{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SLEVMJ3ROZFA3NPPA4S7XIJSPE","short_pith_number":"pith:SLEVMJ3R","schema_version":"1.0","canonical_sha256":"92c9562771764a0db5ef0725fba13279171c7e4aa2191bbaa413864b20a86112","source":{"kind":"arxiv","id":"1201.3595","version":2},"attestation_state":"computed","paper":{"title":"The space of Anosov diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.DS","authors_text":"Andrey Gogolev, F. Thomas Farrell","submitted_at":"2012-01-17T19:06:08Z","abstract_excerpt":"We consider the space $\\X$ of Anosov diffeomorphisms homotopic to a fixed automorphism $L$ of an infranilmanifold $M$. We show that if $M$ is the 2-torus $\\mathbb T^2$ then $\\X$ is homotopy equivalent to $\\mathbb T^2$. In contrast, if dimension of $M$ is large enough, we show that $\\X$ is rich in homotopy and has infinitely many connected components."},"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":"1201.3595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-01-17T19:06:08Z","cross_cats_sorted":["math.AT","math.GT"],"title_canon_sha256":"41812a0f7907f2d0caa5780044b1a5599b1e2af836ccb0804915bcfe847444f7","abstract_canon_sha256":"34981bde60f7206f726969c01d3bd8196ee55b2c723ce7791d00d7ddbf54d282"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:30.478723Z","signature_b64":"4e3njp9TxeskBKcUFitcPwIHaZlsXLIj7Nwp7ga1XoU3CAmM2AnBBP2fM1GVLGir7z3vtXSmmXzM0IQf1EHoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92c9562771764a0db5ef0725fba13279171c7e4aa2191bbaa413864b20a86112","last_reissued_at":"2026-05-18T00:44:30.478193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:30.478193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The space of Anosov diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.DS","authors_text":"Andrey Gogolev, F. Thomas Farrell","submitted_at":"2012-01-17T19:06:08Z","abstract_excerpt":"We consider the space $\\X$ of Anosov diffeomorphisms homotopic to a fixed automorphism $L$ of an infranilmanifold $M$. We show that if $M$ is the 2-torus $\\mathbb T^2$ then $\\X$ is homotopy equivalent to $\\mathbb T^2$. In contrast, if dimension of $M$ is large enough, we show that $\\X$ is rich in homotopy and has infinitely many connected components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3595","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":"1201.3595","created_at":"2026-05-18T00:44:30.478275+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.3595v2","created_at":"2026-05-18T00:44:30.478275+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3595","created_at":"2026-05-18T00:44:30.478275+00:00"},{"alias_kind":"pith_short_12","alias_value":"SLEVMJ3ROZFA","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SLEVMJ3ROZFA3NPP","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SLEVMJ3R","created_at":"2026-05-18T12:27:20.899486+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/SLEVMJ3ROZFA3NPPA4S7XIJSPE","json":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE.json","graph_json":"https://pith.science/api/pith-number/SLEVMJ3ROZFA3NPPA4S7XIJSPE/graph.json","events_json":"https://pith.science/api/pith-number/SLEVMJ3ROZFA3NPPA4S7XIJSPE/events.json","paper":"https://pith.science/paper/SLEVMJ3R"},"agent_actions":{"view_html":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE","download_json":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE.json","view_paper":"https://pith.science/paper/SLEVMJ3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.3595&json=true","fetch_graph":"https://pith.science/api/pith-number/SLEVMJ3ROZFA3NPPA4S7XIJSPE/graph.json","fetch_events":"https://pith.science/api/pith-number/SLEVMJ3ROZFA3NPPA4S7XIJSPE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE/action/storage_attestation","attest_author":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE/action/author_attestation","sign_citation":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE/action/citation_signature","submit_replication":"https://pith.science/pith/SLEVMJ3ROZFA3NPPA4S7XIJSPE/action/replication_record"}},"created_at":"2026-05-18T00:44:30.478275+00:00","updated_at":"2026-05-18T00:44:30.478275+00:00"}