{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:J2TLBQC2OIIPPIFGOTZ6CUDYXU","short_pith_number":"pith:J2TLBQC2","schema_version":"1.0","canonical_sha256":"4ea6b0c05a7210f7a0a674f3e15078bd225ac28c7100565d3f0b7e5109fa07f5","source":{"kind":"arxiv","id":"1005.3839","version":1},"attestation_state":"computed","paper":{"title":"Nonclassical phase-space trajectories for the damped harmonic quantum oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gert-Ludwig Ingold, Leonardo A. Pachon, Thomas Dittrich","submitted_at":"2010-05-20T20:51:01Z","abstract_excerpt":"The phase-space path-integral approach to the damped harmonic oscillator is analyzed beyond the Markovian approximation. It is found that pairs of nonclassical trajectories contribute to the path-integral representation of the Wigner propagating function. Due to the linearity of the problem, the sum coordinate of a pair still satisfies the classical equation of motion. Furthermore, it is shown that the broadening of the Wigner propagating function of the damped oscillator arises due to the time-nonlocal interaction mediated by the heat bath."},"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":"1005.3839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-20T20:51:01Z","cross_cats_sorted":[],"title_canon_sha256":"1b11522dfdafb8d08214c547aea89d6636ec6668ea97d66b6bf552cad775f500","abstract_canon_sha256":"4a2608329bfb26246ce9e61e7e7bb36c72e8f47c07b5ee80c350bd970b39b8bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:50.206075Z","signature_b64":"ihhu/rdyIhlqzYYoOwvAd2x3ArAkNob4NQiMs397GmEd26rdmM/YSE4cR1agPWiUJtS2vTe3+br2dWMnMjSUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ea6b0c05a7210f7a0a674f3e15078bd225ac28c7100565d3f0b7e5109fa07f5","last_reissued_at":"2026-05-18T04:39:50.205505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:50.205505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonclassical phase-space trajectories for the damped harmonic quantum oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gert-Ludwig Ingold, Leonardo A. Pachon, Thomas Dittrich","submitted_at":"2010-05-20T20:51:01Z","abstract_excerpt":"The phase-space path-integral approach to the damped harmonic oscillator is analyzed beyond the Markovian approximation. It is found that pairs of nonclassical trajectories contribute to the path-integral representation of the Wigner propagating function. Due to the linearity of the problem, the sum coordinate of a pair still satisfies the classical equation of motion. Furthermore, it is shown that the broadening of the Wigner propagating function of the damped oscillator arises due to the time-nonlocal interaction mediated by the heat bath."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3839","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":"1005.3839","created_at":"2026-05-18T04:39:50.205603+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.3839v1","created_at":"2026-05-18T04:39:50.205603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3839","created_at":"2026-05-18T04:39:50.205603+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2TLBQC2OIIP","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2TLBQC2OIIPPIFG","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2TLBQC2","created_at":"2026-05-18T12:26:09.077623+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/J2TLBQC2OIIPPIFGOTZ6CUDYXU","json":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU.json","graph_json":"https://pith.science/api/pith-number/J2TLBQC2OIIPPIFGOTZ6CUDYXU/graph.json","events_json":"https://pith.science/api/pith-number/J2TLBQC2OIIPPIFGOTZ6CUDYXU/events.json","paper":"https://pith.science/paper/J2TLBQC2"},"agent_actions":{"view_html":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU","download_json":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU.json","view_paper":"https://pith.science/paper/J2TLBQC2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.3839&json=true","fetch_graph":"https://pith.science/api/pith-number/J2TLBQC2OIIPPIFGOTZ6CUDYXU/graph.json","fetch_events":"https://pith.science/api/pith-number/J2TLBQC2OIIPPIFGOTZ6CUDYXU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU/action/storage_attestation","attest_author":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU/action/author_attestation","sign_citation":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU/action/citation_signature","submit_replication":"https://pith.science/pith/J2TLBQC2OIIPPIFGOTZ6CUDYXU/action/replication_record"}},"created_at":"2026-05-18T04:39:50.205603+00:00","updated_at":"2026-05-18T04:39:50.205603+00:00"}