{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:K7OPDOWZQWNBXTHLGVIUXNBCBA","short_pith_number":"pith:K7OPDOWZ","schema_version":"1.0","canonical_sha256":"57dcf1bad9859a1bcceb35514bb4220832c5af616131e4125f6eed1342ef7866","source":{"kind":"arxiv","id":"1507.05069","version":1},"attestation_state":"computed","paper":{"title":"Automorphisms of $p$-local compact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Alex Gonzalez, Ran Levi","submitted_at":"2015-07-17T18:38:27Z","abstract_excerpt":"Self equivalences of classifying spaces of $p$-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use a construction of Robinson of an amalgam $G$, realizing a given fusion system, to produce a split epimorphism from the outer automorphism group of $G$ to the group of homotopy classes of self homotopy equivalences of the classifying space of the corresponding $p$-local compact group."},"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":"1507.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-07-17T18:38:27Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"5c2b224340bc634d74e2a508aee39f45ba00980356564fd2cc5fd3c1df64d020","abstract_canon_sha256":"c42a5b1128113a498f449f8ab267ff1894c19b74c4f2965968d0858ac0980a4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:41.994454Z","signature_b64":"5/7rgwO/b0I6wMjzUpJn7z5PvlOLB/fUQBjGrro+gKgcz8E5E/QQQ57Hx9ZEvPtHbQprBTcN8whtnxddtAI8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57dcf1bad9859a1bcceb35514bb4220832c5af616131e4125f6eed1342ef7866","last_reissued_at":"2026-05-18T01:36:41.993879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:41.993879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphisms of $p$-local compact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Alex Gonzalez, Ran Levi","submitted_at":"2015-07-17T18:38:27Z","abstract_excerpt":"Self equivalences of classifying spaces of $p$-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use a construction of Robinson of an amalgam $G$, realizing a given fusion system, to produce a split epimorphism from the outer automorphism group of $G$ to the group of homotopy classes of self homotopy equivalences of the classifying space of the corresponding $p$-local compact group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05069","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":"1507.05069","created_at":"2026-05-18T01:36:41.993956+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.05069v1","created_at":"2026-05-18T01:36:41.993956+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05069","created_at":"2026-05-18T01:36:41.993956+00:00"},{"alias_kind":"pith_short_12","alias_value":"K7OPDOWZQWNB","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"K7OPDOWZQWNBXTHL","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"K7OPDOWZ","created_at":"2026-05-18T12:29:27.538025+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/K7OPDOWZQWNBXTHLGVIUXNBCBA","json":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA.json","graph_json":"https://pith.science/api/pith-number/K7OPDOWZQWNBXTHLGVIUXNBCBA/graph.json","events_json":"https://pith.science/api/pith-number/K7OPDOWZQWNBXTHLGVIUXNBCBA/events.json","paper":"https://pith.science/paper/K7OPDOWZ"},"agent_actions":{"view_html":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA","download_json":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA.json","view_paper":"https://pith.science/paper/K7OPDOWZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.05069&json=true","fetch_graph":"https://pith.science/api/pith-number/K7OPDOWZQWNBXTHLGVIUXNBCBA/graph.json","fetch_events":"https://pith.science/api/pith-number/K7OPDOWZQWNBXTHLGVIUXNBCBA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA/action/storage_attestation","attest_author":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA/action/author_attestation","sign_citation":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA/action/citation_signature","submit_replication":"https://pith.science/pith/K7OPDOWZQWNBXTHLGVIUXNBCBA/action/replication_record"}},"created_at":"2026-05-18T01:36:41.993956+00:00","updated_at":"2026-05-18T01:36:41.993956+00:00"}