{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:R2O43EAGA573L3ACS4UXTL4CFE","short_pith_number":"pith:R2O43EAG","schema_version":"1.0","canonical_sha256":"8e9dcd9006077fb5ec02972979af82293cc25c9a82c277c69c41f232a8065cdf","source":{"kind":"arxiv","id":"0906.4050","version":2},"attestation_state":"computed","paper":{"title":"Twisting out fully irreducible automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alexandra Pettet, Matt Clay","submitted_at":"2009-06-22T16:05:12Z","abstract_excerpt":"By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves that fill, every element not conjugate to a power of one of the twist is pseudo-Anosov. We prove an analogue of this theorem for the outer automorphism group of a free group."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0906.4050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-06-22T16:05:12Z","cross_cats_sorted":[],"title_canon_sha256":"2cdc794076ede6bf01f6aafe8034c60c42e063355e2171b1d7d734a0a1df6964","abstract_canon_sha256":"34618e8de90cb5d41bda969c37b6eca3ebdd97f03b09e9c3928a8ffde608107b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:55.419754Z","signature_b64":"VVUloxfhlgnRzpMoczy8ZRYSKH6+BvAt0J58IWP96V1gPC8BbdCaZnU7yb1sRBIi8rOMb3lhOZbkdIJLmE9WCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e9dcd9006077fb5ec02972979af82293cc25c9a82c277c69c41f232a8065cdf","last_reissued_at":"2026-05-18T02:24:55.418550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:55.418550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisting out fully irreducible automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alexandra Pettet, Matt Clay","submitted_at":"2009-06-22T16:05:12Z","abstract_excerpt":"By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves that fill, every element not conjugate to a power of one of the twist is pseudo-Anosov. We prove an analogue of this theorem for the outer automorphism group of a free group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4050","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0906.4050","created_at":"2026-05-18T02:24:55.418709+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.4050v2","created_at":"2026-05-18T02:24:55.418709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4050","created_at":"2026-05-18T02:24:55.418709+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2O43EAGA573","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2O43EAGA573L3AC","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2O43EAG","created_at":"2026-05-18T12:26:01.383474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE","json":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE.json","graph_json":"https://pith.science/api/pith-number/R2O43EAGA573L3ACS4UXTL4CFE/graph.json","events_json":"https://pith.science/api/pith-number/R2O43EAGA573L3ACS4UXTL4CFE/events.json","paper":"https://pith.science/paper/R2O43EAG"},"agent_actions":{"view_html":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE","download_json":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE.json","view_paper":"https://pith.science/paper/R2O43EAG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.4050&json=true","fetch_graph":"https://pith.science/api/pith-number/R2O43EAGA573L3ACS4UXTL4CFE/graph.json","fetch_events":"https://pith.science/api/pith-number/R2O43EAGA573L3ACS4UXTL4CFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE/action/storage_attestation","attest_author":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE/action/author_attestation","sign_citation":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE/action/citation_signature","submit_replication":"https://pith.science/pith/R2O43EAGA573L3ACS4UXTL4CFE/action/replication_record"}},"created_at":"2026-05-18T02:24:55.418709+00:00","updated_at":"2026-05-18T02:24:55.418709+00:00"}