{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UOA7HPJUTIY4UBVKSRG3E2B6AO","short_pith_number":"pith:UOA7HPJU","canonical_record":{"source":{"id":"1903.09264","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-03-21T22:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"e62814d72df316d6391c288ba3558b1e183e8fee26689865731a5b2834bd6c4d","abstract_canon_sha256":"31493fbfa2a86820d288d019a54d2d102937f3a7163968b19ed97529337e8d01"},"schema_version":"1.0"},"canonical_sha256":"a381f3bd349a31ca06aa944db2683e03bc68ecbb8bb60716952839f67f535fec","source":{"kind":"arxiv","id":"1903.09264","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09264","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09264v4","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09264","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_12","alias_value":"UOA7HPJUTIY4","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_16","alias_value":"UOA7HPJUTIY4UBVK","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_8","alias_value":"UOA7HPJU","created_at":"2026-07-05T01:13:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UOA7HPJUTIY4UBVKSRG3E2B6AO","target":"record","payload":{"canonical_record":{"source":{"id":"1903.09264","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-03-21T22:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"e62814d72df316d6391c288ba3558b1e183e8fee26689865731a5b2834bd6c4d","abstract_canon_sha256":"31493fbfa2a86820d288d019a54d2d102937f3a7163968b19ed97529337e8d01"},"schema_version":"1.0"},"canonical_sha256":"a381f3bd349a31ca06aa944db2683e03bc68ecbb8bb60716952839f67f535fec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:13:52.634106Z","signature_b64":"5YTfseKHFX5Fio+p/+Z9Ie8t0N+2PjZVZ809vLEoi25PERzJTbh3m8dQpzZ+dSTJRkWXRL44kqy3BtDl/W4/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a381f3bd349a31ca06aa944db2683e03bc68ecbb8bb60716952839f67f535fec","last_reissued_at":"2026-07-05T01:13:52.633706Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:13:52.633706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.09264","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":"2026-07-05T01:13:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ToZin2uaKRWriW48xWHrSt7cCqetxYfrIvTKEcsImgK9jf1h/7w8sj3oigEke+Bb7M/f9/g73iQyc6ex1qDCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:57:37.455965Z"},"content_sha256":"1f8c2dbaaa7cab656dd090331df417ae37332786722a78119eb27aa1e4f6215b","schema_version":"1.0","event_id":"sha256:1f8c2dbaaa7cab656dd090331df417ae37332786722a78119eb27aa1e4f6215b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UOA7HPJUTIY4UBVKSRG3E2B6AO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of partially hyperbolic diffeomorphisms under some rigid conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Enrique Pujals, Federico Rodriguez-Hertz, Pablo D. Carrasco","submitted_at":"2019-03-21T22:53:01Z","abstract_excerpt":"Consider a three dimensional partially hyperbolic diffeomorphism. It is proven that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) either an Anosov diffeomorphism, a skew-product or the time-one map of an Anosov flow, thus recovering a well known classification conjecture of the second author to this restricted setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09264","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.09264/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:13:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eussFDJPWC+Fc1Wqx2Ajh7AeszWS+izEZxlUyCrkgol1EU/C+PwN/RHycxEXLONlS9ixlTyrOrRJL1bGx0emAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:57:37.456455Z"},"content_sha256":"8a3924ce696bfcd2614246919d1fad4b0ee2edfee682d7fcb4f1f8c3520f029a","schema_version":"1.0","event_id":"sha256:8a3924ce696bfcd2614246919d1fad4b0ee2edfee682d7fcb4f1f8c3520f029a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/bundle.json","state_url":"https://pith.science/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/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":"2026-08-16T15:57:37Z","links":{"resolver":"https://pith.science/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO","bundle":"https://pith.science/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/bundle.json","state":"https://pith.science/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOA7HPJUTIY4UBVKSRG3E2B6AO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UOA7HPJUTIY4UBVKSRG3E2B6AO","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":"31493fbfa2a86820d288d019a54d2d102937f3a7163968b19ed97529337e8d01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-03-21T22:53:01Z","title_canon_sha256":"e62814d72df316d6391c288ba3558b1e183e8fee26689865731a5b2834bd6c4d"},"schema_version":"1.0","source":{"id":"1903.09264","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09264","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09264v4","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09264","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_12","alias_value":"UOA7HPJUTIY4","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_16","alias_value":"UOA7HPJUTIY4UBVK","created_at":"2026-07-05T01:13:52Z"},{"alias_kind":"pith_short_8","alias_value":"UOA7HPJU","created_at":"2026-07-05T01:13:52Z"}],"graph_snapshots":[{"event_id":"sha256:8a3924ce696bfcd2614246919d1fad4b0ee2edfee682d7fcb4f1f8c3520f029a","target":"graph","created_at":"2026-07-05T01:13:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1903.09264/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Consider a three dimensional partially hyperbolic diffeomorphism. It is proven that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) either an Anosov diffeomorphism, a skew-product or the time-one map of an Anosov flow, thus recovering a well known classification conjecture of the second author to this restricted setting.","authors_text":"Enrique Pujals, Federico Rodriguez-Hertz, Pablo D. Carrasco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-03-21T22:53:01Z","title":"Classification of partially hyperbolic diffeomorphisms under some rigid conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09264","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":"sha256:1f8c2dbaaa7cab656dd090331df417ae37332786722a78119eb27aa1e4f6215b","target":"record","created_at":"2026-07-05T01:13:52Z","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":"31493fbfa2a86820d288d019a54d2d102937f3a7163968b19ed97529337e8d01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-03-21T22:53:01Z","title_canon_sha256":"e62814d72df316d6391c288ba3558b1e183e8fee26689865731a5b2834bd6c4d"},"schema_version":"1.0","source":{"id":"1903.09264","kind":"arxiv","version":4}},"canonical_sha256":"a381f3bd349a31ca06aa944db2683e03bc68ecbb8bb60716952839f67f535fec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a381f3bd349a31ca06aa944db2683e03bc68ecbb8bb60716952839f67f535fec","first_computed_at":"2026-07-05T01:13:52.633706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:52.633706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5YTfseKHFX5Fio+p/+Z9Ie8t0N+2PjZVZ809vLEoi25PERzJTbh3m8dQpzZ+dSTJRkWXRL44kqy3BtDl/W4/AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:52.634106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09264","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f8c2dbaaa7cab656dd090331df417ae37332786722a78119eb27aa1e4f6215b","sha256:8a3924ce696bfcd2614246919d1fad4b0ee2edfee682d7fcb4f1f8c3520f029a"],"state_sha256":"55632680859ef03ef38209b8e319521019bf04fb00a1767e8f8d97e029953873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YYlkh5lLvNXK0HqEmzDDBzac3um3Llh+6bm96eO7sJL3splxEVLeEiczd1de/FX+OAAI7l9b9f6ram6fqEpNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T15:57:37.459521Z","bundle_sha256":"456f96bfc6172fbd7b740ec3a224f2288da13f2f05f733f3272df810d032caa8"}}