{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EXFVDTMVGGAUP5MTUTGHIWDZL7","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":"14b0288ccf915f57229b35da32226077d2e80f9ee9d974d79fcdec04ad6fbab9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-07-10T07:03:25Z","title_canon_sha256":"7d59b1490c7f34151fc53b6c063667ed8f4fcbc634ead2de8a799e89021fe3fb"},"schema_version":"1.0","source":{"id":"2507.07475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.07475","created_at":"2026-07-05T11:34:58Z"},{"alias_kind":"arxiv_version","alias_value":"2507.07475v1","created_at":"2026-07-05T11:34:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.07475","created_at":"2026-07-05T11:34:58Z"},{"alias_kind":"pith_short_12","alias_value":"EXFVDTMVGGAU","created_at":"2026-07-05T11:34:58Z"},{"alias_kind":"pith_short_16","alias_value":"EXFVDTMVGGAUP5MT","created_at":"2026-07-05T11:34:58Z"},{"alias_kind":"pith_short_8","alias_value":"EXFVDTMV","created_at":"2026-07-05T11:34:58Z"}],"graph_snapshots":[{"event_id":"sha256:124394fc154c91d4cceda394b90a73ff29f3f041faae87af360e9854649a19da","target":"graph","created_at":"2026-07-05T11:34:58Z","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/2507.07475/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a quantum theory of a magneto-optical trap (MOT) from first principles based on the quantum kinetic equation for the atomic density matrix with taking into account the recoil effects caused by the interaction of atoms with the laser field. An efficient method for solving the quantum kinetic equation is proposed. It is shown that the steady-state solution describing the atoms in the MOT has a significantly non-equilibrium nature and can be described within the framework of a two-temperature distribution. The momentum distribution of cold atoms in the MOT depends on the magnetic field","authors_text":"A. V. Taichenachev, L.Zhou, M.S. Zhan, O.N. Prudnikov, V.I. Yudin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-07-10T07:03:25Z","title":"Quantum theory of magneto-optical trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.07475","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":"sha256:562a1745e0fcfe7f91b8ee7ee751b8cf17227ecb1579acdf1ef3481a27e1090f","target":"record","created_at":"2026-07-05T11:34:58Z","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":"14b0288ccf915f57229b35da32226077d2e80f9ee9d974d79fcdec04ad6fbab9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-07-10T07:03:25Z","title_canon_sha256":"7d59b1490c7f34151fc53b6c063667ed8f4fcbc634ead2de8a799e89021fe3fb"},"schema_version":"1.0","source":{"id":"2507.07475","kind":"arxiv","version":1}},"canonical_sha256":"25cb51cd95318147f593a4cc7458795ff7b4c0a0a1765d89805dfc435cf8aacc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25cb51cd95318147f593a4cc7458795ff7b4c0a0a1765d89805dfc435cf8aacc","first_computed_at":"2026-07-05T11:34:58.956451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:58.956451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sp+57WZ5biEC9JF8Pqz3AqrckG5kpdDcGCG/C69/1btGMlhesJ+u1xl7jYO2VKT+i7Lhjl7HHoN+G2/aa/1hCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:58.956939Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.07475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:562a1745e0fcfe7f91b8ee7ee751b8cf17227ecb1579acdf1ef3481a27e1090f","sha256:124394fc154c91d4cceda394b90a73ff29f3f041faae87af360e9854649a19da"],"state_sha256":"cba5939560e33f738f667365b69c5e95b4cd20698ac5512f6a8dcd90be5dd533"}