{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ANIL5YG7DMB7N6S7YYMCDUFZZE","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":"de335b41ac820512cc2c916558731e0da041d4115bd806357c76aed25313dfa8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-19T15:09:27Z","title_canon_sha256":"a9e3bfe15522ee6a57eba7ffd401dab216f57d44501de66b7714b6537ef94b7e"},"schema_version":"1.0","source":{"id":"1604.05614","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05614","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05614v3","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05614","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"ANIL5YG7DMB7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ANIL5YG7DMB7N6S7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ANIL5YG7","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:9f601f6e25ff98f113a8d72031b0e5446e18ca2a1888f0dc3ea90f6df12c6180","target":"graph","created_at":"2026-05-18T01:09:57Z","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 show that any pseudo-Anosov map that is a lift of pseudo-Anosov homeomorphism of a nonorientable surface has vanishing SAF invariant. We also provide a criterion to certify that a pseudo-Anosov map is not such a lift.","authors_text":"Bal\\'azs Strenner","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-19T15:09:27Z","title":"Lifts of pseudo-Anosov homeomorphisms of nonorientable surfaces have vanishing SAF invariant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05614","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:e47165dec8c145aff70d39b1ed540354bddb6431719f762e72f8471711c1f2cf","target":"record","created_at":"2026-05-18T01:09:57Z","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":"de335b41ac820512cc2c916558731e0da041d4115bd806357c76aed25313dfa8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-19T15:09:27Z","title_canon_sha256":"a9e3bfe15522ee6a57eba7ffd401dab216f57d44501de66b7714b6537ef94b7e"},"schema_version":"1.0","source":{"id":"1604.05614","kind":"arxiv","version":3}},"canonical_sha256":"0350bee0df1b03f6fa5fc61821d0b9c90c0ccc0d6ce436b465c061383fbd4f3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0350bee0df1b03f6fa5fc61821d0b9c90c0ccc0d6ce436b465c061383fbd4f3e","first_computed_at":"2026-05-18T01:09:57.477764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:57.477764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6H2trZBDrN0SrUfihl7YFka0rcCyPvTeGo91Pj99dexpfARCUKcDpZsDzGWlK/yATfYZvMrMkqZ9neQMzmDVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:57.478355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05614","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e47165dec8c145aff70d39b1ed540354bddb6431719f762e72f8471711c1f2cf","sha256:9f601f6e25ff98f113a8d72031b0e5446e18ca2a1888f0dc3ea90f6df12c6180"],"state_sha256":"7504cff68ce52ca40dd28379efcdcd724d18f3b522eca85ef9df2efe435324c7"}