{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:R4L4RV436FZ25FYPMCBVR7IBO3","short_pith_number":"pith:R4L4RV43","schema_version":"1.0","canonical_sha256":"8f17c8d79bf173ae970f608358fd0176fcea4f40280576c31cebd6194524291b","source":{"kind":"arxiv","id":"1304.4771","version":1},"attestation_state":"computed","paper":{"title":"Short Time Quantum Propagator and Bohmian Trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Basil Hiley, Maurice de Gosson","submitted_at":"2013-04-17T11:28:46Z","abstract_excerpt":"We begin by giving correct expressions for the short-time action; following the work of one of us and Makri--Miller. We use these estimates to derive a correct expression modulo modulo delta(t)sqr for the quantum propagator and we show that the quantum potential is negligible modulo delta(t)sqr for a point source. We finally prove that this implies that the quantum motion is classical for very short times."},"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":"1304.4771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-17T11:28:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f7f28063ddf52c8a61a0377ca176f52f59b10f2ed6c332dc65ac062df936a8e9","abstract_canon_sha256":"f7ed90465c75295bc8031b7a855a09244953392a855772b977f9b65f68571902"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:00.734722Z","signature_b64":"3P4gXd2jmphHQnnV8W6fpHAy09vdKu4JgihFZkYIxBGbvokc33/v0za6mfSBma6yTsSHY7oSrB6Af0HmQoyZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f17c8d79bf173ae970f608358fd0176fcea4f40280576c31cebd6194524291b","last_reissued_at":"2026-05-18T03:27:00.734129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:00.734129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Short Time Quantum Propagator and Bohmian Trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Basil Hiley, Maurice de Gosson","submitted_at":"2013-04-17T11:28:46Z","abstract_excerpt":"We begin by giving correct expressions for the short-time action; following the work of one of us and Makri--Miller. We use these estimates to derive a correct expression modulo modulo delta(t)sqr for the quantum propagator and we show that the quantum potential is negligible modulo delta(t)sqr for a point source. We finally prove that this implies that the quantum motion is classical for very short times."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4771","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":"1304.4771","created_at":"2026-05-18T03:27:00.734204+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.4771v1","created_at":"2026-05-18T03:27:00.734204+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4771","created_at":"2026-05-18T03:27:00.734204+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4L4RV436FZ2","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4L4RV436FZ25FYP","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4L4RV43","created_at":"2026-05-18T12:27:57.521954+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/R4L4RV436FZ25FYPMCBVR7IBO3","json":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3.json","graph_json":"https://pith.science/api/pith-number/R4L4RV436FZ25FYPMCBVR7IBO3/graph.json","events_json":"https://pith.science/api/pith-number/R4L4RV436FZ25FYPMCBVR7IBO3/events.json","paper":"https://pith.science/paper/R4L4RV43"},"agent_actions":{"view_html":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3","download_json":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3.json","view_paper":"https://pith.science/paper/R4L4RV43","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.4771&json=true","fetch_graph":"https://pith.science/api/pith-number/R4L4RV436FZ25FYPMCBVR7IBO3/graph.json","fetch_events":"https://pith.science/api/pith-number/R4L4RV436FZ25FYPMCBVR7IBO3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3/action/storage_attestation","attest_author":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3/action/author_attestation","sign_citation":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3/action/citation_signature","submit_replication":"https://pith.science/pith/R4L4RV436FZ25FYPMCBVR7IBO3/action/replication_record"}},"created_at":"2026-05-18T03:27:00.734204+00:00","updated_at":"2026-05-18T03:27:00.734204+00:00"}