{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:H4VPHK2W5WP3LJDNXQ4T7FZC5W","short_pith_number":"pith:H4VPHK2W","schema_version":"1.0","canonical_sha256":"3f2af3ab56ed9fb5a46dbc393f9722ed80c017cde789eac580d1e4b2d979fd1a","source":{"kind":"arxiv","id":"1801.06850","version":2},"attestation_state":"computed","paper":{"title":"Mean field dynamics of a quantum tracer particle interacting with a boson gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Avy Soffer, Thomas Chen","submitted_at":"2018-01-21T16:54:57Z","abstract_excerpt":"We consider the dynamics of a heavy quantum tracer particle coupled to a non-relativistic boson field in ${\\mathbb R}^3$. The pair interactions of the bosons are of mean-field type, with coupling strength proportional to $\\frac1N$ where $N$ is the expected particle number. Assuming that the mass of the tracer particle is proportional to $N$, we derive generalized Hartree equations in the limit $N\\rightarrow\\infty$. Moreover, we prove the global well-posedness of the associated Cauchy problem for sufficiently weak interaction potentials."},"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":"1801.06850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-21T16:54:57Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"3d1bcff552bc784c70d807a27e84a085c119198d2870b9d734a87b40854a9869","abstract_canon_sha256":"4845595685e356ca65fc1d2c46e2f44b82c9e6b00b8e7fcfe0e7684f93803d18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:34.578460Z","signature_b64":"szDI8j48MXsVR5bkEYnMTj4uAF0kxKMftlhlQM0qFV7ggQWFxNodExK0kTcaPx7CUGMclVayUpvGNsblITmuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f2af3ab56ed9fb5a46dbc393f9722ed80c017cde789eac580d1e4b2d979fd1a","last_reissued_at":"2026-05-17T23:55:34.577923Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:34.577923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean field dynamics of a quantum tracer particle interacting with a boson gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Avy Soffer, Thomas Chen","submitted_at":"2018-01-21T16:54:57Z","abstract_excerpt":"We consider the dynamics of a heavy quantum tracer particle coupled to a non-relativistic boson field in ${\\mathbb R}^3$. The pair interactions of the bosons are of mean-field type, with coupling strength proportional to $\\frac1N$ where $N$ is the expected particle number. Assuming that the mass of the tracer particle is proportional to $N$, we derive generalized Hartree equations in the limit $N\\rightarrow\\infty$. Moreover, we prove the global well-posedness of the associated Cauchy problem for sufficiently weak interaction potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06850","kind":"arxiv","version":2},"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":"1801.06850","created_at":"2026-05-17T23:55:34.578006+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.06850v2","created_at":"2026-05-17T23:55:34.578006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06850","created_at":"2026-05-17T23:55:34.578006+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4VPHK2W5WP3","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4VPHK2W5WP3LJDN","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4VPHK2W","created_at":"2026-05-18T12:32:28.185984+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/H4VPHK2W5WP3LJDNXQ4T7FZC5W","json":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W.json","graph_json":"https://pith.science/api/pith-number/H4VPHK2W5WP3LJDNXQ4T7FZC5W/graph.json","events_json":"https://pith.science/api/pith-number/H4VPHK2W5WP3LJDNXQ4T7FZC5W/events.json","paper":"https://pith.science/paper/H4VPHK2W"},"agent_actions":{"view_html":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W","download_json":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W.json","view_paper":"https://pith.science/paper/H4VPHK2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.06850&json=true","fetch_graph":"https://pith.science/api/pith-number/H4VPHK2W5WP3LJDNXQ4T7FZC5W/graph.json","fetch_events":"https://pith.science/api/pith-number/H4VPHK2W5WP3LJDNXQ4T7FZC5W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W/action/storage_attestation","attest_author":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W/action/author_attestation","sign_citation":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W/action/citation_signature","submit_replication":"https://pith.science/pith/H4VPHK2W5WP3LJDNXQ4T7FZC5W/action/replication_record"}},"created_at":"2026-05-17T23:55:34.578006+00:00","updated_at":"2026-05-17T23:55:34.578006+00:00"}