{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KCLEKULVDOJKNNM6D2UYMAPXDV","short_pith_number":"pith:KCLEKULV","schema_version":"1.0","canonical_sha256":"50964551751b92a6b59e1ea98601f71d4b862221117e3148f7ea4607e0295e58","source":{"kind":"arxiv","id":"2607.25434","version":1},"attestation_state":"computed","paper":{"title":"Don't truncate, decompose: mean-field dynamics of long-range quantum systems from strongly correlated states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Federico Carollo","submitted_at":"2026-07-28T08:29:11Z","abstract_excerpt":"We challenge the widespread consensus that mean-field theory fails to describe long-range open quantum systems in the presence of symmetry breaking and/or when starting from strongly correlated states (e.g., macroscopic superpositions). While recent literature relies on cumulant expansions to capture such systems, this approach rests on truncations with no clear justification. Here, we show that it is, at best, conceptually redundant in the strong long-range regime. We show that the evolution can be decomposed into, and fully reconstructed from, independent mean-field dynamics. This decomposit"},"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":"2607.25434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-28T08:29:11Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"da2079cb8e9d5e7a65e4e6938288d568f4a1e4b1ef4e2419bb4394c012fa3647","abstract_canon_sha256":"a5420d6e9b422aef844fbf1106114758a308766927c84501a13c50b5adc53811"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:25:15.423893Z","signature_b64":"cTubljuo+Bc8wsICABOxq9dr1tdoJ5sieMBCh0GBbjAj+TUov5KTMcGO+1PAMWUFltqYdfQlBATcvLCSwrLzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50964551751b92a6b59e1ea98601f71d4b862221117e3148f7ea4607e0295e58","last_reissued_at":"2026-07-29T01:25:15.423025Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:25:15.423025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Don't truncate, decompose: mean-field dynamics of long-range quantum systems from strongly correlated states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Federico Carollo","submitted_at":"2026-07-28T08:29:11Z","abstract_excerpt":"We challenge the widespread consensus that mean-field theory fails to describe long-range open quantum systems in the presence of symmetry breaking and/or when starting from strongly correlated states (e.g., macroscopic superpositions). While recent literature relies on cumulant expansions to capture such systems, this approach rests on truncations with no clear justification. Here, we show that it is, at best, conceptually redundant in the strong long-range regime. We show that the evolution can be decomposed into, and fully reconstructed from, independent mean-field dynamics. This decomposit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25434","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/2607.25434/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":"2607.25434","created_at":"2026-07-29T01:25:15.423482+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.25434v1","created_at":"2026-07-29T01:25:15.423482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25434","created_at":"2026-07-29T01:25:15.423482+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCLEKULVDOJK","created_at":"2026-07-29T01:25:15.423482+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCLEKULVDOJKNNM6","created_at":"2026-07-29T01:25:15.423482+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCLEKULV","created_at":"2026-07-29T01:25:15.423482+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/KCLEKULVDOJKNNM6D2UYMAPXDV","json":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV.json","graph_json":"https://pith.science/api/pith-number/KCLEKULVDOJKNNM6D2UYMAPXDV/graph.json","events_json":"https://pith.science/api/pith-number/KCLEKULVDOJKNNM6D2UYMAPXDV/events.json","paper":"https://pith.science/paper/KCLEKULV"},"agent_actions":{"view_html":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV","download_json":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV.json","view_paper":"https://pith.science/paper/KCLEKULV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.25434&json=true","fetch_graph":"https://pith.science/api/pith-number/KCLEKULVDOJKNNM6D2UYMAPXDV/graph.json","fetch_events":"https://pith.science/api/pith-number/KCLEKULVDOJKNNM6D2UYMAPXDV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV/action/storage_attestation","attest_author":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV/action/author_attestation","sign_citation":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV/action/citation_signature","submit_replication":"https://pith.science/pith/KCLEKULVDOJKNNM6D2UYMAPXDV/action/replication_record"}},"created_at":"2026-07-29T01:25:15.423482+00:00","updated_at":"2026-07-29T01:25:15.423482+00:00"}