{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JZJTMTPGH3KB4UUE4KWWSC5OXS","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":"d1606653bd199f5854eefa230be6dbb7cba90bdf727477840b798cf76df9c368","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-23T18:47:21Z","title_canon_sha256":"e675a50606097fb51acb496463c09ef59c40b371b0a5b074be5c30c980e69743"},"schema_version":"1.0","source":{"id":"1203.5319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5319","created_at":"2026-05-18T03:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5319v1","created_at":"2026-05-18T03:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5319","created_at":"2026-05-18T03:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"JZJTMTPGH3KB","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JZJTMTPGH3KB4UUE","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JZJTMTPG","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:7ef73b4b860d1c51b9a43927cb5b14549f7bd7e69331006eedfb2c74e7067fac","target":"graph","created_at":"2026-05-18T03:59:26Z","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":"An Anosov diffeomorphism is topologically conjugate to an infranilmanifold automorphism if and only if it has polynomial Global Product Structure.","authors_text":"Andy Hammerlindl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-23T18:47:21Z","title":"Polynomial Global Product Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5319","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":"sha256:957b52b3c415d0dcb57c5a939d900bc807277e8c34ee651ef354323027801fe7","target":"record","created_at":"2026-05-18T03:59:26Z","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":"d1606653bd199f5854eefa230be6dbb7cba90bdf727477840b798cf76df9c368","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-23T18:47:21Z","title_canon_sha256":"e675a50606097fb51acb496463c09ef59c40b371b0a5b074be5c30c980e69743"},"schema_version":"1.0","source":{"id":"1203.5319","kind":"arxiv","version":1}},"canonical_sha256":"4e53364de63ed41e5284e2ad690baebc99977e98aca9c78d2d0d44c8b0131fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e53364de63ed41e5284e2ad690baebc99977e98aca9c78d2d0d44c8b0131fd8","first_computed_at":"2026-05-18T03:59:26.209177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:26.209177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aPyTN8z6d14+Prs+SfX5l+LU8gxE5Arjy94LALvpxqnXLvNubjyEfzCunmWH1UJEPmU0SNNnJGAZJ0cgwCMpAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:26.209771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:957b52b3c415d0dcb57c5a939d900bc807277e8c34ee651ef354323027801fe7","sha256:7ef73b4b860d1c51b9a43927cb5b14549f7bd7e69331006eedfb2c74e7067fac"],"state_sha256":"5f15cf296a5022e3c625dc6c27a36cb7143dc4d6bce3b9f5282f0252f1a52d12"}