{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:F5DCHTHZRMV3LRBPUQYBPYRGSQ","short_pith_number":"pith:F5DCHTHZ","schema_version":"1.0","canonical_sha256":"2f4623ccf98b2bb5c42fa43017e22694232ef57d39756240484bd0229afed791","source":{"kind":"arxiv","id":"1306.4093","version":1},"attestation_state":"computed","paper":{"title":"Factorizations of EP Banach space operators and EP Banach algebra elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Enrico Boasso","submitted_at":"2013-06-18T08:02:49Z","abstract_excerpt":"EP Banach space operators and EP Banach algebra elements are characterized using different kinds of factorizations. The results obtained generalize well-known characterizations of EP matrices, EP Hilbert space operators and EP $C^*$-algebra elements. Furthermore, new results that hold in these contexts are presented."},"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":"1306.4093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-18T08:02:49Z","cross_cats_sorted":[],"title_canon_sha256":"26a2e70a20a712107507ae302cb9147fc67d09b53e142e4ae3d215ce08eac31a","abstract_canon_sha256":"66e13f5cca4af32b3d1bb7a11aa264cb69381b41069ec0b43e0566aaed6be5ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:44.374495Z","signature_b64":"wFTz4rPn4T77HkrUnbLiziwBRsczvcMusW3ZNtWyms95lzYSqUOkIFFK2/tqmRD4LzyokR8iKZRFLXoHBbaTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f4623ccf98b2bb5c42fa43017e22694232ef57d39756240484bd0229afed791","last_reissued_at":"2026-05-18T03:20:44.373703Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:44.373703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorizations of EP Banach space operators and EP Banach algebra elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Enrico Boasso","submitted_at":"2013-06-18T08:02:49Z","abstract_excerpt":"EP Banach space operators and EP Banach algebra elements are characterized using different kinds of factorizations. The results obtained generalize well-known characterizations of EP matrices, EP Hilbert space operators and EP $C^*$-algebra elements. Furthermore, new results that hold in these contexts are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4093","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":"1306.4093","created_at":"2026-05-18T03:20:44.373815+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.4093v1","created_at":"2026-05-18T03:20:44.373815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4093","created_at":"2026-05-18T03:20:44.373815+00:00"},{"alias_kind":"pith_short_12","alias_value":"F5DCHTHZRMV3","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"F5DCHTHZRMV3LRBP","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"F5DCHTHZ","created_at":"2026-05-18T12:27:43.054852+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/F5DCHTHZRMV3LRBPUQYBPYRGSQ","json":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ.json","graph_json":"https://pith.science/api/pith-number/F5DCHTHZRMV3LRBPUQYBPYRGSQ/graph.json","events_json":"https://pith.science/api/pith-number/F5DCHTHZRMV3LRBPUQYBPYRGSQ/events.json","paper":"https://pith.science/paper/F5DCHTHZ"},"agent_actions":{"view_html":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ","download_json":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ.json","view_paper":"https://pith.science/paper/F5DCHTHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.4093&json=true","fetch_graph":"https://pith.science/api/pith-number/F5DCHTHZRMV3LRBPUQYBPYRGSQ/graph.json","fetch_events":"https://pith.science/api/pith-number/F5DCHTHZRMV3LRBPUQYBPYRGSQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ/action/storage_attestation","attest_author":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ/action/author_attestation","sign_citation":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ/action/citation_signature","submit_replication":"https://pith.science/pith/F5DCHTHZRMV3LRBPUQYBPYRGSQ/action/replication_record"}},"created_at":"2026-05-18T03:20:44.373815+00:00","updated_at":"2026-05-18T03:20:44.373815+00:00"}