{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Z5DBZNB3COLSNWN26BPO45HTBK","short_pith_number":"pith:Z5DBZNB3","schema_version":"1.0","canonical_sha256":"cf461cb43b139726d9baf05eee74f30a9513fd49b4c95ba8f18a74d8a08abd3b","source":{"kind":"arxiv","id":"1305.3591","version":1},"attestation_state":"computed","paper":{"title":"On a Time-Space Operator (and other Non-Selfadjoint Operators) for Observables in QM and QFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Erasmo Recami, Ignazio Licata, Michel Zamboni-Rached","submitted_at":"2013-05-15T19:16:24Z","abstract_excerpt":"Aim of this paper is trying to show the possible significance, and usefulness, of various non-selfadjoint operators for suitable Observables in non-relativistic and relativistic quantum mechanics, and in quantum electrodynamics: More specifically, this work starts dealing with: (i) the hermitian (but not selfadjoint) Time operator in non-relativistic quantum mechanics and in quantum electrodynamics; with (ii) idem, with the introduction of Time and Space operators; and with (iii) the problem of the four-position and four-momentum operators, each one with its hermitian and anti-hermitian parts,"},"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":"1305.3591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-15T19:16:24Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"560a5a8302ccc8103bd925274ec819908fe4eba9136ecf1f4cc5d451f5129590","abstract_canon_sha256":"b6cea1e32c6de9aae3e03489a8d65ef36c1309f7c6087817bdf67e25782f91d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:35.491664Z","signature_b64":"Sy5qVbFbiKXAwhxR5pJaWDiekFLKxjrY+kTaxn9/1vtqCjvuH0NHM26S7dUrbJfiiCVcenD43TWNp2/j5ipjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf461cb43b139726d9baf05eee74f30a9513fd49b4c95ba8f18a74d8a08abd3b","last_reissued_at":"2026-05-18T03:25:35.491202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:35.491202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Time-Space Operator (and other Non-Selfadjoint Operators) for Observables in QM and QFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Erasmo Recami, Ignazio Licata, Michel Zamboni-Rached","submitted_at":"2013-05-15T19:16:24Z","abstract_excerpt":"Aim of this paper is trying to show the possible significance, and usefulness, of various non-selfadjoint operators for suitable Observables in non-relativistic and relativistic quantum mechanics, and in quantum electrodynamics: More specifically, this work starts dealing with: (i) the hermitian (but not selfadjoint) Time operator in non-relativistic quantum mechanics and in quantum electrodynamics; with (ii) idem, with the introduction of Time and Space operators; and with (iii) the problem of the four-position and four-momentum operators, each one with its hermitian and anti-hermitian parts,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3591","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":"1305.3591","created_at":"2026-05-18T03:25:35.491263+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3591v1","created_at":"2026-05-18T03:25:35.491263+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3591","created_at":"2026-05-18T03:25:35.491263+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z5DBZNB3COLS","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z5DBZNB3COLSNWN2","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z5DBZNB3","created_at":"2026-05-18T12:28:09.283467+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/Z5DBZNB3COLSNWN26BPO45HTBK","json":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK.json","graph_json":"https://pith.science/api/pith-number/Z5DBZNB3COLSNWN26BPO45HTBK/graph.json","events_json":"https://pith.science/api/pith-number/Z5DBZNB3COLSNWN26BPO45HTBK/events.json","paper":"https://pith.science/paper/Z5DBZNB3"},"agent_actions":{"view_html":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK","download_json":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK.json","view_paper":"https://pith.science/paper/Z5DBZNB3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3591&json=true","fetch_graph":"https://pith.science/api/pith-number/Z5DBZNB3COLSNWN26BPO45HTBK/graph.json","fetch_events":"https://pith.science/api/pith-number/Z5DBZNB3COLSNWN26BPO45HTBK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK/action/storage_attestation","attest_author":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK/action/author_attestation","sign_citation":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK/action/citation_signature","submit_replication":"https://pith.science/pith/Z5DBZNB3COLSNWN26BPO45HTBK/action/replication_record"}},"created_at":"2026-05-18T03:25:35.491263+00:00","updated_at":"2026-05-18T03:25:35.491263+00:00"}