{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MT62FJ7FP34PRRHYHC2LFAQ5RB","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":"5b8238587e8c1c70503146828d0e6b93ce4f5f35232366ec0e469abfd6f54e6e","cross_cats_sorted":["math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-18T14:03:38Z","title_canon_sha256":"066d7ffe99162557d932bb44787138ccaaae63ab4997308f3400dbd1dae3c724"},"schema_version":"1.0","source":{"id":"2412.13868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13868","created_at":"2026-07-05T09:51:10Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13868v1","created_at":"2026-07-05T09:51:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13868","created_at":"2026-07-05T09:51:10Z"},{"alias_kind":"pith_short_12","alias_value":"MT62FJ7FP34P","created_at":"2026-07-05T09:51:10Z"},{"alias_kind":"pith_short_16","alias_value":"MT62FJ7FP34PRRHY","created_at":"2026-07-05T09:51:10Z"},{"alias_kind":"pith_short_8","alias_value":"MT62FJ7F","created_at":"2026-07-05T09:51:10Z"}],"graph_snapshots":[{"event_id":"sha256:65c85a40d031c4ece1c40c009ec2414564885c804e82c6d60375fdfca9f04d75","target":"graph","created_at":"2026-07-05T09:51:10Z","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/2412.13868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation: At positive distance $\\rho>0$ from the initial BEC, the mean-field approximation error at time $t\\leq \\rho/v$ is bounded as $\\rho^{-n}$, for arbitrarily large $n\\geq 1$. This is a consequence of new ballistic propagation bounds on the fluctuations around the condensate. To prove this, we develop a variant of the ASTLO (adiabatic spacetime localization observable) method for the particle non-conserving generator of th","authors_text":"Jingxuan Zhang, Marius Lemm, Simone Rademacher","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-18T14:03:38Z","title":"Local enhancement of the mean-field approximation for bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13868","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":"sha256:15b498d80e7187e76dca1c097b3d5f579507b9761aa1eec56207eb40dc356d47","target":"record","created_at":"2026-07-05T09:51:10Z","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":"5b8238587e8c1c70503146828d0e6b93ce4f5f35232366ec0e469abfd6f54e6e","cross_cats_sorted":["math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-12-18T14:03:38Z","title_canon_sha256":"066d7ffe99162557d932bb44787138ccaaae63ab4997308f3400dbd1dae3c724"},"schema_version":"1.0","source":{"id":"2412.13868","kind":"arxiv","version":1}},"canonical_sha256":"64fda2a7e57ef8f8c4f838b4b2821d8860aa4becba17d9f402af805397e5f846","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64fda2a7e57ef8f8c4f838b4b2821d8860aa4becba17d9f402af805397e5f846","first_computed_at":"2026-07-05T09:51:10.051585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:10.051585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"khIwAyheCPYSBsvb1/cO3yc7NrSAVaZbPDtXxwmafmN9zABdoBGX3d2YepgJR/RtsSy2VGf+hw/IfBRI4KDPAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:10.052056Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.13868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15b498d80e7187e76dca1c097b3d5f579507b9761aa1eec56207eb40dc356d47","sha256:65c85a40d031c4ece1c40c009ec2414564885c804e82c6d60375fdfca9f04d75"],"state_sha256":"702a468fad6d1d24d5a4b97fd5196cf81074eae21e99159f9b5a1e4d443cf24a"}