{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:J3GFNMMPXWGS5EFOQKLJY4V7LC","short_pith_number":"pith:J3GFNMMP","schema_version":"1.0","canonical_sha256":"4ecc56b18fbd8d2e90ae82969c72bf589596497f11e5cc077994709f978191b6","source":{"kind":"arxiv","id":"1210.3790","version":1},"attestation_state":"computed","paper":{"title":"Strongly real special 2-groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Amit Kulshrestha, Dilpreet Kaur","submitted_at":"2012-10-14T13:24:59Z","abstract_excerpt":"Strongly real groups and totally orthogonal groups form two important subclasses of real groups. In this article we give a characterization of strongly real special 2-groups. This characterization is in terms of quadratic maps over fields of characteristic 2. We then provide examples of groups which are in one subclass and not the other."},"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":"1210.3790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-14T13:24:59Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"7df9284848136b1f75d9829938e525feb304fbc1af4519cf47eb29243a58d9e7","abstract_canon_sha256":"15dbf879c5eeac39db1ba70076425efef6768e7d72a0e7b673411eb479186663"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:17.085340Z","signature_b64":"fAtNuCfHkP1RmsK5Vp/4Lz6yX73bCXOatJFQiYNK/meALXXl+V08nhDFDljc3uMWNzDa5xrfWT/KuDNfgbhlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ecc56b18fbd8d2e90ae82969c72bf589596497f11e5cc077994709f978191b6","last_reissued_at":"2026-05-18T03:43:17.084640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:17.084640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strongly real special 2-groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Amit Kulshrestha, Dilpreet Kaur","submitted_at":"2012-10-14T13:24:59Z","abstract_excerpt":"Strongly real groups and totally orthogonal groups form two important subclasses of real groups. In this article we give a characterization of strongly real special 2-groups. This characterization is in terms of quadratic maps over fields of characteristic 2. We then provide examples of groups which are in one subclass and not the other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3790","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":"1210.3790","created_at":"2026-05-18T03:43:17.084734+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3790v1","created_at":"2026-05-18T03:43:17.084734+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3790","created_at":"2026-05-18T03:43:17.084734+00:00"},{"alias_kind":"pith_short_12","alias_value":"J3GFNMMPXWGS","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"J3GFNMMPXWGS5EFO","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"J3GFNMMP","created_at":"2026-05-18T12:27:09.501522+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/J3GFNMMPXWGS5EFOQKLJY4V7LC","json":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC.json","graph_json":"https://pith.science/api/pith-number/J3GFNMMPXWGS5EFOQKLJY4V7LC/graph.json","events_json":"https://pith.science/api/pith-number/J3GFNMMPXWGS5EFOQKLJY4V7LC/events.json","paper":"https://pith.science/paper/J3GFNMMP"},"agent_actions":{"view_html":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC","download_json":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC.json","view_paper":"https://pith.science/paper/J3GFNMMP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3790&json=true","fetch_graph":"https://pith.science/api/pith-number/J3GFNMMPXWGS5EFOQKLJY4V7LC/graph.json","fetch_events":"https://pith.science/api/pith-number/J3GFNMMPXWGS5EFOQKLJY4V7LC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC/action/storage_attestation","attest_author":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC/action/author_attestation","sign_citation":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC/action/citation_signature","submit_replication":"https://pith.science/pith/J3GFNMMPXWGS5EFOQKLJY4V7LC/action/replication_record"}},"created_at":"2026-05-18T03:43:17.084734+00:00","updated_at":"2026-05-18T03:43:17.084734+00:00"}