{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:IXDZWAE5QLZUPXDFGU5OFVXWVY","short_pith_number":"pith:IXDZWAE5","schema_version":"1.0","canonical_sha256":"45c79b009d82f347dc65353ae2d6f6ae39135131e1bfbc2e79efdbb9478b6067","source":{"kind":"arxiv","id":"0811.3597","version":1},"attestation_state":"computed","paper":{"title":"Reversibility in the diffeomorphism group of the real line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Anthony G. O'Farrell, Ian Short","submitted_at":"2008-11-21T18:02:34Z","abstract_excerpt":"An element of a group is said to be reversible if it is conjugate to its inverse. We characterise the reversible elements in the group of diffeomorphisms of the real line, and in the subgroup of order preserving diffeomorphisms."},"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":"0811.3597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-11-21T18:02:34Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"45dfd2378ece312866ab0a4d56c1eb85f2c6446990647a941160e0a67369d73e","abstract_canon_sha256":"d69770d31674e3639f36f144047b7a2afa6154c471e99c84c44d2534d65671a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:45.745045Z","signature_b64":"Urbjqr0Cj8pPqB/R4+NrRpX4dtJK1RDr8jxbw2do+3CdVU1T4zeCSDAfOwnuCjRTSu5iSjdQx0stAERcXeJ6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45c79b009d82f347dc65353ae2d6f6ae39135131e1bfbc2e79efdbb9478b6067","last_reissued_at":"2026-05-18T02:59:45.744154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:45.744154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reversibility in the diffeomorphism group of the real line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Anthony G. O'Farrell, Ian Short","submitted_at":"2008-11-21T18:02:34Z","abstract_excerpt":"An element of a group is said to be reversible if it is conjugate to its inverse. We characterise the reversible elements in the group of diffeomorphisms of the real line, and in the subgroup of order preserving diffeomorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.3597","kind":"arxiv","version":1},"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":"0811.3597","created_at":"2026-05-18T02:59:45.744302+00:00"},{"alias_kind":"arxiv_version","alias_value":"0811.3597v1","created_at":"2026-05-18T02:59:45.744302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.3597","created_at":"2026-05-18T02:59:45.744302+00:00"},{"alias_kind":"pith_short_12","alias_value":"IXDZWAE5QLZU","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"IXDZWAE5QLZUPXDF","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"IXDZWAE5","created_at":"2026-05-18T12:25:57.157939+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/IXDZWAE5QLZUPXDFGU5OFVXWVY","json":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY.json","graph_json":"https://pith.science/api/pith-number/IXDZWAE5QLZUPXDFGU5OFVXWVY/graph.json","events_json":"https://pith.science/api/pith-number/IXDZWAE5QLZUPXDFGU5OFVXWVY/events.json","paper":"https://pith.science/paper/IXDZWAE5"},"agent_actions":{"view_html":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY","download_json":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY.json","view_paper":"https://pith.science/paper/IXDZWAE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0811.3597&json=true","fetch_graph":"https://pith.science/api/pith-number/IXDZWAE5QLZUPXDFGU5OFVXWVY/graph.json","fetch_events":"https://pith.science/api/pith-number/IXDZWAE5QLZUPXDFGU5OFVXWVY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY/action/storage_attestation","attest_author":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY/action/author_attestation","sign_citation":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY/action/citation_signature","submit_replication":"https://pith.science/pith/IXDZWAE5QLZUPXDFGU5OFVXWVY/action/replication_record"}},"created_at":"2026-05-18T02:59:45.744302+00:00","updated_at":"2026-05-18T02:59:45.744302+00:00"}