{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7EN26D2ZAPBYQBFNC5IGVEAVJR","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":"f9e4fab80fc84d51f5bdde6cc860e29eb207c0f825972f5e1b218b6118583cc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-26T00:24:56Z","title_canon_sha256":"eaa18d93c688c30a480581df2e5942a5395ddd61df3aaa77cedbaa9868f1d334"},"schema_version":"1.0","source":{"id":"1410.6974","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6974","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6974v3","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6974","created_at":"2026-05-18T01:22:21Z"},{"alias_kind":"pith_short_12","alias_value":"7EN26D2ZAPBY","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7EN26D2ZAPBYQBFN","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7EN26D2Z","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:79bea11e8da386d343e97684c323bee18843ba1bd7e1cdc6b6044b3bb4422bef","target":"graph","created_at":"2026-05-18T01:22:21Z","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 Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner's construction lie off the unit circle. As a consequence, we show that for all but a few exceptional surfaces, there are examples of pseudo-Anosov mapping classes so that no power of them arises from Penner's construction. This resolves a conjecture of Penner.","authors_text":"Bal\\'azs Strenner, Hyunshik Shin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-26T00:24:56Z","title":"Pseudo-Anosov mapping classes not arising from Penner's construction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6974","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":"sha256:2fe9ae37ce57b4830b33fc1c85b787ca2cf218d5cea4df0b785851c27849df4f","target":"record","created_at":"2026-05-18T01:22:21Z","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":"f9e4fab80fc84d51f5bdde6cc860e29eb207c0f825972f5e1b218b6118583cc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-26T00:24:56Z","title_canon_sha256":"eaa18d93c688c30a480581df2e5942a5395ddd61df3aaa77cedbaa9868f1d334"},"schema_version":"1.0","source":{"id":"1410.6974","kind":"arxiv","version":3}},"canonical_sha256":"f91baf0f5903c38804ad17506a90154c52e2adbf1147bccfe1991554858ac87a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f91baf0f5903c38804ad17506a90154c52e2adbf1147bccfe1991554858ac87a","first_computed_at":"2026-05-18T01:22:21.656303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:21.656303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PKDV3dm0pkeDviqgC0YuCDHMPaagnuZN3RETevzUQD6yUivjIOLQpYFf9Y2BIYcNQ6Hd6ppfsPhuxK4SM6DDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:21.657084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6974","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fe9ae37ce57b4830b33fc1c85b787ca2cf218d5cea4df0b785851c27849df4f","sha256:79bea11e8da386d343e97684c323bee18843ba1bd7e1cdc6b6044b3bb4422bef"],"state_sha256":"84ff3d01a263b3ae9c6c6c3d5dff3faabe622b51605d543f88236e780fd25784"}