{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HQDTPOOXQ5JMXZSVCNNOMPN45A","short_pith_number":"pith:HQDTPOOX","schema_version":"1.0","canonical_sha256":"3c0737b9d78752cbe655135ae63dbce82ddc86a39d575c143d886d6508170abc","source":{"kind":"arxiv","id":"1211.6154","version":1},"attestation_state":"computed","paper":{"title":"Hamiltonian dynamics of a particle interacting with a wave field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Arick Shao, Daniel Egli, Israel Michael Sigal, J\\\"urg Fr\\\"ohlich, Zhou Gang","submitted_at":"2012-11-26T22:46:45Z","abstract_excerpt":"We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle through the condensate are constructed. We establish asymptotic stability of ballistic subsonic motion."},"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":"1211.6154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-26T22:46:45Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"052a40b105c1f6fdd5235e3603d1a7f5a4cb14b7c619da1b97c8da0c1f28f8ac","abstract_canon_sha256":"47b90aadfc9c08ab1061f6c35f27c3d2b061c8b0e84d5624d7bcd03c53cd250b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:46.153598Z","signature_b64":"jUZ1YyMvUnBRgAdZN9BOqLawRyaV9PKJtFNcLzYxPNyTBO3+8w7F9Bu0Gh8AwJukcBVzydGmfv3ltLlVoahBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c0737b9d78752cbe655135ae63dbce82ddc86a39d575c143d886d6508170abc","last_reissued_at":"2026-05-18T01:04:46.153155Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:46.153155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian dynamics of a particle interacting with a wave field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Arick Shao, Daniel Egli, Israel Michael Sigal, J\\\"urg Fr\\\"ohlich, Zhou Gang","submitted_at":"2012-11-26T22:46:45Z","abstract_excerpt":"We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle through the condensate are constructed. We establish asymptotic stability of ballistic subsonic motion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6154","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":"1211.6154","created_at":"2026-05-18T01:04:46.153220+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6154v1","created_at":"2026-05-18T01:04:46.153220+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6154","created_at":"2026-05-18T01:04:46.153220+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQDTPOOXQ5JM","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQDTPOOXQ5JMXZSV","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQDTPOOX","created_at":"2026-05-18T12:27:09.501522+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/HQDTPOOXQ5JMXZSVCNNOMPN45A","json":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A.json","graph_json":"https://pith.science/api/pith-number/HQDTPOOXQ5JMXZSVCNNOMPN45A/graph.json","events_json":"https://pith.science/api/pith-number/HQDTPOOXQ5JMXZSVCNNOMPN45A/events.json","paper":"https://pith.science/paper/HQDTPOOX"},"agent_actions":{"view_html":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A","download_json":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A.json","view_paper":"https://pith.science/paper/HQDTPOOX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6154&json=true","fetch_graph":"https://pith.science/api/pith-number/HQDTPOOXQ5JMXZSVCNNOMPN45A/graph.json","fetch_events":"https://pith.science/api/pith-number/HQDTPOOXQ5JMXZSVCNNOMPN45A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A/action/storage_attestation","attest_author":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A/action/author_attestation","sign_citation":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A/action/citation_signature","submit_replication":"https://pith.science/pith/HQDTPOOXQ5JMXZSVCNNOMPN45A/action/replication_record"}},"created_at":"2026-05-18T01:04:46.153220+00:00","updated_at":"2026-05-18T01:04:46.153220+00:00"}