{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FFUMG2RVFAMTLW4WR6ILJMCLES","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":"7727a02be028617777706e25f65b218a2efb5c372650a809038b17b7b0a79b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-25T09:01:30Z","title_canon_sha256":"ff44dd2124a8a9f6d0e8a86bcb4e1a7f0859ab7a7249fea035376db24ca03de7"},"schema_version":"1.0","source":{"id":"1111.5918","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5918","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5918v2","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5918","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"FFUMG2RVFAMT","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FFUMG2RVFAMTLW4W","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FFUMG2RV","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:53932d95c6b0fec5b36ec2902630d244faea471ede0ab643cf017e1565634fe7","target":"graph","created_at":"2026-05-18T02:49:03Z","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 consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in three dimensions. By using a measure transportation technique, we show that Wigner measures propagate along the nonlinear Hartree flow. Such property was previously proved only for bounded potentials in our previous works with a slightly different strategy.","authors_text":"Francis Nier (IRMAR), Zied Ammari (IRMAR)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-25T09:01:30Z","title":"Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5918","kind":"arxiv","version":2},"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:de7cf1e7bcad7de13c4ff88f414a81b54654b808e7ce9f5294a98d18d64db00c","target":"record","created_at":"2026-05-18T02:49:03Z","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":"7727a02be028617777706e25f65b218a2efb5c372650a809038b17b7b0a79b4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-25T09:01:30Z","title_canon_sha256":"ff44dd2124a8a9f6d0e8a86bcb4e1a7f0859ab7a7249fea035376db24ca03de7"},"schema_version":"1.0","source":{"id":"1111.5918","kind":"arxiv","version":2}},"canonical_sha256":"2968c36a35281935db968f90b4b04b2490887ba71ff9cdead303f58e86413676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2968c36a35281935db968f90b4b04b2490887ba71ff9cdead303f58e86413676","first_computed_at":"2026-05-18T02:49:03.494526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:03.494526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BtrNTkXrecK1MdqJL//voqxvGE7t642Le1DzyxzKuhRUHTigJ9H6F/64MSj1X3X5V39V4acyIwxaFvSlYSg7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:03.494926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5918","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de7cf1e7bcad7de13c4ff88f414a81b54654b808e7ce9f5294a98d18d64db00c","sha256:53932d95c6b0fec5b36ec2902630d244faea471ede0ab643cf017e1565634fe7"],"state_sha256":"57c45b4b0560cdcf8b8b19be9399a738f572e3fb20ab2db2134ddf0d7ab48f2a"}