{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VH5A2M4OA2DJWAVFXS77IGEJP4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"838a2dc49e825c7a6fd5cf07100520aff3221e16e8a1658d44b2cd2e1baf82b4","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-25T11:46:30Z","title_canon_sha256":"8f6db35efe131fd153d89d08389d0330eb5c7de7d715b72b453c390e7d1e4ffa"},"schema_version":"1.0","source":{"id":"1311.6270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6270","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6270v1","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6270","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"VH5A2M4OA2DJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VH5A2M4OA2DJWAVF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VH5A2M4O","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:31e4d6d5d5e8bca279db3ebe6f675f0c10a966e6dce70374767b1d126bb990e2","target":"graph","created_at":"2026-05-18T01:46:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We extend the derivation of the time-dependent Hartree-Fock equation recently obtained in [2] to fermions with a relativistic dispersion law. The main new ingredient is the propagation of semiclassical commutator bounds along the pseudo-relativistic Hartree-Fock evolution.","authors_text":"Benjamin Schlein, Marcello Porta, Niels Benedikter","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-25T11:46:30Z","title":"Mean-Field Dynamics of Fermions with Relativistic Dispersion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6270","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:45fedb9f584db48e8a02b3c5f899e6f118cbb71cb3fbecc217502bff3d7cdb7e","target":"record","created_at":"2026-05-18T01:46:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"838a2dc49e825c7a6fd5cf07100520aff3221e16e8a1658d44b2cd2e1baf82b4","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-25T11:46:30Z","title_canon_sha256":"8f6db35efe131fd153d89d08389d0330eb5c7de7d715b72b453c390e7d1e4ffa"},"schema_version":"1.0","source":{"id":"1311.6270","kind":"arxiv","version":1}},"canonical_sha256":"a9fa0d338e06869b02a5bcbff418897f3ba1d660130eca017a3fc7acae06998d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9fa0d338e06869b02a5bcbff418897f3ba1d660130eca017a3fc7acae06998d","first_computed_at":"2026-05-18T01:46:06.463638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:06.463638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eEVorgy4i+g5d+pWHkYYdf99Gizy/P/qKhrHJqIJEm1mmF6Fmp4fgm8UQ+IOPvc/mDkvBUfshfGbuFLNMrXlBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:06.464066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45fedb9f584db48e8a02b3c5f899e6f118cbb71cb3fbecc217502bff3d7cdb7e","sha256:31e4d6d5d5e8bca279db3ebe6f675f0c10a966e6dce70374767b1d126bb990e2"],"state_sha256":"f5e266b651492fad5255cd02c0194924892795e324691c201927e85c0aa7cd18"}