{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OGKRIQIB4HRCFDU55BLS6SAT3R","short_pith_number":"pith:OGKRIQIB","schema_version":"1.0","canonical_sha256":"7195144101e1e2228e9de8572f4813dc54858dd26018cc9de678da7b84a8a03e","source":{"kind":"arxiv","id":"2601.19469","version":3},"attestation_state":"computed","paper":{"title":"Quantum Zeno-like Paradox for Position Measurements: A Particle Precisely Found in Space is Nowhere to be Found in Hilbert Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Roderich Tumulka, Xabier Oianguren-Asua","submitted_at":"2026-01-27T10:50:49Z","abstract_excerpt":"On a quantum particle in the unit interval $[0,1]$, perform a position measurement with inaccuracy $1/n$ and then a quantum measurement of the projection $|\\phi\\rangle\\langle\\phi|$ with some arbitrary but fixed normalized $\\phi$. Call the outcomes $X \\in[0,1]$ and $Y \\in\\{0,1\\}$. We show that in the limit $n\\to\\infty$ corresponding to perfect precision for $X$, the probability of $Y=1$ tends to 0 for every $\\phi$. Since there is no density matrix, pure or mixed, which upon measurement of any $|\\phi\\rangle\\langle\\phi|$ yields outcome 1 with probability 0, our result suggests that a novel type o"},"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":"2601.19469","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-27T10:50:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"24f70c094af4c8bedd667c59009186c1cde9fe8ef0eb1d992c24cd77844f2e0b","abstract_canon_sha256":"a0d4acb5c7696751b776c78680a907654573728ef9d1ccce39ca4d2af4dd8ac6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-09T01:19:51.318485Z","signature_b64":"301zdwbx/4keC+GyjU9TWW1AgccVBdilkb9ibosvySudzdda+a9rC60mLclOxIjZV679lbGXfiaTlNQG2UYgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7195144101e1e2228e9de8572f4813dc54858dd26018cc9de678da7b84a8a03e","last_reissued_at":"2026-07-09T01:19:51.317996Z","signature_status":"signed_v1","first_computed_at":"2026-07-09T01:19:51.317996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Zeno-like Paradox for Position Measurements: A Particle Precisely Found in Space is Nowhere to be Found in Hilbert Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Roderich Tumulka, Xabier Oianguren-Asua","submitted_at":"2026-01-27T10:50:49Z","abstract_excerpt":"On a quantum particle in the unit interval $[0,1]$, perform a position measurement with inaccuracy $1/n$ and then a quantum measurement of the projection $|\\phi\\rangle\\langle\\phi|$ with some arbitrary but fixed normalized $\\phi$. Call the outcomes $X \\in[0,1]$ and $Y \\in\\{0,1\\}$. We show that in the limit $n\\to\\infty$ corresponding to perfect precision for $X$, the probability of $Y=1$ tends to 0 for every $\\phi$. Since there is no density matrix, pure or mixed, which upon measurement of any $|\\phi\\rangle\\langle\\phi|$ yields outcome 1 with probability 0, our result suggests that a novel type o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.19469","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.19469/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":"2601.19469","created_at":"2026-07-09T01:19:51.318055+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.19469v3","created_at":"2026-07-09T01:19:51.318055+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.19469","created_at":"2026-07-09T01:19:51.318055+00:00"},{"alias_kind":"pith_short_12","alias_value":"OGKRIQIB4HRC","created_at":"2026-07-09T01:19:51.318055+00:00"},{"alias_kind":"pith_short_16","alias_value":"OGKRIQIB4HRCFDU5","created_at":"2026-07-09T01:19:51.318055+00:00"},{"alias_kind":"pith_short_8","alias_value":"OGKRIQIB","created_at":"2026-07-09T01:19:51.318055+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/OGKRIQIB4HRCFDU55BLS6SAT3R","json":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R.json","graph_json":"https://pith.science/api/pith-number/OGKRIQIB4HRCFDU55BLS6SAT3R/graph.json","events_json":"https://pith.science/api/pith-number/OGKRIQIB4HRCFDU55BLS6SAT3R/events.json","paper":"https://pith.science/paper/OGKRIQIB"},"agent_actions":{"view_html":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R","download_json":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R.json","view_paper":"https://pith.science/paper/OGKRIQIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.19469&json=true","fetch_graph":"https://pith.science/api/pith-number/OGKRIQIB4HRCFDU55BLS6SAT3R/graph.json","fetch_events":"https://pith.science/api/pith-number/OGKRIQIB4HRCFDU55BLS6SAT3R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R/action/storage_attestation","attest_author":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R/action/author_attestation","sign_citation":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R/action/citation_signature","submit_replication":"https://pith.science/pith/OGKRIQIB4HRCFDU55BLS6SAT3R/action/replication_record"}},"created_at":"2026-07-09T01:19:51.318055+00:00","updated_at":"2026-07-09T01:19:51.318055+00:00"}