{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KWGQMJUFPDQDE3DFFCRV2WC6EL","short_pith_number":"pith:KWGQMJUF","schema_version":"1.0","canonical_sha256":"558d06268578e0326c6528a35d585e22d49cb09efe8f65845d5cb3db18d560e1","source":{"kind":"arxiv","id":"1506.01459","version":2},"attestation_state":"computed","paper":{"title":"Products of partial normal subgroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ellen Henke","submitted_at":"2015-06-04T03:52:27Z","abstract_excerpt":"We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities."},"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":"1506.01459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-06-04T03:52:27Z","cross_cats_sorted":[],"title_canon_sha256":"7424aa0dd1b6c26e725524947e3848a722436ef83fdcafae88320d788b3fe8ac","abstract_canon_sha256":"90d76cbd3bd7bd7f198dc077345a3531e3064c867de5b344a9e8b87f1f161f47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:29.263227Z","signature_b64":"0vQxaewey2h2z+pdT/0nGDd65qLBWcDHhde07XdDDjwbcm3fAfX8z7G5JR/dQpop445cQsM6t5afuxN6ISbTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"558d06268578e0326c6528a35d585e22d49cb09efe8f65845d5cb3db18d560e1","last_reissued_at":"2026-05-18T01:32:29.262768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:29.262768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Products of partial normal subgroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ellen Henke","submitted_at":"2015-06-04T03:52:27Z","abstract_excerpt":"We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01459","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":"1506.01459","created_at":"2026-05-18T01:32:29.262830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01459v2","created_at":"2026-05-18T01:32:29.262830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01459","created_at":"2026-05-18T01:32:29.262830+00:00"},{"alias_kind":"pith_short_12","alias_value":"KWGQMJUFPDQD","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KWGQMJUFPDQDE3DF","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KWGQMJUF","created_at":"2026-05-18T12:29:29.992203+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/KWGQMJUFPDQDE3DFFCRV2WC6EL","json":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL.json","graph_json":"https://pith.science/api/pith-number/KWGQMJUFPDQDE3DFFCRV2WC6EL/graph.json","events_json":"https://pith.science/api/pith-number/KWGQMJUFPDQDE3DFFCRV2WC6EL/events.json","paper":"https://pith.science/paper/KWGQMJUF"},"agent_actions":{"view_html":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL","download_json":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL.json","view_paper":"https://pith.science/paper/KWGQMJUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01459&json=true","fetch_graph":"https://pith.science/api/pith-number/KWGQMJUFPDQDE3DFFCRV2WC6EL/graph.json","fetch_events":"https://pith.science/api/pith-number/KWGQMJUFPDQDE3DFFCRV2WC6EL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL/action/storage_attestation","attest_author":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL/action/author_attestation","sign_citation":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL/action/citation_signature","submit_replication":"https://pith.science/pith/KWGQMJUFPDQDE3DFFCRV2WC6EL/action/replication_record"}},"created_at":"2026-05-18T01:32:29.262830+00:00","updated_at":"2026-05-18T01:32:29.262830+00:00"}