{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:54BORLECHVKW76RAPQVRFJRJGG","short_pith_number":"pith:54BORLEC","schema_version":"1.0","canonical_sha256":"ef02e8ac823d556ffa207c2b12a6293183e58f6b14401a2035dbcba3c02a9fdc","source":{"kind":"arxiv","id":"1710.06830","version":1},"attestation_state":"computed","paper":{"title":"A characterization of positive normal functionals on the full operator algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Tam\\'as Titkos, Zolt\\'an Sebesty\\'en, Zsigmond Tarcsay","submitted_at":"2017-10-18T17:14:24Z","abstract_excerpt":"Using the recent theory of Krein--von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension."},"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":"1710.06830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-18T17:14:24Z","cross_cats_sorted":[],"title_canon_sha256":"45106ed9ff731b34bba8d1ef42f39b5ca62a4f68ddc6e5fdc7d3915dfcc19e8f","abstract_canon_sha256":"5dbf6aa62323d0d32a672da1dd8676514a23d837d70bddd574cd53479d81982f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:31.991432Z","signature_b64":"kowZLUxYLAOEbGrCG8vM/yngMPbGAA1PczDVGWJPyb7vjL5A8rRAhM9z94XuVjptRJUE/0nzxN8Nnvcj7QZOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef02e8ac823d556ffa207c2b12a6293183e58f6b14401a2035dbcba3c02a9fdc","last_reissued_at":"2026-05-18T00:32:31.990731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:31.990731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of positive normal functionals on the full operator algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Tam\\'as Titkos, Zolt\\'an Sebesty\\'en, Zsigmond Tarcsay","submitted_at":"2017-10-18T17:14:24Z","abstract_excerpt":"Using the recent theory of Krein--von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06830","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":"1710.06830","created_at":"2026-05-18T00:32:31.990845+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.06830v1","created_at":"2026-05-18T00:32:31.990845+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06830","created_at":"2026-05-18T00:32:31.990845+00:00"},{"alias_kind":"pith_short_12","alias_value":"54BORLECHVKW","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"54BORLECHVKW76RA","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"54BORLEC","created_at":"2026-05-18T12:31:00.734936+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/54BORLECHVKW76RAPQVRFJRJGG","json":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG.json","graph_json":"https://pith.science/api/pith-number/54BORLECHVKW76RAPQVRFJRJGG/graph.json","events_json":"https://pith.science/api/pith-number/54BORLECHVKW76RAPQVRFJRJGG/events.json","paper":"https://pith.science/paper/54BORLEC"},"agent_actions":{"view_html":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG","download_json":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG.json","view_paper":"https://pith.science/paper/54BORLEC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.06830&json=true","fetch_graph":"https://pith.science/api/pith-number/54BORLECHVKW76RAPQVRFJRJGG/graph.json","fetch_events":"https://pith.science/api/pith-number/54BORLECHVKW76RAPQVRFJRJGG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG/action/storage_attestation","attest_author":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG/action/author_attestation","sign_citation":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG/action/citation_signature","submit_replication":"https://pith.science/pith/54BORLECHVKW76RAPQVRFJRJGG/action/replication_record"}},"created_at":"2026-05-18T00:32:31.990845+00:00","updated_at":"2026-05-18T00:32:31.990845+00:00"}