{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GSEEWTBFEEBVREAY6OYSLL6YZM","short_pith_number":"pith:GSEEWTBF","schema_version":"1.0","canonical_sha256":"34884b4c252103589018f3b125afd8cb14a251602efd27dad8b0a33d1fa40d93","source":{"kind":"arxiv","id":"1703.07983","version":1},"attestation_state":"computed","paper":{"title":"A distance formula related to a family of projections orthogonal to their symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ilya M. Spitkovsky","submitted_at":"2017-03-23T10:02:20Z","abstract_excerpt":"Let u be a hermitian involution, and e an orthogonal projection, acting on the same Hilbert space. We establish the exact formula, in terms of the norm of eue, for the distance from e to the set of all orthogonal projections q from the algebra generated by e,u, and such that quq=0."},"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":"1703.07983","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-23T10:02:20Z","cross_cats_sorted":[],"title_canon_sha256":"bdc3c27a3c0d6fa4db51a83588fb1c725deb8700e342d957d3ddffb394dadf18","abstract_canon_sha256":"0cd8188b56d2b75278170b4762a082884f42f3be7e05ff6b9e788009aeca77de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:04.206892Z","signature_b64":"R64zmBeJshIT0zbNZ+poNfCireujSc6JNuykIO/llkDAvkBSyE1gMW/NlYykkFHAUiT7h7vmC2z1MK36wEJlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34884b4c252103589018f3b125afd8cb14a251602efd27dad8b0a33d1fa40d93","last_reissued_at":"2026-05-18T00:48:04.206255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:04.206255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A distance formula related to a family of projections orthogonal to their symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ilya M. Spitkovsky","submitted_at":"2017-03-23T10:02:20Z","abstract_excerpt":"Let u be a hermitian involution, and e an orthogonal projection, acting on the same Hilbert space. We establish the exact formula, in terms of the norm of eue, for the distance from e to the set of all orthogonal projections q from the algebra generated by e,u, and such that quq=0."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07983","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":"1703.07983","created_at":"2026-05-18T00:48:04.206365+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07983v1","created_at":"2026-05-18T00:48:04.206365+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07983","created_at":"2026-05-18T00:48:04.206365+00:00"},{"alias_kind":"pith_short_12","alias_value":"GSEEWTBFEEBV","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GSEEWTBFEEBVREAY","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GSEEWTBF","created_at":"2026-05-18T12:31:18.294218+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/GSEEWTBFEEBVREAY6OYSLL6YZM","json":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM.json","graph_json":"https://pith.science/api/pith-number/GSEEWTBFEEBVREAY6OYSLL6YZM/graph.json","events_json":"https://pith.science/api/pith-number/GSEEWTBFEEBVREAY6OYSLL6YZM/events.json","paper":"https://pith.science/paper/GSEEWTBF"},"agent_actions":{"view_html":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM","download_json":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM.json","view_paper":"https://pith.science/paper/GSEEWTBF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07983&json=true","fetch_graph":"https://pith.science/api/pith-number/GSEEWTBFEEBVREAY6OYSLL6YZM/graph.json","fetch_events":"https://pith.science/api/pith-number/GSEEWTBFEEBVREAY6OYSLL6YZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM/action/storage_attestation","attest_author":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM/action/author_attestation","sign_citation":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM/action/citation_signature","submit_replication":"https://pith.science/pith/GSEEWTBFEEBVREAY6OYSLL6YZM/action/replication_record"}},"created_at":"2026-05-18T00:48:04.206365+00:00","updated_at":"2026-05-18T00:48:04.206365+00:00"}