{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:MJQZJI7IQUSJPIKUXMOMKBZ5TB","short_pith_number":"pith:MJQZJI7I","schema_version":"1.0","canonical_sha256":"626194a3e8852497a154bb1cc5073d986651ec70114c02a5543dca7fbc810842","source":{"kind":"arxiv","id":"quant-ph/0502149","version":3},"attestation_state":"computed","paper":{"title":"Quantum relative positioning in Hilbert space","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Rosario Fazio, Vittorio Giovannetti","submitted_at":"2005-02-23T17:10:56Z","abstract_excerpt":"A new class of state transformations that are quantum mechanically prohibited is introduced. These can be seen as the generalization of the universal-NOT transformation which, for all pure inputs state of a given Hilbert space produces pure outputs whose projection on the original state is fixed to a value smaller than one. The case of not pure output states is also addressed. We give an application of these transformations in the context of separability criteria."},"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/0502149","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-02-23T17:10:56Z","cross_cats_sorted":[],"title_canon_sha256":"d6a53a2adc8689edb15bd7c929c8e978833bdbd133689e9c531b66173ce35218","abstract_canon_sha256":"2a61ab0a900f79a42a0a8be589e31a8fa8c48e5a63f3e4921def1515112ecdb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:58.016464Z","signature_b64":"u2IMbuek9lsC2aR6WdGgY5qEd6rRE/5i6g1NRE26cSGurUoKjRXU9iY0BGcda9WOoBiTHreuZCQnm0rH3QyaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"626194a3e8852497a154bb1cc5073d986651ec70114c02a5543dca7fbc810842","last_reissued_at":"2026-05-18T01:37:58.015883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:58.015883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum relative positioning in Hilbert space","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Rosario Fazio, Vittorio Giovannetti","submitted_at":"2005-02-23T17:10:56Z","abstract_excerpt":"A new class of state transformations that are quantum mechanically prohibited is introduced. These can be seen as the generalization of the universal-NOT transformation which, for all pure inputs state of a given Hilbert space produces pure outputs whose projection on the original state is fixed to a value smaller than one. The case of not pure output states is also addressed. We give an application of these transformations in the context of separability criteria."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0502149","kind":"arxiv","version":3},"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":"quant-ph/0502149","created_at":"2026-05-18T01:37:58.015992+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0502149v3","created_at":"2026-05-18T01:37:58.015992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0502149","created_at":"2026-05-18T01:37:58.015992+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJQZJI7IQUSJ","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJQZJI7IQUSJPIKU","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJQZJI7I","created_at":"2026-05-18T12:25:53.335082+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/MJQZJI7IQUSJPIKUXMOMKBZ5TB","json":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB.json","graph_json":"https://pith.science/api/pith-number/MJQZJI7IQUSJPIKUXMOMKBZ5TB/graph.json","events_json":"https://pith.science/api/pith-number/MJQZJI7IQUSJPIKUXMOMKBZ5TB/events.json","paper":"https://pith.science/paper/MJQZJI7I"},"agent_actions":{"view_html":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB","download_json":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB.json","view_paper":"https://pith.science/paper/MJQZJI7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0502149&json=true","fetch_graph":"https://pith.science/api/pith-number/MJQZJI7IQUSJPIKUXMOMKBZ5TB/graph.json","fetch_events":"https://pith.science/api/pith-number/MJQZJI7IQUSJPIKUXMOMKBZ5TB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB/action/storage_attestation","attest_author":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB/action/author_attestation","sign_citation":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB/action/citation_signature","submit_replication":"https://pith.science/pith/MJQZJI7IQUSJPIKUXMOMKBZ5TB/action/replication_record"}},"created_at":"2026-05-18T01:37:58.015992+00:00","updated_at":"2026-05-18T01:37:58.015992+00:00"}