolZrtAA3qEjP4W6HMN4Cwzk8CZvhXKIgQbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc5669a26ce44f8197f4279d3a5e86897199750805b4d518ca97bf0c858667e","last_reissued_at":"2026-05-18T02:49:28.422876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:28.422876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.1581","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":"2026-05-18T02:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jh3XK/SMAQjdbJ5EXk6UO6zrD4vtjAnaNMwdVE/SnaBXR7QTDHKXnW1WvlT3so2CZ5fORZBghtB2WvJfrTeuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:16:54.012696Z"},"content_sha256":"007348e4b6908cac2945fc456a7437fb23b63c793a3186e73eb39f72ef6442b2","schema_version":"1.0","event_id":"sha256:007348e4b6908cac2945fc456a7437fb23b63c793a3186e73eb39f72ef6442b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:X7CWNGRGZZCPQGL7IJ45HJPINC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jordan groups and algebraic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Tatiana Bandman, Yuri G. Zarhin","submitted_at":"2014-04-06T14:14:45Z","abstract_excerpt":"We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups holds for the groups of biregular automorphisms of algebraic surfaces. This gives a positive answer to a question of Vladimir L. Popov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1581","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":"2026-05-18T02:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aAV4AkEmIMZcDmEnaLw7aXqMJLfTP4xawvLt2cz232ZqFMJDicLuMngUiFtsc22joVEfoJ0EJIey+FUJzxWkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:16:54.013026Z"},"content_sha256":"dab88b0e2d1bc7f97b6a5589941a1782a30ddbd6032438d82b563a646e5c0b9a","schema_version":"1.0","event_id":"sha256:dab88b0e2d1bc7f97b6a5589941a1782a30ddbd6032438d82b563a646e5c0b9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/bundle.json","state_url":"https://pith.science/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/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":"2026-06-23T00:16:54Z","links":{"resolver":"https://pith.science/pith/X7CWNGRGZZCPQGL7IJ45HJPINC","bundle":"https://pith.science/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/bundle.json","state":"https://pith.science/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7CWNGRGZZCPQGL7IJ45HJPINC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X7CWNGRGZZCPQGL7IJ45HJPINC","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":"1fafd66c1d8d02c869858c88c616e4a723bcae7d7973b9f386161982c4473b5b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-06T14:14:45Z","title_canon_sha256":"67f083c043ec9cb240e5c0a94871cce540da93cdac9eeee96f1b304a9c0cf617"},"schema_version":"1.0","source":{"id":"1404.1581","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1581","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1581v3","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1581","created_at":"2026-05-18T02:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"X7CWNGRGZZCP","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"X7CWNGRGZZCPQGL7","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"X7CWNGRG","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:dab88b0e2d1bc7f97b6a5589941a1782a30ddbd6032438d82b563a646e5c0b9a","target":"graph","created_at":"2026-05-18T02:49:28Z","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 prove that an analogue of Jordan's theorem on finite subgroups of general linear groups holds for the groups of biregular automorphisms of algebraic surfaces. This gives a positive answer to a question of Vladimir L. Popov.","authors_text":"Tatiana Bandman, Yuri G. Zarhin","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-06T14:14:45Z","title":"Jordan groups and algebraic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1581","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":"sha256:007348e4b6908cac2945fc456a7437fb23b63c793a3186e73eb39f72ef6442b2","target":"record","created_at":"2026-05-18T02:49:28Z","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":"1fafd66c1d8d02c869858c88c616e4a723bcae7d7973b9f386161982c4473b5b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-06T14:14:45Z","title_canon_sha256":"67f083c043ec9cb240e5c0a94871cce540da93cdac9eeee96f1b304a9c0cf617"},"schema_version":"1.0","source":{"id":"1404.1581","kind":"arxiv","version":3}},"canonical_sha256":"bfc5669a26ce44f8197f4279d3a5e86897199750805b4d518ca97bf0c858667e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc5669a26ce44f8197f4279d3a5e86897199750805b4d518ca97bf0c858667e","first_computed_at":"2026-05-18T02:49:28.422876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:28.422876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gJUe6+xrOs1KjjLTZN3ZJRzrZOz/Csi4zH5Ojq3FbkG5ENpQqolZrtAA3qEjP4W6HMN4Cwzk8CZvhXKIgQbDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:28.423644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1581","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:007348e4b6908cac2945fc456a7437fb23b63c793a3186e73eb39f72ef6442b2","sha256:dab88b0e2d1bc7f97b6a5589941a1782a30ddbd6032438d82b563a646e5c0b9a"],"state_sha256":"8a812369b4a1963b6022ceb6aed44b2a005067eb816457fbf80b19c71a4ab2f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7C8uWrzQ1GtveUkoftgoqW7o6W8vDFq0lPPuMt8B8bYmp8iXC2iqp+oGpN/Ovx+ZaAXxnO2OMFylb27Kiv6eBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:16:54.014886Z","bundle_sha256":"321d3ca8305d575ec0600c6bb2f17a26e190870652e368812ed1e633b98e8630"}}