{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RI3TZ765BT6PTT7D2XTNEAXT3O","short_pith_number":"pith:RI3TZ765","schema_version":"1.0","canonical_sha256":"8a373cffdd0cfcf9cfe3d5e6d202f3dbbefe1fc5e35447a39aba9df8f436d58e","source":{"kind":"arxiv","id":"1711.01340","version":1},"attestation_state":"computed","paper":{"title":"Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Andreas Tolias, Daniele Puglisi, Pavlos Motakis","submitted_at":"2017-11-03T21:35:10Z","abstract_excerpt":"For every Banach space $X$ with a Schauder basis consider the Banach algebra $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$ of all diagonal operators that are of the form $\\lambda I + K$. We prove that $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$ is a Calkin algbra i.e., there exists a Banach space $\\mathcal{Y}_X$ so that the Calkin algebra of $\\mathcal{Y}_X$ is isomorphic as a Banach algebra to $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$. Among other applications of this theorem we obtain that certain hereditarily indecomposable spaces and the James spaces $J_p$ and their duals end"},"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":"1711.01340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-03T21:35:10Z","cross_cats_sorted":[],"title_canon_sha256":"d4c3ad8d455152cbcfcfc062f725924c7c8ed1663934bc89fb8f2777a9ab21ad","abstract_canon_sha256":"f854b8f9da3281a23691d19b21a32652e0d7b02ecd5c17ddfae631ceaa613ea0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:18.136606Z","signature_b64":"sgolWZNKjpxCKoLzMmrxip/ybqpWzyrvqlHQHHDBYIgK1dlyQGwSsiaeXZ2lRmbSsyeMDGOjxITxzmYuV+mVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a373cffdd0cfcf9cfe3d5e6d202f3dbbefe1fc5e35447a39aba9df8f436d58e","last_reissued_at":"2026-05-18T00:31:18.135913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:18.135913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Andreas Tolias, Daniele Puglisi, Pavlos Motakis","submitted_at":"2017-11-03T21:35:10Z","abstract_excerpt":"For every Banach space $X$ with a Schauder basis consider the Banach algebra $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$ of all diagonal operators that are of the form $\\lambda I + K$. We prove that $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$ is a Calkin algbra i.e., there exists a Banach space $\\mathcal{Y}_X$ so that the Calkin algebra of $\\mathcal{Y}_X$ is isomorphic as a Banach algebra to $\\mathbb{R} I\\oplus\\mathcal{K}_\\mathrm{diag}(X)$. Among other applications of this theorem we obtain that certain hereditarily indecomposable spaces and the James spaces $J_p$ and their duals end"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01340","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":"1711.01340","created_at":"2026-05-18T00:31:18.136023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.01340v1","created_at":"2026-05-18T00:31:18.136023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01340","created_at":"2026-05-18T00:31:18.136023+00:00"},{"alias_kind":"pith_short_12","alias_value":"RI3TZ765BT6P","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RI3TZ765BT6PTT7D","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RI3TZ765","created_at":"2026-05-18T12:31:39.905425+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/RI3TZ765BT6PTT7D2XTNEAXT3O","json":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O.json","graph_json":"https://pith.science/api/pith-number/RI3TZ765BT6PTT7D2XTNEAXT3O/graph.json","events_json":"https://pith.science/api/pith-number/RI3TZ765BT6PTT7D2XTNEAXT3O/events.json","paper":"https://pith.science/paper/RI3TZ765"},"agent_actions":{"view_html":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O","download_json":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O.json","view_paper":"https://pith.science/paper/RI3TZ765","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.01340&json=true","fetch_graph":"https://pith.science/api/pith-number/RI3TZ765BT6PTT7D2XTNEAXT3O/graph.json","fetch_events":"https://pith.science/api/pith-number/RI3TZ765BT6PTT7D2XTNEAXT3O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O/action/storage_attestation","attest_author":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O/action/author_attestation","sign_citation":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O/action/citation_signature","submit_replication":"https://pith.science/pith/RI3TZ765BT6PTT7D2XTNEAXT3O/action/replication_record"}},"created_at":"2026-05-18T00:31:18.136023+00:00","updated_at":"2026-05-18T00:31:18.136023+00:00"}