{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:32BVZNTVRIT33FCOP4JR4T6DVH","short_pith_number":"pith:32BVZNTV","schema_version":"1.0","canonical_sha256":"de835cb6758a27bd944e7f131e4fc3a9db41877c95c489af02f5ca4710fdd45e","source":{"kind":"arxiv","id":"1506.06283","version":1},"attestation_state":"computed","paper":{"title":"Rank one perturbations of diagonal operators without eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hubert Klaja","submitted_at":"2015-06-20T19:15:44Z","abstract_excerpt":"In this paper, we prove that every diagonal operator on a Hilbert space of which is of multiplicity one and has perfect spectrum admits a rank one perturbation without eigenvalues. This answers a question of Ionascu."},"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":"1506.06283","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-06-20T19:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"e4ddbe9cff56c57642c0a22c6fc7ca0ba7209d333a581c8427fe34f83704c45c","abstract_canon_sha256":"b8c70cda2f0eb6e6cdd0431e3dfd71ba580f205015c2e7d8541ca51524a9ba4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:45.615918Z","signature_b64":"FowZ/3o1mtE4H9vLD4Fne1sOhXJM6aRfH8BoMu795sospJZIbpI+pApzz9fxbnovpHsdvZw1YnBtAhE4roySBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de835cb6758a27bd944e7f131e4fc3a9db41877c95c489af02f5ca4710fdd45e","last_reissued_at":"2026-05-18T01:41:45.615556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:45.615556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rank one perturbations of diagonal operators without eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hubert Klaja","submitted_at":"2015-06-20T19:15:44Z","abstract_excerpt":"In this paper, we prove that every diagonal operator on a Hilbert space of which is of multiplicity one and has perfect spectrum admits a rank one perturbation without eigenvalues. This answers a question of Ionascu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06283","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":"1506.06283","created_at":"2026-05-18T01:41:45.615613+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06283v1","created_at":"2026-05-18T01:41:45.615613+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06283","created_at":"2026-05-18T01:41:45.615613+00:00"},{"alias_kind":"pith_short_12","alias_value":"32BVZNTVRIT3","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"32BVZNTVRIT33FCO","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"32BVZNTV","created_at":"2026-05-18T12:29:02.477457+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/32BVZNTVRIT33FCOP4JR4T6DVH","json":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH.json","graph_json":"https://pith.science/api/pith-number/32BVZNTVRIT33FCOP4JR4T6DVH/graph.json","events_json":"https://pith.science/api/pith-number/32BVZNTVRIT33FCOP4JR4T6DVH/events.json","paper":"https://pith.science/paper/32BVZNTV"},"agent_actions":{"view_html":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH","download_json":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH.json","view_paper":"https://pith.science/paper/32BVZNTV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06283&json=true","fetch_graph":"https://pith.science/api/pith-number/32BVZNTVRIT33FCOP4JR4T6DVH/graph.json","fetch_events":"https://pith.science/api/pith-number/32BVZNTVRIT33FCOP4JR4T6DVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH/action/storage_attestation","attest_author":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH/action/author_attestation","sign_citation":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH/action/citation_signature","submit_replication":"https://pith.science/pith/32BVZNTVRIT33FCOP4JR4T6DVH/action/replication_record"}},"created_at":"2026-05-18T01:41:45.615613+00:00","updated_at":"2026-05-18T01:41:45.615613+00:00"}