{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:325KOCXH6C3AAC2AOTXYPUAY4Z","short_pith_number":"pith:325KOCXH","schema_version":"1.0","canonical_sha256":"debaa70ae7f0b6000b4074ef87d018e65eb630bdf838cb706f89e26c76d9f1b8","source":{"kind":"arxiv","id":"1008.0816","version":1},"attestation_state":"computed","paper":{"title":"A remark on the homotopy equivalence of SU_n and SL_nC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.AT","authors_text":"Juan Souto","submitted_at":"2010-08-04T16:40:36Z","abstract_excerpt":"Being a maximal compact subgroup of SL_nC, SU_n is a deformation retract of the former group. In this note we prove that, for sufficiently large n, there is no retraction of SL_nC to SU_n which preserves commutativity."},"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":"1008.0816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-08-04T16:40:36Z","cross_cats_sorted":["math.GR","math.GT"],"title_canon_sha256":"07e2dcff79b2088d4b087cb640fe20c36968d6255345eabce4a3c29e4c8ec4c0","abstract_canon_sha256":"3ed1c3eebbba0a942b574fa68524660349a176e2aa4df5767338da6d2d17e4da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:35.573477Z","signature_b64":"Z3A6Ar6v+Kf+3eS7bR+q3yF72IYk55JVv4iOwTNvtsCV2VHAxBCddej68/ZSNqHuoZx5vgQ6qUG1oCpUya2HBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"debaa70ae7f0b6000b4074ef87d018e65eb630bdf838cb706f89e26c76d9f1b8","last_reissued_at":"2026-05-18T04:42:35.572979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:35.572979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A remark on the homotopy equivalence of SU_n and SL_nC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.AT","authors_text":"Juan Souto","submitted_at":"2010-08-04T16:40:36Z","abstract_excerpt":"Being a maximal compact subgroup of SL_nC, SU_n is a deformation retract of the former group. In this note we prove that, for sufficiently large n, there is no retraction of SL_nC to SU_n which preserves commutativity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0816","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":"1008.0816","created_at":"2026-05-18T04:42:35.573054+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0816v1","created_at":"2026-05-18T04:42:35.573054+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0816","created_at":"2026-05-18T04:42:35.573054+00:00"},{"alias_kind":"pith_short_12","alias_value":"325KOCXH6C3A","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"325KOCXH6C3AAC2A","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"325KOCXH","created_at":"2026-05-18T12:26:03.138858+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/325KOCXH6C3AAC2AOTXYPUAY4Z","json":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z.json","graph_json":"https://pith.science/api/pith-number/325KOCXH6C3AAC2AOTXYPUAY4Z/graph.json","events_json":"https://pith.science/api/pith-number/325KOCXH6C3AAC2AOTXYPUAY4Z/events.json","paper":"https://pith.science/paper/325KOCXH"},"agent_actions":{"view_html":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z","download_json":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z.json","view_paper":"https://pith.science/paper/325KOCXH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0816&json=true","fetch_graph":"https://pith.science/api/pith-number/325KOCXH6C3AAC2AOTXYPUAY4Z/graph.json","fetch_events":"https://pith.science/api/pith-number/325KOCXH6C3AAC2AOTXYPUAY4Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z/action/storage_attestation","attest_author":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z/action/author_attestation","sign_citation":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z/action/citation_signature","submit_replication":"https://pith.science/pith/325KOCXH6C3AAC2AOTXYPUAY4Z/action/replication_record"}},"created_at":"2026-05-18T04:42:35.573054+00:00","updated_at":"2026-05-18T04:42:35.573054+00:00"}