{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PWVGLQPQGJTXKXZKY22OIGQS6T","short_pith_number":"pith:PWVGLQPQ","schema_version":"1.0","canonical_sha256":"7daa65c1f03267755f2ac6b4e41a12f4f5ac7318290e70cb5db04e48569a978f","source":{"kind":"arxiv","id":"1411.2281","version":2},"attestation_state":"computed","paper":{"title":"Stability in Outer Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Sebastian Hensel, Ursula Hamenst\\\"adt","submitted_at":"2014-11-09T21:10:27Z","abstract_excerpt":"We characterize strongly Morse quasi-geodesics in Outer space as quasi-geodesics which project to quasi-geodesics in the free factor graph. We define convex cocompact subgroups of $Out(F_n)$ as subgroups such that an orbit map in the free factor graph is a quasi-isometric embedding, and we characterize such groups via their action on Outer space in a way which resembles the characterization of convex cocompact subgroups of mapping class groups."},"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":"1411.2281","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-11-09T21:10:27Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"254c94389be9c771a522033c83192466fe976a4399753b014432a15328d93371","abstract_canon_sha256":"76232ece3dcd542e0dfed3f86b93f2cc543be7b1f20b4951fab54eb4f1ed3309"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:28.852383Z","signature_b64":"rwYGOPMRj8k1nGAbZSbwbbAV/UgLI0VCp9OmUJIJr68EJenk0lhM1Ipz1wmuVVudBX8T5YLAjo6HLTF0da33Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7daa65c1f03267755f2ac6b4e41a12f4f5ac7318290e70cb5db04e48569a978f","last_reissued_at":"2026-05-18T00:48:28.851745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:28.851745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability in Outer Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Sebastian Hensel, Ursula Hamenst\\\"adt","submitted_at":"2014-11-09T21:10:27Z","abstract_excerpt":"We characterize strongly Morse quasi-geodesics in Outer space as quasi-geodesics which project to quasi-geodesics in the free factor graph. We define convex cocompact subgroups of $Out(F_n)$ as subgroups such that an orbit map in the free factor graph is a quasi-isometric embedding, and we characterize such groups via their action on Outer space in a way which resembles the characterization of convex cocompact subgroups of mapping class groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2281","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":"1411.2281","created_at":"2026-05-18T00:48:28.851853+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2281v2","created_at":"2026-05-18T00:48:28.851853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2281","created_at":"2026-05-18T00:48:28.851853+00:00"},{"alias_kind":"pith_short_12","alias_value":"PWVGLQPQGJTX","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PWVGLQPQGJTXKXZK","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PWVGLQPQ","created_at":"2026-05-18T12:28:43.426989+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/PWVGLQPQGJTXKXZKY22OIGQS6T","json":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T.json","graph_json":"https://pith.science/api/pith-number/PWVGLQPQGJTXKXZKY22OIGQS6T/graph.json","events_json":"https://pith.science/api/pith-number/PWVGLQPQGJTXKXZKY22OIGQS6T/events.json","paper":"https://pith.science/paper/PWVGLQPQ"},"agent_actions":{"view_html":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T","download_json":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T.json","view_paper":"https://pith.science/paper/PWVGLQPQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2281&json=true","fetch_graph":"https://pith.science/api/pith-number/PWVGLQPQGJTXKXZKY22OIGQS6T/graph.json","fetch_events":"https://pith.science/api/pith-number/PWVGLQPQGJTXKXZKY22OIGQS6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T/action/storage_attestation","attest_author":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T/action/author_attestation","sign_citation":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T/action/citation_signature","submit_replication":"https://pith.science/pith/PWVGLQPQGJTXKXZKY22OIGQS6T/action/replication_record"}},"created_at":"2026-05-18T00:48:28.851853+00:00","updated_at":"2026-05-18T00:48:28.851853+00:00"}