{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PAMHU7AH4J3VZRMZJVSXWQ7SZ3","short_pith_number":"pith:PAMHU7AH","schema_version":"1.0","canonical_sha256":"78187a7c07e2775cc5994d657b43f2cec8ac5057db5e3d2d05f4bf4920a419d8","source":{"kind":"arxiv","id":"1310.7352","version":1},"attestation_state":"computed","paper":{"title":"Ideals of operators on $(\\oplus \\ell^\\infty(n))_{\\ell^1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Denny H. Leung","submitted_at":"2013-10-28T09:33:29Z","abstract_excerpt":"The unique maximal ideal in the Banach algebra $L(E)$, $E = (\\oplus \\ell^\\infty(n))_{\\ell^1}$, is identified. The proof relies on techniques developed by Laustsen, Loy and Read and a dichotomy result for operators mapping into $L^1$ due to Laustsen, Odell, Schlumprecht and Zs\\'{a}k."},"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":"1310.7352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-10-28T09:33:29Z","cross_cats_sorted":[],"title_canon_sha256":"232f0d0290605c976e8fb8efa56e09f15fca69458185c5da0b894c6cb58689d8","abstract_canon_sha256":"9c5834e1e3230bca75f0b5e5fbf5541e19f631862f878b822f45c09a0c38eec9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:45.604176Z","signature_b64":"fCftETltdzldQu2GQPJ2IziSp0dI8ojTIKmzqLbbAG6vgwaaq56fHRJ9jT2FsiNCqOZ1NGVTBUHmPdI8mES9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78187a7c07e2775cc5994d657b43f2cec8ac5057db5e3d2d05f4bf4920a419d8","last_reissued_at":"2026-05-18T03:08:45.603649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:45.603649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ideals of operators on $(\\oplus \\ell^\\infty(n))_{\\ell^1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Denny H. Leung","submitted_at":"2013-10-28T09:33:29Z","abstract_excerpt":"The unique maximal ideal in the Banach algebra $L(E)$, $E = (\\oplus \\ell^\\infty(n))_{\\ell^1}$, is identified. The proof relies on techniques developed by Laustsen, Loy and Read and a dichotomy result for operators mapping into $L^1$ due to Laustsen, Odell, Schlumprecht and Zs\\'{a}k."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7352","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":"1310.7352","created_at":"2026-05-18T03:08:45.603731+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.7352v1","created_at":"2026-05-18T03:08:45.603731+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7352","created_at":"2026-05-18T03:08:45.603731+00:00"},{"alias_kind":"pith_short_12","alias_value":"PAMHU7AH4J3V","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PAMHU7AH4J3VZRMZ","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PAMHU7AH","created_at":"2026-05-18T12:27:54.935989+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/PAMHU7AH4J3VZRMZJVSXWQ7SZ3","json":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3.json","graph_json":"https://pith.science/api/pith-number/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/graph.json","events_json":"https://pith.science/api/pith-number/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/events.json","paper":"https://pith.science/paper/PAMHU7AH"},"agent_actions":{"view_html":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3","download_json":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3.json","view_paper":"https://pith.science/paper/PAMHU7AH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.7352&json=true","fetch_graph":"https://pith.science/api/pith-number/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/action/storage_attestation","attest_author":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/action/author_attestation","sign_citation":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/action/citation_signature","submit_replication":"https://pith.science/pith/PAMHU7AH4J3VZRMZJVSXWQ7SZ3/action/replication_record"}},"created_at":"2026-05-18T03:08:45.603731+00:00","updated_at":"2026-05-18T03:08:45.603731+00:00"}