{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IE4BX5VJKPSQAGD6H6ZL7XDDOC","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":"b7123b1970027f1e72212da1634dd6aa0ca91916dcace3eff00cca3e61dad435","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-31T00:42:26Z","title_canon_sha256":"a913aa0ebc230804da609799524f86a5a6654bec6a9550ee15461d70e65bf19d"},"schema_version":"1.0","source":{"id":"1801.00214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00214","created_at":"2026-05-18T00:26:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00214v1","created_at":"2026-05-18T00:26:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00214","created_at":"2026-05-18T00:26:59Z"},{"alias_kind":"pith_short_12","alias_value":"IE4BX5VJKPSQ","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IE4BX5VJKPSQAGD6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IE4BX5VJ","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:673ccc7ecf60f171c34c9fffae59610a360971ec5659e3dad6c00aeee0fdad96","target":"graph","created_at":"2026-05-18T00:26:59Z","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 announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamically coherent. Detailed proofs are long and technical and will appear later.","authors_text":"Rafael Potrie, Sergio Fenley, Steven Frankel, Thomas Barthelm\\'e","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-31T00:42:26Z","title":"Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00214","kind":"arxiv","version":1},"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":"sha256:9daf7a5eec1d06d338c9787086ad2c782f3e496672f7dfffbfa6c9c5c577377f","target":"record","created_at":"2026-05-18T00:26:59Z","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":"b7123b1970027f1e72212da1634dd6aa0ca91916dcace3eff00cca3e61dad435","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-31T00:42:26Z","title_canon_sha256":"a913aa0ebc230804da609799524f86a5a6654bec6a9550ee15461d70e65bf19d"},"schema_version":"1.0","source":{"id":"1801.00214","kind":"arxiv","version":1}},"canonical_sha256":"41381bf6a953e500187e3fb2bfdc63709a80569b5bfbb3644c2236bffb29b884","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41381bf6a953e500187e3fb2bfdc63709a80569b5bfbb3644c2236bffb29b884","first_computed_at":"2026-05-18T00:26:59.079140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:59.079140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ffcnT0PmwSDZCIV74zB8Uj+brmPkPkCIrPMLUbhfuWLQAU1DWZuqBfzJE/4vM8tYs9C9u673BhviCZuq2y7xDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:59.079798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9daf7a5eec1d06d338c9787086ad2c782f3e496672f7dfffbfa6c9c5c577377f","sha256:673ccc7ecf60f171c34c9fffae59610a360971ec5659e3dad6c00aeee0fdad96"],"state_sha256":"f12ffc4c580bcf833945af3aa28bacf4901db2f5561be9abb40452992a112b94"}