{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:24A7G275EMKDGUYGK6RKNMNHLM","short_pith_number":"pith:24A7G275","schema_version":"1.0","canonical_sha256":"d701f36bfd231433530657a2a6b1a75b3ffe413848da90ac272298585a332faf","source":{"kind":"arxiv","id":"2103.00955","version":3},"attestation_state":"computed","paper":{"title":"Commuting partial normal subgroups and regular localities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GR","authors_text":"Ellen Henke","submitted_at":"2021-03-01T12:31:24Z","abstract_excerpt":"In this paper, important concepts from finite group theory are translated to localities, in particular to linking localities. Here localities are group-like structures associated to fusion systems which were introduced by Chermak. Linking localities (by Chermak also called proper localities) are special kinds of localities which correspond to linking systems. Thus they contain the algebraic information that is needed to study $p$-completed classifying spaces of fusion systems as generalizations of $p$-completed classifying spaces of finite groups.\n  Because of the group-like nature of localiti"},"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":"2103.00955","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2021-03-01T12:31:24Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"a4759a08d59083819b9451ca9fa5072b64458f23cae5036dec4a528397ac0724","abstract_canon_sha256":"ace7271d3ebd37228fe6d3ee61b5de86dd1aff9a77d87b7b6473a0eaecddd703"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:05:01.301736Z","signature_b64":"o+qmzQX81v5ql2MwKwrXZPkwm4taWx5qOPoe+SSq+ACCQiY3IcStfKvsATZvJ/UBk+9jz6atUvmtbZTfRDpZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d701f36bfd231433530657a2a6b1a75b3ffe413848da90ac272298585a332faf","last_reissued_at":"2026-07-05T03:05:01.301167Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:05:01.301167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Commuting partial normal subgroups and regular localities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GR","authors_text":"Ellen Henke","submitted_at":"2021-03-01T12:31:24Z","abstract_excerpt":"In this paper, important concepts from finite group theory are translated to localities, in particular to linking localities. Here localities are group-like structures associated to fusion systems which were introduced by Chermak. Linking localities (by Chermak also called proper localities) are special kinds of localities which correspond to linking systems. Thus they contain the algebraic information that is needed to study $p$-completed classifying spaces of fusion systems as generalizations of $p$-completed classifying spaces of finite groups.\n  Because of the group-like nature of localiti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.00955","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.00955/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2103.00955","created_at":"2026-07-05T03:05:01.301226+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.00955v3","created_at":"2026-07-05T03:05:01.301226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.00955","created_at":"2026-07-05T03:05:01.301226+00:00"},{"alias_kind":"pith_short_12","alias_value":"24A7G275EMKD","created_at":"2026-07-05T03:05:01.301226+00:00"},{"alias_kind":"pith_short_16","alias_value":"24A7G275EMKDGUYG","created_at":"2026-07-05T03:05:01.301226+00:00"},{"alias_kind":"pith_short_8","alias_value":"24A7G275","created_at":"2026-07-05T03:05:01.301226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.05437","citing_title":"Higher Segal spaces and partial groups","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM","json":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM.json","graph_json":"https://pith.science/api/pith-number/24A7G275EMKDGUYGK6RKNMNHLM/graph.json","events_json":"https://pith.science/api/pith-number/24A7G275EMKDGUYGK6RKNMNHLM/events.json","paper":"https://pith.science/paper/24A7G275"},"agent_actions":{"view_html":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM","download_json":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM.json","view_paper":"https://pith.science/paper/24A7G275","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.00955&json=true","fetch_graph":"https://pith.science/api/pith-number/24A7G275EMKDGUYGK6RKNMNHLM/graph.json","fetch_events":"https://pith.science/api/pith-number/24A7G275EMKDGUYGK6RKNMNHLM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM/action/storage_attestation","attest_author":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM/action/author_attestation","sign_citation":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM/action/citation_signature","submit_replication":"https://pith.science/pith/24A7G275EMKDGUYGK6RKNMNHLM/action/replication_record"}},"created_at":"2026-07-05T03:05:01.301226+00:00","updated_at":"2026-07-05T03:05:01.301226+00:00"}