{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IO6PIYKNUJWWUMGLBJRDC4P2YV","short_pith_number":"pith:IO6PIYKN","schema_version":"1.0","canonical_sha256":"43bcf4614da26d6a30cb0a623171fac55b40a376d539c61e65abc2bb7a4c85ec","source":{"kind":"arxiv","id":"1608.08731","version":2},"attestation_state":"computed","paper":{"title":"Centralizer algebras of the group associated to ${\\mathbb Z}_4$-codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Manabu Oura, Masashi Kosuda","submitted_at":"2016-08-31T05:23:48Z","abstract_excerpt":"The purpose of this paper is to investigate the finite group which appears in the study of the Type II $\\mathbf{Z}_4$-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this 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":"1608.08731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-08-31T05:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"b3948d1dc97419e4c69552943a5f53a28f11935dbded9bcdf939801e3c53ef5f","abstract_canon_sha256":"ea5bf595eddc03d53bc3e3cb1d3e55b248a809568299bf40d57d0aac4292e6a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:51.603768Z","signature_b64":"+QHEJkDkTAMX0qlSJtXxTki7f7onzFgv+TjIhKwurpedF1Khb+HBrCE/X5hGLHOE9Z4lVixr4hwCaqOWk7SGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43bcf4614da26d6a30cb0a623171fac55b40a376d539c61e65abc2bb7a4c85ec","last_reissued_at":"2026-05-18T00:42:51.603152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:51.603152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Centralizer algebras of the group associated to ${\\mathbb Z}_4$-codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Manabu Oura, Masashi Kosuda","submitted_at":"2016-08-31T05:23:48Z","abstract_excerpt":"The purpose of this paper is to investigate the finite group which appears in the study of the Type II $\\mathbf{Z}_4$-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08731","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":"1608.08731","created_at":"2026-05-18T00:42:51.603244+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08731v2","created_at":"2026-05-18T00:42:51.603244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08731","created_at":"2026-05-18T00:42:51.603244+00:00"},{"alias_kind":"pith_short_12","alias_value":"IO6PIYKNUJWW","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IO6PIYKNUJWWUMGL","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IO6PIYKN","created_at":"2026-05-18T12:30:22.444734+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/IO6PIYKNUJWWUMGLBJRDC4P2YV","json":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV.json","graph_json":"https://pith.science/api/pith-number/IO6PIYKNUJWWUMGLBJRDC4P2YV/graph.json","events_json":"https://pith.science/api/pith-number/IO6PIYKNUJWWUMGLBJRDC4P2YV/events.json","paper":"https://pith.science/paper/IO6PIYKN"},"agent_actions":{"view_html":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV","download_json":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV.json","view_paper":"https://pith.science/paper/IO6PIYKN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08731&json=true","fetch_graph":"https://pith.science/api/pith-number/IO6PIYKNUJWWUMGLBJRDC4P2YV/graph.json","fetch_events":"https://pith.science/api/pith-number/IO6PIYKNUJWWUMGLBJRDC4P2YV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV/action/storage_attestation","attest_author":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV/action/author_attestation","sign_citation":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV/action/citation_signature","submit_replication":"https://pith.science/pith/IO6PIYKNUJWWUMGLBJRDC4P2YV/action/replication_record"}},"created_at":"2026-05-18T00:42:51.603244+00:00","updated_at":"2026-05-18T00:42:51.603244+00:00"}