{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YJNGIA6LA2JL56V4ECGW756RJ6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"16852b3ae866b9f77147282d3f060a60ab6ad67d1a8076b9c205e6e5e400ee4a","cross_cats_sorted":["math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-06T08:43:45Z","title_canon_sha256":"afaedba61227452ce7faf5bab0a9ec4584345f08657127e2d62ff0810581101a"},"schema_version":"1.0","source":{"id":"1209.1225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1225","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1225v2","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1225","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"YJNGIA6LA2JL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YJNGIA6LA2JL56V4","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YJNGIA6L","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:67c45f6e28deae9866adf45656087c48fe6d4d4b1e056bf22533446609de74f7","target":"graph","created_at":"2026-05-18T01:54:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The state of a system in classical mechanics can be uniquely reconstructed if we know the positions and the momenta of all its parts. In 1958 Pauli has conjectured that the same holds for quantum mechanical systems. The conjecture turned out to be wrong. In this paper we provide a new set of examples of Pauli pairs, being the pairs of quantum states indistinguishable by measuring the spatial location and momentum. In particular, we construct a new set of spatially localized Pauli pairs.","authors_text":"Stanislav Shkarin","cross_cats":["math.CA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-06T08:43:45Z","title":"On Pauli Pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1225","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2624284368061312e8e8894eb2fe277770b679badd286c9a8a8ba585ce36a3d0","target":"record","created_at":"2026-05-18T01:54:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"16852b3ae866b9f77147282d3f060a60ab6ad67d1a8076b9c205e6e5e400ee4a","cross_cats_sorted":["math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-06T08:43:45Z","title_canon_sha256":"afaedba61227452ce7faf5bab0a9ec4584345f08657127e2d62ff0810581101a"},"schema_version":"1.0","source":{"id":"1209.1225","kind":"arxiv","version":2}},"canonical_sha256":"c25a6403cb0692befabc208d6ff7d14fafd341223f9484f5da4ae1a2b59a58d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c25a6403cb0692befabc208d6ff7d14fafd341223f9484f5da4ae1a2b59a58d7","first_computed_at":"2026-05-18T01:54:39.450968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:39.450968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pb80tRsPScWk9QVxc0b9NKRmJSzN3G9pbBGoxTORUyOFFPq65sXZEZ0YRISo7JHhbYDY2HSXl/fYakpU7porBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:39.451626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2624284368061312e8e8894eb2fe277770b679badd286c9a8a8ba585ce36a3d0","sha256:67c45f6e28deae9866adf45656087c48fe6d4d4b1e056bf22533446609de74f7"],"state_sha256":"780a51f971c66eb46c8a312b782bb7570c946e0e55c3eccf4779a99f3d344ccd"}