{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3HPAREYAHWZHLNK7LW3NZLETGM","short_pith_number":"pith:3HPAREYA","canonical_record":{"source":{"id":"1910.09892","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-10-22T11:13:45Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e252b93162177a5ca792c82510e8191c558e7192317d472685abe23987f90439","abstract_canon_sha256":"43b64183a6aca860f1f3315edbb46359eacbe4c746b8cb15bbfade150568cf05"},"schema_version":"1.0"},"canonical_sha256":"d9de0893003db275b55f5db6dcac93330ced04274170ee0eba3aaf5a9fd28303","source":{"kind":"arxiv","id":"1910.09892","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.09892","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1910.09892v4","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09892","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"3HPAREYAHWZH","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_16","alias_value":"3HPAREYAHWZHLNK7","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_8","alias_value":"3HPAREYA","created_at":"2026-07-05T04:20:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3HPAREYAHWZHLNK7LW3NZLETGM","target":"record","payload":{"canonical_record":{"source":{"id":"1910.09892","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-10-22T11:13:45Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e252b93162177a5ca792c82510e8191c558e7192317d472685abe23987f90439","abstract_canon_sha256":"43b64183a6aca860f1f3315edbb46359eacbe4c746b8cb15bbfade150568cf05"},"schema_version":"1.0"},"canonical_sha256":"d9de0893003db275b55f5db6dcac93330ced04274170ee0eba3aaf5a9fd28303","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:20:52.494118Z","signature_b64":"ibQMXzmm5Z0O3yQd6dLIZOZJj5F84vHJfHH/QTWYAj6vp9J0dUDj2RJvKIdUoI4DWBxiaPgIBcXr7g/ywZfDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9de0893003db275b55f5db6dcac93330ced04274170ee0eba3aaf5a9fd28303","last_reissued_at":"2026-07-05T04:20:52.493687Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:20:52.493687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.09892","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Kv0BJNZYbdfswVzQvqzNpIdihtL4u3f9l5RCfSk97RCNYtdive64MOsTucb1mSPLFM/+ww8trM8J1Z/zXPQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T08:28:28.976535Z"},"content_sha256":"20286c21290527987d30d07c1dbbcd7f4b68aa4d11ac6ab0b079751df1399f1e","schema_version":"1.0","event_id":"sha256:20286c21290527987d30d07c1dbbcd7f4b68aa4d11ac6ab0b079751df1399f1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3HPAREYAHWZHLNK7LW3NZLETGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Combined mean-field and semiclassical limits of large fermionic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jinyeop Lee, Li Chen, Matthew Liew","submitted_at":"2019-10-22T11:13:45Z","abstract_excerpt":"We study the time dependent Schr\\\"odinger equation for large spinless fermions with the semiclassical scale $\\hbar = N^{-1/3}$ in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schr\\\"odinger equation into a BBGKY type of hierarchy for the k particle Husimi measure. Further estimates are derived to obtain the weak compactness of the Husimi measure, and in addition uniform estimates for the remainder terms in the hierarchy are derived in order to show that in the semiclassical regime the weak limit of the Husimi measure is exactly the solution of the Vla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09892","kind":"arxiv","version":4},"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/1910.09892/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJK1UY6XhVnaPVjr2GdBiTYADyc8a9Oem6KIoi1CybGIP4BaBGmCXFUgWjT6Hr+5mNH+azGBLAE9kz2GXcgoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T08:28:28.977044Z"},"content_sha256":"75ec7266c325ecef10b3357c08e4e1a7cd9954f21c36e4986498f170aedd6b2b","schema_version":"1.0","event_id":"sha256:75ec7266c325ecef10b3357c08e4e1a7cd9954f21c36e4986498f170aedd6b2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3HPAREYAHWZHLNK7LW3NZLETGM/bundle.json","state_url":"https://pith.science/pith/3HPAREYAHWZHLNK7LW3NZLETGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