{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:B4VDNTBYRL4FXRTUASDIQKWCDP","short_pith_number":"pith:B4VDNTBY","schema_version":"1.0","canonical_sha256":"0f2a36cc388af85bc6740486882ac21bf35bed3fee3ed0bc8f48cd4557e9ad34","source":{"kind":"arxiv","id":"1903.00536","version":1},"attestation_state":"computed","paper":{"title":"Applications of the worldline Monte Carlo formalism in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th","physics.atom-ph","physics.comp-ph"],"primary_cat":"quant-ph","authors_text":"Axel Weber, Christian Schubert, James P. Edwards, Maria Anabel Trejo, Thomai Tsiftsi, Urs Gerber","submitted_at":"2019-03-01T20:43:51Z","abstract_excerpt":"In recent years efficient algorithms have been developed for the numerical computation of relativistic single-particle path integrals in quantum field theory. Here, we adapt this \"worldline Monte Carlo\" approach to the standard problem of the numerical approximation of the non-relativistic path integral, resulting in a formalism whose characteristic feature is the fast, non-recursive generation of an ensemble of trajectories that is independent of the potential, and thus universally applicable. The numerical implementation discretises the trajectories with respect to their time parametrisation"},"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":"1903.00536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-01T20:43:51Z","cross_cats_sorted":["nucl-th","physics.atom-ph","physics.comp-ph"],"title_canon_sha256":"63f720ff48ad2d785b1b0e80735165681b283ed041eb2e0877372a4b8d59a640","abstract_canon_sha256":"59688da93359a91a2ee183ede4fc32e79335f32a81b35f0932417d9aca019c9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:30:58.418896Z","signature_b64":"lEAcSGgWbJluKpPd3dLYWt5tjvtx3jH0zPmClouDGB9dc03a6OB8CJXseWKq8xFd9/OaLFPcFku8gRcTKKTBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f2a36cc388af85bc6740486882ac21bf35bed3fee3ed0bc8f48cd4557e9ad34","last_reissued_at":"2026-07-05T00:30:58.418407Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:30:58.418407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Applications of the worldline Monte Carlo formalism in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th","physics.atom-ph","physics.comp-ph"],"primary_cat":"quant-ph","authors_text":"Axel Weber, Christian Schubert, James P. Edwards, Maria Anabel Trejo, Thomai Tsiftsi, Urs Gerber","submitted_at":"2019-03-01T20:43:51Z","abstract_excerpt":"In recent years efficient algorithms have been developed for the numerical computation of relativistic single-particle path integrals in quantum field theory. Here, we adapt this \"worldline Monte Carlo\" approach to the standard problem of the numerical approximation of the non-relativistic path integral, resulting in a formalism whose characteristic feature is the fast, non-recursive generation of an ensemble of trajectories that is independent of the potential, and thus universally applicable. The numerical implementation discretises the trajectories with respect to their time parametrisation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00536","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.00536/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1903.00536","created_at":"2026-07-05T00:30:58.418467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.00536v1","created_at":"2026-07-05T00:30:58.418467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00536","created_at":"2026-07-05T00:30:58.418467+00:00"},{"alias_kind":"pith_short_12","alias_value":"B4VDNTBYRL4F","created_at":"2026-07-05T00:30:58.418467+00:00"},{"alias_kind":"pith_short_16","alias_value":"B4VDNTBYRL4FXRTU","created_at":"2026-07-05T00:30:58.418467+00:00"},{"alias_kind":"pith_short_8","alias_value":"B4VDNTBY","created_at":"2026-07-05T00:30:58.418467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.04532","citing_title":"Propagator from Nonperturbative Worldline Dynamics","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP","json":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP.json","graph_json":"https://pith.science/api/pith-number/B4VDNTBYRL4FXRTUASDIQKWCDP/graph.json","events_json":"https://pith.science/api/pith-number/B4VDNTBYRL4FXRTUASDIQKWCDP/events.json","paper":"https://pith.science/paper/B4VDNTBY"},"agent_actions":{"view_html":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP","download_json":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP.json","view_paper":"https://pith.science/paper/B4VDNTBY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.00536&json=true","fetch_graph":"https://pith.science/api/pith-number/B4VDNTBYRL4FXRTUASDIQKWCDP/graph.json","fetch_events":"https://pith.science/api/pith-number/B4VDNTBYRL4FXRTUASDIQKWCDP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP/action/storage_attestation","attest_author":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP/action/author_attestation","sign_citation":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP/action/citation_signature","submit_replication":"https://pith.science/pith/B4VDNTBYRL4FXRTUASDIQKWCDP/action/replication_record"}},"created_at":"2026-07-05T00:30:58.418467+00:00","updated_at":"2026-07-05T00:30:58.418467+00:00"}