{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MDELOKGBOH5MNGHUZVHXDKHGRP","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":"4518dbb6cfafb3408af1d2407ea58852d334f32dad8b3851fd961f5ebf228ab5","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-05T02:14:24Z","title_canon_sha256":"4f05d3d3a467b7e94d58d4a004d12176a9e45b3579851fa4b71713dbd7eba6cf"},"schema_version":"1.0","source":{"id":"1701.01196","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01196","created_at":"2026-05-18T00:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01196v2","created_at":"2026-05-18T00:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01196","created_at":"2026-05-18T00:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"MDELOKGBOH5M","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MDELOKGBOH5MNGHU","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MDELOKGB","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:09ae635f99b4dddf2d0a8af25df780f23b237bd559a8236e0da05ed036892c14","target":"graph","created_at":"2026-05-18T00:19:19Z","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 characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.","authors_text":"Andy Hammerlindl, Mario Shannon, Rafael Potrie","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-05T02:14:24Z","title":"Seifert manifolds admitting partially hyperbolic diffeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01196","kind":"arxiv","version":2},"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":"sha256:1d7e811bc7e831ba70ca0baed9c7fe596e62fbb0ba5c8bc3c042764085afa616","target":"record","created_at":"2026-05-18T00:19:19Z","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":"4518dbb6cfafb3408af1d2407ea58852d334f32dad8b3851fd961f5ebf228ab5","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-05T02:14:24Z","title_canon_sha256":"4f05d3d3a467b7e94d58d4a004d12176a9e45b3579851fa4b71713dbd7eba6cf"},"schema_version":"1.0","source":{"id":"1701.01196","kind":"arxiv","version":2}},"canonical_sha256":"60c8b728c171fac698f4cd4f71a8e68bc95f0aa2fd2d8b3f0aca730a9d6891fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60c8b728c171fac698f4cd4f71a8e68bc95f0aa2fd2d8b3f0aca730a9d6891fb","first_computed_at":"2026-05-18T00:19:19.496747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:19.496747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XGurVCTfoA8+mtuUldEeniGXdZO0Qg+oYblBjZ60QrDu8fiUhnZAj4As8NhcZDjUHt3g0fvuN4A5e9Ms8NDgBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:19.497426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01196","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d7e811bc7e831ba70ca0baed9c7fe596e62fbb0ba5c8bc3c042764085afa616","sha256:09ae635f99b4dddf2d0a8af25df780f23b237bd559a8236e0da05ed036892c14"],"state_sha256":"47b117e2822c332f89808a07aa54f590f957a71fc99f0145616fc71d5e3d34f9"}