3HPAREYAHWZHLNK7LW3NZLETGM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-21T08:28:28Z","links":{"resolver":"https://pith.science/pith/3HPAREYAHWZHLNK7LW3NZLETGM","bundle":"https://pith.science/pith/3HPAREYAHWZHLNK7LW3NZLETGM/bundle.json","state":"https://pith.science/pith/3HPAREYAHWZHLNK7LW3NZLETGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3HPAREYAHWZHLNK7LW3NZLETGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3HPAREYAHWZHLNK7LW3NZLETGM","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":"43b64183a6aca860f1f3315edbb46359eacbe4c746b8cb15bbfade150568cf05","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-10-22T11:13:45Z","title_canon_sha256":"e252b93162177a5ca792c82510e8191c558e7192317d472685abe23987f90439"},"schema_version":"1.0","source":{"id":"1910.09892","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.09892","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1910.09892v4","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09892","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"3HPAREYAHWZH","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_16","alias_value":"3HPAREYAHWZHLNK7","created_at":"2026-07-05T04:20:52Z"},{"alias_kind":"pith_short_8","alias_value":"3HPAREYA","created_at":"2026-07-05T04:20:52Z"}],"graph_snapshots":[{"event_id":"sha256:75ec7266c325ecef10b3357c08e4e1a7cd9954f21c36e4986498f170aedd6b2b","target":"graph","created_at":"2026-07-05T04:20:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1910.09892/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the time dependent Schr\\\"odinger equation for large spinless fermions with the semiclassical scale $\\hbar = N^{-1/3}$ in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schr\\\"odinger equation into a BBGKY type of hierarchy for the k particle Husimi measure. Further estimates are derived to obtain the weak compactness of the Husimi measure, and in addition uniform estimates for the remainder terms in the hierarchy are derived in order to show that in the semiclassical regime the weak limit of the Husimi measure is exactly the solution of the Vla","authors_text":"Jinyeop Lee, Li Chen, Matthew Liew","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-10-22T11:13:45Z","title":"Combined mean-field and semiclassical limits of large fermionic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09892","kind":"arxiv","version":4},"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":"sha256:20286c21290527987d30d07c1dbbcd7f4b68aa4d11ac6ab0b079751df1399f1e","target":"record","created_at":"2026-07-05T04:20:52Z","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":"43b64183a6aca860f1f3315edbb46359eacbe4c746b8cb15bbfade150568cf05","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-10-22T11:13:45Z","title_canon_sha256":"e252b93162177a5ca792c82510e8191c558e7192317d472685abe23987f90439"},"schema_version":"1.0","source":{"id":"1910.09892","kind":"arxiv","version":4}},"canonical_sha256":"d9de0893003db275b55f5db6dcac93330ced04274170ee0eba3aaf5a9fd28303","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9de0893003db275b55f5db6dcac93330ced04274170ee0eba3aaf5a9fd28303","first_computed_at":"2026-07-05T04:20:52.493687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:20:52.493687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ibQMXzmm5Z0O3yQd6dLIZOZJj5F84vHJfHH/QTWYAj6vp9J0dUDj2RJvKIdUoI4DWBxiaPgIBcXr7g/ywZfDBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:20:52.494118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.09892","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20286c21290527987d30d07c1dbbcd7f4b68aa4d11ac6ab0b079751df1399f1e","sha256:75ec7266c325ecef10b3357c08e4e1a7cd9954f21c36e4986498f170aedd6b2b"],"state_sha256":"eab2c9b480216908c3b1a3aecfeeb0dd23f6180e0b1685620d7987243445736a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jADLENmooO/8M1rXkrPehUwYfOZAe76l4pc+dg4sdlkMFke2GBPzZVdV5/iegyfy6XVlNTk9mk2vOblH6nnTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T08:28:28.981878Z","bundle_sha256":"ebc964a0104a6198dd6033e4f1a21c74eb99b2fbf45f7d5b78e077cdf64173e8"}}