{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JV2RUA4WDDVVXEDX5M62BKNLFH","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":"043ccb63863b0d84d3023e698b387a448d1880b1bfd21e948a0b8b63fd2a6307","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-04-13T19:08:58Z","title_canon_sha256":"405d9f5f0934859a5d972d0e3562d77f41af3eba3955ea76d1c8b5a0126744e3"},"schema_version":"1.0","source":{"id":"2604.11976","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.11976","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2604.11976v2","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.11976","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"JV2RUA4WDDVV","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"JV2RUA4WDDVVXEDX","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"JV2RUA4W","created_at":"2026-05-25T02:02:15Z"}],"graph_snapshots":[{"event_id":"sha256:f680880f2a04a88c700fd285a5ac08acc0bd68e243ce679c636a82f71b50a780","target":"graph","created_at":"2026-05-25T02:02:15Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint Λ³ ≪ ρ, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The initial state consists of almost all bosons in the Bose-Einstein condensate with only a few excitations, combined with the specific scaling constraint Λ³ ≪ ρ that controls the mean-field limit."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"In the joint limit of large densities and volumes with Λ³ ≪ ρ, the microscopic Bose polaron dynamics converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The microscopic dynamics of the Bose polaron converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian in the large-volume mean-field limit."}],"snapshot_sha256":"24fb39d945f8196dfd706c5e568034147de6fc76086680904ca0dccca2f30daf"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2604.11976/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of $N$ bosons evolving in $\\mathbb{R}^3$ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high density $\\rho$ and large volume $\\Lambda$ of the gas. In the initial state, almost all bosons are in the Bose-Einstein condensate, with a few excitations. We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint $\\Lambda^3 \\ll \\rho$, the effective description by the translation-invariant Bogoliubov-Fr\\\"ohlich ","authors_text":"Jonas Lampart, Peter Pickl, Siegfried Spruck","cross_cats":["math.MP"],"headline":"The microscopic dynamics of the Bose polaron converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian in the large-volume mean-field limit.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-04-13T19:08:58Z","title":"Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.11976","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-10T15:23:07.458897Z","id":"85bcfb95-ddb7-4819-b1a4-ef7d325ebb52","model_set":{"reader":"grok-4.3"},"one_line_summary":"In the joint limit of large densities and volumes with Λ³ ≪ ρ, the microscopic Bose polaron dynamics converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The microscopic dynamics of the Bose polaron converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian in the large-volume mean-field limit.","strongest_claim":"We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint Λ³ ≪ ρ, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle.","weakest_assumption":"The initial state consists of almost all bosons in the Bose-Einstein condensate with only a few excitations, combined with the specific scaling constraint Λ³ ≪ ρ that controls the mean-field limit."}},"verdict_id":"85bcfb95-ddb7-4819-b1a4-ef7d325ebb52"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6ab087560185df9defb5a9a2d39691e9865e390a3a2569bb7c5153e46a6872d4","target":"record","created_at":"2026-05-25T02:02:15Z","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":"043ccb63863b0d84d3023e698b387a448d1880b1bfd21e948a0b8b63fd2a6307","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-04-13T19:08:58Z","title_canon_sha256":"405d9f5f0934859a5d972d0e3562d77f41af3eba3955ea76d1c8b5a0126744e3"},"schema_version":"1.0","source":{"id":"2604.11976","kind":"arxiv","version":2}},"canonical_sha256":"4d751a039618eb5b9077eb3da0a9ab29f4f5d5a528f200be5ca216659d0a27e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d751a039618eb5b9077eb3da0a9ab29f4f5d5a528f200be5ca216659d0a27e5","first_computed_at":"2026-05-25T02:02:15.221018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:15.221018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQLE7YSd/t8abXpDMBV/fKLWCN6v73wjuFM8oX43ASNAXJOyLvIYWZ68d2HqRKKt6xY3RSqmyCF674u8zmcLCQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:15.221975Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.11976","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ab087560185df9defb5a9a2d39691e9865e390a3a2569bb7c5153e46a6872d4","sha256:f680880f2a04a88c700fd285a5ac08acc0bd68e243ce679c636a82f71b50a780"],"state_sha256":"90cf328a1609d15f8313fbbbc2a26a5d14e050aeede7fd146142a1c703a4968f"}