{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KIIOGFYFZJHGBMOOAYFWKGXNGU","short_pith_number":"pith:KIIOGFYF","schema_version":"1.0","canonical_sha256":"5210e31705ca4e60b1ce060b651aed35110ed6a0052e1eb3492f4ca080b8a6fb","source":{"kind":"arxiv","id":"1210.3976","version":2},"attestation_state":"computed","paper":{"title":"A perturbative probabilistic approach to quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea di Stefano, Carlo Presilla, Massimo Ostilli","submitted_at":"2012-10-15T11:03:22Z","abstract_excerpt":"In the probabilistic approach to quantum many-body systems, the ground-state energy is the solution of a nonlinear scalar equation written either as a cumulant expansion or as an expectation with respect to a probability distribution of the potential and hopping (amplitude and phase) values recorded during an infinitely lengthy evolution. We introduce a perturbative expansion of this probability distribution which conserves, at any order, a multinomial-like structure, typical of uncorrelated systems, but includes, order by order, the statistical correlations provided by the cumulant expansion."},"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":"1210.3976","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-15T11:03:22Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"0a90f2f0185ff0b4a0ee2e8a3dc72b2d50a347bed35875906e5a62adc3514dae","abstract_canon_sha256":"d75783f6cc1e667898a21ea1069cbc7f9b5f97be9090764cb1d68f70de663b74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:06.527207Z","signature_b64":"mucZmjIbD+F+3Q6afV0o7pKdCJZHsvczA7Vjg9CeAIJPJmDafGi1frNjYk01/WxPWTEPoNEvwBU4UifXWukWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5210e31705ca4e60b1ce060b651aed35110ed6a0052e1eb3492f4ca080b8a6fb","last_reissued_at":"2026-05-18T03:29:06.526804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:06.526804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A perturbative probabilistic approach to quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea di Stefano, Carlo Presilla, Massimo Ostilli","submitted_at":"2012-10-15T11:03:22Z","abstract_excerpt":"In the probabilistic approach to quantum many-body systems, the ground-state energy is the solution of a nonlinear scalar equation written either as a cumulant expansion or as an expectation with respect to a probability distribution of the potential and hopping (amplitude and phase) values recorded during an infinitely lengthy evolution. We introduce a perturbative expansion of this probability distribution which conserves, at any order, a multinomial-like structure, typical of uncorrelated systems, but includes, order by order, the statistical correlations provided by the cumulant expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3976","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":"1210.3976","created_at":"2026-05-18T03:29:06.526863+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3976v2","created_at":"2026-05-18T03:29:06.526863+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3976","created_at":"2026-05-18T03:29:06.526863+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIIOGFYFZJHG","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIIOGFYFZJHGBMOO","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIIOGFYF","created_at":"2026-05-18T12:27:11.947152+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/KIIOGFYFZJHGBMOOAYFWKGXNGU","json":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU.json","graph_json":"https://pith.science/api/pith-number/KIIOGFYFZJHGBMOOAYFWKGXNGU/graph.json","events_json":"https://pith.science/api/pith-number/KIIOGFYFZJHGBMOOAYFWKGXNGU/events.json","paper":"https://pith.science/paper/KIIOGFYF"},"agent_actions":{"view_html":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU","download_json":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU.json","view_paper":"https://pith.science/paper/KIIOGFYF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3976&json=true","fetch_graph":"https://pith.science/api/pith-number/KIIOGFYFZJHGBMOOAYFWKGXNGU/graph.json","fetch_events":"https://pith.science/api/pith-number/KIIOGFYFZJHGBMOOAYFWKGXNGU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU/action/storage_attestation","attest_author":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU/action/author_attestation","sign_citation":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU/action/citation_signature","submit_replication":"https://pith.science/pith/KIIOGFYFZJHGBMOOAYFWKGXNGU/action/replication_record"}},"created_at":"2026-05-18T03:29:06.526863+00:00","updated_at":"2026-05-18T03:29:06.526863+00:00"}