{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GRNJ6SENRPHE7ULZUHBPOENRLA","short_pith_number":"pith:GRNJ6SEN","schema_version":"1.0","canonical_sha256":"345a9f488d8bce4fd179a1c2f711b1580ce33fc934ef672e5141bcdfcbd2aff3","source":{"kind":"arxiv","id":"1305.2768","version":3},"attestation_state":"computed","paper":{"title":"Mean-field Evolution of Fermionic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Schlein, Marcello Porta, Niels Benedikter","submitted_at":"2013-05-13T13:13:51Z","abstract_excerpt":"The mean field limit for systems of many fermions is naturally coupled with a semiclassical limit. This makes the analysis of the mean field regime much more involved, compared with bosonic systems. In this paper, we study the dynamics of initial data close to a Slater determinant, whose reduced one-particle density is an orthogonal projection $\\omega_N$ with the appropriate semiclassical structure. Assuming some regularity of the interaction potential, we show that the evolution of such an initial data remains close to a Slater determinant, with reduced one-particle density given by the solut"},"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":"1305.2768","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-13T13:13:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"cd3d2eacb5aee89722088b2e95800f06000488f4b3207635e3e0c04eb7232ec2","abstract_canon_sha256":"466c93e207ffd55ca7328ca8daa30f39625864a54ce216328ea1b591ed8bec86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:02.886118Z","signature_b64":"fJH5oOutEhUiW93AMVUmzlMMQjvaNl66o6Kd/Mivm/CDSUbBvE6Z/qUEOpNdpHh8YyY/OQfhZ0Sbu3nIxeh+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"345a9f488d8bce4fd179a1c2f711b1580ce33fc934ef672e5141bcdfcbd2aff3","last_reissued_at":"2026-05-18T01:50:02.885438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:02.885438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean-field Evolution of Fermionic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Schlein, Marcello Porta, Niels Benedikter","submitted_at":"2013-05-13T13:13:51Z","abstract_excerpt":"The mean field limit for systems of many fermions is naturally coupled with a semiclassical limit. This makes the analysis of the mean field regime much more involved, compared with bosonic systems. In this paper, we study the dynamics of initial data close to a Slater determinant, whose reduced one-particle density is an orthogonal projection $\\omega_N$ with the appropriate semiclassical structure. Assuming some regularity of the interaction potential, we show that the evolution of such an initial data remains close to a Slater determinant, with reduced one-particle density given by the solut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2768","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":"1305.2768","created_at":"2026-05-18T01:50:02.885572+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.2768v3","created_at":"2026-05-18T01:50:02.885572+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2768","created_at":"2026-05-18T01:50:02.885572+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRNJ6SENRPHE","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRNJ6SENRPHE7ULZ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRNJ6SEN","created_at":"2026-05-18T12:27:45.050594+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/GRNJ6SENRPHE7ULZUHBPOENRLA","json":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA.json","graph_json":"https://pith.science/api/pith-number/GRNJ6SENRPHE7ULZUHBPOENRLA/graph.json","events_json":"https://pith.science/api/pith-number/GRNJ6SENRPHE7ULZUHBPOENRLA/events.json","paper":"https://pith.science/paper/GRNJ6SEN"},"agent_actions":{"view_html":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA","download_json":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA.json","view_paper":"https://pith.science/paper/GRNJ6SEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.2768&json=true","fetch_graph":"https://pith.science/api/pith-number/GRNJ6SENRPHE7ULZUHBPOENRLA/graph.json","fetch_events":"https://pith.science/api/pith-number/GRNJ6SENRPHE7ULZUHBPOENRLA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA/action/storage_attestation","attest_author":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA/action/author_attestation","sign_citation":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA/action/citation_signature","submit_replication":"https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA/action/replication_record"}},"created_at":"2026-05-18T01:50:02.885572+00:00","updated_at":"2026-05-18T01:50:02.885572+00:00"}