{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:KXTTSU2SXFO74BLBU2FNNO53CP","short_pith_number":"pith:KXTTSU2S","schema_version":"1.0","canonical_sha256":"55e7395352b95dfe0561a68ad6bbbb13eb7b4a97dbf119813a9e499ae58ecd8a","source":{"kind":"arxiv","id":"quant-ph/0206168","version":1},"attestation_state":"computed","paper":{"title":"A dilemma in representing observables in quantum mechanics","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. A. Dubin, J.-P. Pellonpaa, M. A. Hennings, P. Lahti","submitted_at":"2002-06-24T08:17:08Z","abstract_excerpt":"There are self-adjoint operators which determine both spectral and semispectral measures. These measures have very different commutativity and covariance properties. This fact poses a serious question on the physical meaning of such a self-adjoint operator and its associated operator measures."},"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/0206168","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-06-24T08:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"a2b511c91664ccdde346fb33b1be8a824454e747901b5e67d4738002ca38d466","abstract_canon_sha256":"1c1c6851487f27be2697a943b5c7c2d65451d1e6ff981317b024ab7c41c959c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:08.626692Z","signature_b64":"Ta2cdtb7oifHj44shwqPg6ImpfGpdNs24LvTCwNNV/iAXhWO0rUiCmcTd9BCaZzBtQQlXyy0NuMsID1iYnIKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55e7395352b95dfe0561a68ad6bbbb13eb7b4a97dbf119813a9e499ae58ecd8a","last_reissued_at":"2026-05-18T04:39:08.626254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:08.626254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A dilemma in representing observables in quantum mechanics","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. A. Dubin, J.-P. Pellonpaa, M. A. Hennings, P. Lahti","submitted_at":"2002-06-24T08:17:08Z","abstract_excerpt":"There are self-adjoint operators which determine both spectral and semispectral measures. These measures have very different commutativity and covariance properties. This fact poses a serious question on the physical meaning of such a self-adjoint operator and its associated operator measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0206168","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":"quant-ph/0206168","created_at":"2026-05-18T04:39:08.626311+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0206168v1","created_at":"2026-05-18T04:39:08.626311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0206168","created_at":"2026-05-18T04:39:08.626311+00:00"},{"alias_kind":"pith_short_12","alias_value":"KXTTSU2SXFO7","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"KXTTSU2SXFO74BLB","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"KXTTSU2S","created_at":"2026-05-18T12:25:51.375804+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/KXTTSU2SXFO74BLBU2FNNO53CP","json":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP.json","graph_json":"https://pith.science/api/pith-number/KXTTSU2SXFO74BLBU2FNNO53CP/graph.json","events_json":"https://pith.science/api/pith-number/KXTTSU2SXFO74BLBU2FNNO53CP/events.json","paper":"https://pith.science/paper/KXTTSU2S"},"agent_actions":{"view_html":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP","download_json":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP.json","view_paper":"https://pith.science/paper/KXTTSU2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0206168&json=true","fetch_graph":"https://pith.science/api/pith-number/KXTTSU2SXFO74BLBU2FNNO53CP/graph.json","fetch_events":"https://pith.science/api/pith-number/KXTTSU2SXFO74BLBU2FNNO53CP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP/action/storage_attestation","attest_author":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP/action/author_attestation","sign_citation":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP/action/citation_signature","submit_replication":"https://pith.science/pith/KXTTSU2SXFO74BLBU2FNNO53CP/action/replication_record"}},"created_at":"2026-05-18T04:39:08.626311+00:00","updated_at":"2026-05-18T04:39:08.626311+00:00"}