{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:I3MD7SYH4GVAJOAZXE7HECICOP","short_pith_number":"pith:I3MD7SYH","schema_version":"1.0","canonical_sha256":"46d83fcb07e1aa04b819b93e72090273dd264b2c0829e24726c2c2507091af80","source":{"kind":"arxiv","id":"0903.1957","version":1},"attestation_state":"computed","paper":{"title":"Arrival Times, Complex Potentials and Decoherent Histories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J.J.Halliwell, J.M.Yearsley","submitted_at":"2009-03-11T12:06:04Z","abstract_excerpt":"We address a number of aspects of the arrival time problem defined using a complex potential of step function form. We concentrate on the limit of a weak potential, in which the resulting arrival time distribution function is closely related to the quantum-mechanical current. We first consider the analagous classical arrival time problem involving an absorbing potential, and this sheds some light on certain aspects of the quantum case. In the quantum case, we review the path decomposition expansion (PDX), in which the propagator is factored across a surface of constant time, so is very useful "},"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":"0903.1957","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:06:04Z","cross_cats_sorted":[],"title_canon_sha256":"eb2a99a4cf93a43495c2e79845eae823bf17f76c1c85afa16c7e7e2799d5eb67","abstract_canon_sha256":"ce547f6ae705fd7925fc4ad5d41b89bc77be28c33fc1f4b5ad842420334d0f2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:35.950467Z","signature_b64":"aQKLwWU/l+4IolFnp+Szk0XVoh1+ITSnB0a3rkSgXBujyy/ev/ZH8Izz50gkA/kbTj/l/CYlRgesTRAm+T8ZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46d83fcb07e1aa04b819b93e72090273dd264b2c0829e24726c2c2507091af80","last_reissued_at":"2026-05-18T02:14:35.949887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:35.949887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arrival Times, Complex Potentials and Decoherent Histories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J.J.Halliwell, J.M.Yearsley","submitted_at":"2009-03-11T12:06:04Z","abstract_excerpt":"We address a number of aspects of the arrival time problem defined using a complex potential of step function form. We concentrate on the limit of a weak potential, in which the resulting arrival time distribution function is closely related to the quantum-mechanical current. We first consider the analagous classical arrival time problem involving an absorbing potential, and this sheds some light on certain aspects of the quantum case. In the quantum case, we review the path decomposition expansion (PDX), in which the propagator is factored across a surface of constant time, so is very useful "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1957","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":"0903.1957","created_at":"2026-05-18T02:14:35.949994+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.1957v1","created_at":"2026-05-18T02:14:35.949994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1957","created_at":"2026-05-18T02:14:35.949994+00:00"},{"alias_kind":"pith_short_12","alias_value":"I3MD7SYH4GVA","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"I3MD7SYH4GVAJOAZ","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"I3MD7SYH","created_at":"2026-05-18T12:25:59.703012+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/I3MD7SYH4GVAJOAZXE7HECICOP","json":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP.json","graph_json":"https://pith.science/api/pith-number/I3MD7SYH4GVAJOAZXE7HECICOP/graph.json","events_json":"https://pith.science/api/pith-number/I3MD7SYH4GVAJOAZXE7HECICOP/events.json","paper":"https://pith.science/paper/I3MD7SYH"},"agent_actions":{"view_html":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP","download_json":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP.json","view_paper":"https://pith.science/paper/I3MD7SYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.1957&json=true","fetch_graph":"https://pith.science/api/pith-number/I3MD7SYH4GVAJOAZXE7HECICOP/graph.json","fetch_events":"https://pith.science/api/pith-number/I3MD7SYH4GVAJOAZXE7HECICOP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP/action/storage_attestation","attest_author":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP/action/author_attestation","sign_citation":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP/action/citation_signature","submit_replication":"https://pith.science/pith/I3MD7SYH4GVAJOAZXE7HECICOP/action/replication_record"}},"created_at":"2026-05-18T02:14:35.949994+00:00","updated_at":"2026-05-18T02:14:35.949994+00:00"}