{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:6ZP5ZXIAATPHQGDK4TPVSMHFWS","short_pith_number":"pith:6ZP5ZXIA","schema_version":"1.0","canonical_sha256":"f65fdcdd0004de78186ae4df5930e5b4b5363e9182b9a6d1071011468ee44ddd","source":{"kind":"arxiv","id":"quant-ph/9802051","version":2},"attestation_state":"computed","paper":{"title":"Notes on nonlinear quantum algorithms","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marek Czachor","submitted_at":"1998-02-19T19:40:10Z","abstract_excerpt":"Recenty Abrams and Lloyd have proposed a fast algorithm that is based on a nonlinear evolution of a state of a quantum computer. They have explicitly used the fact that nonlinear evolutions in Hilbert spaces do not conserve scalar products of states, and applied a description of separated systems taken from Weinberg's nonlinear quantum mechanics. On the other hand it is known that violation of orthogonality combined with the Weinberg-type description generates unphysical, arbitrarily fast influences between noninteracting systems. It was not therefore clear whether the algorithm is fast becaus"},"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":"quant-ph/9802051","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-02-19T19:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"3d50339be6cebc82ec074bdf8fbccfee258e2a978dc893b4e51c6b65900e9e73","abstract_canon_sha256":"f80a9c8bcd90cc9d81cd6c542efe7c46ecfe7f5c2dda0543ba58ca71afbf0ff8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:47:10.923005Z","signature_b64":"bYIw6KcWnTVDV4+oCknMvxTQ5ovLr/FIleEIYmN+EWWh9zwarSWgor1ZJq1ek7uHOc2OAZQM0NIGNjX3x9KbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f65fdcdd0004de78186ae4df5930e5b4b5363e9182b9a6d1071011468ee44ddd","last_reissued_at":"2026-07-04T14:47:10.922630Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:47:10.922630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on nonlinear quantum algorithms","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marek Czachor","submitted_at":"1998-02-19T19:40:10Z","abstract_excerpt":"Recenty Abrams and Lloyd have proposed a fast algorithm that is based on a nonlinear evolution of a state of a quantum computer. They have explicitly used the fact that nonlinear evolutions in Hilbert spaces do not conserve scalar products of states, and applied a description of separated systems taken from Weinberg's nonlinear quantum mechanics. On the other hand it is known that violation of orthogonality combined with the Weinberg-type description generates unphysical, arbitrarily fast influences between noninteracting systems. It was not therefore clear whether the algorithm is fast becaus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9802051","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/9802051/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"quant-ph/9802051","created_at":"2026-07-04T14:47:10.922688+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9802051v2","created_at":"2026-07-04T14:47:10.922688+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9802051","created_at":"2026-07-04T14:47:10.922688+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZP5ZXIAATPH","created_at":"2026-07-04T14:47:10.922688+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZP5ZXIAATPHQGDK","created_at":"2026-07-04T14:47:10.922688+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZP5ZXIA","created_at":"2026-07-04T14:47:10.922688+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.14822","citing_title":"Nonlinear Hamiltonians and Boolean satisfiability","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2606.18428","citing_title":"Quantum algorithm for Valiant-Vazirani reduction","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS","json":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS.json","graph_json":"https://pith.science/api/pith-number/6ZP5ZXIAATPHQGDK4TPVSMHFWS/graph.json","events_json":"https://pith.science/api/pith-number/6ZP5ZXIAATPHQGDK4TPVSMHFWS/events.json","paper":"https://pith.science/paper/6ZP5ZXIA"},"agent_actions":{"view_html":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS","download_json":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS.json","view_paper":"https://pith.science/paper/6ZP5ZXIA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/9802051&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZP5ZXIAATPHQGDK4TPVSMHFWS/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZP5ZXIAATPHQGDK4TPVSMHFWS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS/action/storage_attestation","attest_author":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS/action/author_attestation","sign_citation":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS/action/citation_signature","submit_replication":"https://pith.science/pith/6ZP5ZXIAATPHQGDK4TPVSMHFWS/action/replication_record"}},"created_at":"2026-07-04T14:47:10.922688+00:00","updated_at":"2026-07-04T14:47:10.922688+00:00"}