{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:L3BVGI4S5Q6TM4TSRLLYHNXO4O","short_pith_number":"pith:L3BVGI4S","schema_version":"1.0","canonical_sha256":"5ec3532392ec3d3672728ad783b6eee3b5004a8c64a5d2ff8a48f4029ece0b4b","source":{"kind":"arxiv","id":"cond-mat/0010386","version":3},"attestation_state":"computed","paper":{"title":"Free energy of the Fr\\\"ohlich polaron in two and three dimensions","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"C. Pierleoni, Dept of Physics University of L'Aquila ITALY), J. T. Titantah, S. Ciuchi (INFM","submitted_at":"2000-10-25T09:58:22Z","abstract_excerpt":"We present a novel Path Integral Monte Carlo scheme to solve the Fr\\\"ohlich polaron model. At intermediate and strong electron-phonon coupling, the polaron self-trapping is properly taken into account at the level of an effective action obtained by a preaveraging procedure with a retarded trial action. We compute the free energy at several couplings and temperatures in three and two dimensions. Our results show that the accuracy of the Feynman variational upper bound for the free energy is always better than 5% although the thermodynamics derived from it is not correct. Our estimates of the gr"},"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":"cond-mat/0010386","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-10-25T09:58:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e7decef02c77b8f81d9237327ac47ea47b4d113f67e9d32ee871fc8d8d542698","abstract_canon_sha256":"b122e81819ad56674544838ceacd1b16172ee1666ac42a721a66a26289d7fd60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.146851Z","signature_b64":"A/59YndRxLcB3/zyD3ARRMGjivte5T5doHjy+wZx+r0428d/c5gPq52VqDtXAWYEGqznJB7UzsLPadafXkX/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ec3532392ec3d3672728ad783b6eee3b5004a8c64a5d2ff8a48f4029ece0b4b","last_reissued_at":"2026-05-18T03:24:40.146203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.146203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Free energy of the Fr\\\"ohlich polaron in two and three dimensions","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"C. Pierleoni, Dept of Physics University of L'Aquila ITALY), J. T. Titantah, S. Ciuchi (INFM","submitted_at":"2000-10-25T09:58:22Z","abstract_excerpt":"We present a novel Path Integral Monte Carlo scheme to solve the Fr\\\"ohlich polaron model. At intermediate and strong electron-phonon coupling, the polaron self-trapping is properly taken into account at the level of an effective action obtained by a preaveraging procedure with a retarded trial action. We compute the free energy at several couplings and temperatures in three and two dimensions. Our results show that the accuracy of the Feynman variational upper bound for the free energy is always better than 5% although the thermodynamics derived from it is not correct. Our estimates of the gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0010386","kind":"arxiv","version":3},"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":"cond-mat/0010386","created_at":"2026-05-18T03:24:40.146326+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0010386v3","created_at":"2026-05-18T03:24:40.146326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0010386","created_at":"2026-05-18T03:24:40.146326+00:00"},{"alias_kind":"pith_short_12","alias_value":"L3BVGI4S5Q6T","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"L3BVGI4S5Q6TM4TS","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"L3BVGI4S","created_at":"2026-05-18T12:25:50.254431+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/L3BVGI4S5Q6TM4TSRLLYHNXO4O","json":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O.json","graph_json":"https://pith.science/api/pith-number/L3BVGI4S5Q6TM4TSRLLYHNXO4O/graph.json","events_json":"https://pith.science/api/pith-number/L3BVGI4S5Q6TM4TSRLLYHNXO4O/events.json","paper":"https://pith.science/paper/L3BVGI4S"},"agent_actions":{"view_html":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O","download_json":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O.json","view_paper":"https://pith.science/paper/L3BVGI4S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0010386&json=true","fetch_graph":"https://pith.science/api/pith-number/L3BVGI4S5Q6TM4TSRLLYHNXO4O/graph.json","fetch_events":"https://pith.science/api/pith-number/L3BVGI4S5Q6TM4TSRLLYHNXO4O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O/action/storage_attestation","attest_author":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O/action/author_attestation","sign_citation":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O/action/citation_signature","submit_replication":"https://pith.science/pith/L3BVGI4S5Q6TM4TSRLLYHNXO4O/action/replication_record"}},"created_at":"2026-05-18T03:24:40.146326+00:00","updated_at":"2026-05-18T03:24:40.146326+00:00"}