{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6B6ECYD3OXR3ZK4MJLRX7LVUXV","short_pith_number":"pith:6B6ECYD3","schema_version":"1.0","canonical_sha256":"f07c41607b75e3bcab8c4ae37faeb4bd5e55bc8776a4e84de96cca8871334a1a","source":{"kind":"arxiv","id":"1311.6855","version":3},"attestation_state":"computed","paper":{"title":"Lone Axes in Outer Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Catherine Pfaff, Lee Mosher","submitted_at":"2013-11-27T01:45:16Z","abstract_excerpt":"Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in \"Axes in Outer Space.\" In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group $Out(F_r)$ have conjugate powers."},"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":"1311.6855","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-11-27T01:45:16Z","cross_cats_sorted":[],"title_canon_sha256":"574350ef85d58f9e4a3ab1af5c34239d0ee42027f0a75fad77cfe99ec2d2daab","abstract_canon_sha256":"467efcde54291c3c339352b2395a568e1f0305e920d13b2815a1a75d0dfc4e2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:20.867617Z","signature_b64":"YHhLXBJP2pI6Shk+8UPhl+zz2x9TpL1hLwAAEoKxoqyKolQzkVpXTnxu6ud/m1ogNSLHT1BeiMUvtlp0OPQEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f07c41607b75e3bcab8c4ae37faeb4bd5e55bc8776a4e84de96cca8871334a1a","last_reissued_at":"2026-05-18T00:54:20.867261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:20.867261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lone Axes in Outer Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Catherine Pfaff, Lee Mosher","submitted_at":"2013-11-27T01:45:16Z","abstract_excerpt":"Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in \"Axes in Outer Space.\" In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group $Out(F_r)$ have conjugate powers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6855","kind":"arxiv","version":3},"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":"1311.6855","created_at":"2026-05-18T00:54:20.867326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6855v3","created_at":"2026-05-18T00:54:20.867326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6855","created_at":"2026-05-18T00:54:20.867326+00:00"},{"alias_kind":"pith_short_12","alias_value":"6B6ECYD3OXR3","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6B6ECYD3OXR3ZK4M","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6B6ECYD3","created_at":"2026-05-18T12:27:36.564083+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/6B6ECYD3OXR3ZK4MJLRX7LVUXV","json":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV.json","graph_json":"https://pith.science/api/pith-number/6B6ECYD3OXR3ZK4MJLRX7LVUXV/graph.json","events_json":"https://pith.science/api/pith-number/6B6ECYD3OXR3ZK4MJLRX7LVUXV/events.json","paper":"https://pith.science/paper/6B6ECYD3"},"agent_actions":{"view_html":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV","download_json":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV.json","view_paper":"https://pith.science/paper/6B6ECYD3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6855&json=true","fetch_graph":"https://pith.science/api/pith-number/6B6ECYD3OXR3ZK4MJLRX7LVUXV/graph.json","fetch_events":"https://pith.science/api/pith-number/6B6ECYD3OXR3ZK4MJLRX7LVUXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV/action/storage_attestation","attest_author":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV/action/author_attestation","sign_citation":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV/action/citation_signature","submit_replication":"https://pith.science/pith/6B6ECYD3OXR3ZK4MJLRX7LVUXV/action/replication_record"}},"created_at":"2026-05-18T00:54:20.867326+00:00","updated_at":"2026-05-18T00:54:20.867326+00:00"}