{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:KUIC2DT64JKYKWPQ3QZSPINL3E","short_pith_number":"pith:KUIC2DT6","canonical_record":{"source":{"id":"quant-ph/0207133","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-07-23T12:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"59771661b16689f19e2474af4879f8c5690eda101ad5b7b030861dd93217d08d","abstract_canon_sha256":"d738695643c04e48da96db802a59ccb24e2e3970935ed10f04c278d6be733980"},"schema_version":"1.0"},"canonical_sha256":"55102d0e7ee2558559f0dc3327a1abd90f86456f5ca4e6fd23c34abe2d859944","source":{"kind":"arxiv","id":"quant-ph/0207133","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0207133","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0207133v1","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0207133","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"KUIC2DT64JKY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KUIC2DT64JKYKWPQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KUIC2DT6","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:KUIC2DT64JKYKWPQ3QZSPINL3E","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0207133","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-07-23T12:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"59771661b16689f19e2474af4879f8c5690eda101ad5b7b030861dd93217d08d","abstract_canon_sha256":"d738695643c04e48da96db802a59ccb24e2e3970935ed10f04c278d6be733980"},"schema_version":"1.0"},"canonical_sha256":"55102d0e7ee2558559f0dc3327a1abd90f86456f5ca4e6fd23c34abe2d859944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:59.492090Z","signature_b64":"P9EHHSO5WpK46qEbCfNCVmxIIxNj6ZP1+mIPgcxGK6ojIIE8Fr87fu3sIBVqeRoOQ+hrEymW4qxUBJojCLi0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55102d0e7ee2558559f0dc3327a1abd90f86456f5ca4e6fd23c34abe2d859944","last_reissued_at":"2026-05-18T01:08:59.491548Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:59.491548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0207133","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+5q63UOjNkR8lRhBy6KZbzXby1147N3bAsBhJ6X2s12yX/dMEUsI9TqcMWoq8HDRl9WZkKzHGx8BgIteoEACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:16:58.593864Z"},"content_sha256":"50e441ecf80b29f41883308c481705a3613b15bd4c31807ad4e50b28152915e2","schema_version":"1.0","event_id":"sha256:50e441ecf80b29f41883308c481705a3613b15bd4c31807ad4e50b28152915e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:KUIC2DT64JKYKWPQ3QZSPINL3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Doppler cooling to the recoil limit using sharp atomic transitions","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jean Claude Garreau, V\\'eronique Zehnl\\'e","submitted_at":"2002-07-23T12:37:02Z","abstract_excerpt":"In this paper, we develop an analytical approach to Doppler cooling of atoms by one- or two-photon transitions when the natural width of the excited level is so small that the process leads to a Doppler temperature comparable to the recoil temperature. A ``quenching'' of the sharp line is introduced in order to allow control of the time scale of the problem. In such limit, the usual Fokker-Planck equation does not correctly describe the cooling process. We propose a generalization of the Fokker-Planck equation and derive a new model which is able to reproduce correctly the numerical results, u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0207133","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7PBi/AYggLK6H51oWR65zUXRFxR3JDHW6jIw/mgDJZTvnu8Rtn1XoNn7GfLTh7s8UxOllSZ9v+4YAvkCHFAGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:16:58.594208Z"},"content_sha256":"f4015980a220216bc4050946f81d6b73a854149462ae175191f4d985f08a16c4","schema_version":"1.0","event_id":"sha256:f4015980a220216bc4050946f81d6b73a854149462ae175191f4d985f08a16c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/bundle.json","state_url":"https://pith.science/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/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":"2026-06-23T21:16:58Z","links":{"resolver":"https://pith.science/pith/KUIC2DT64JKYKWPQ3QZSPINL3E","bundle":"https://pith.science/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/bundle.json","state":"https://pith.science/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUIC2DT64JKYKWPQ3QZSPINL3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KUIC2DT64JKYKWPQ3QZSPINL3E","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":"d738695643c04e48da96db802a59ccb24e2e3970935ed10f04c278d6be733980","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-07-23T12:37:02Z","title_canon_sha256":"59771661b16689f19e2474af4879f8c5690eda101ad5b7b030861dd93217d08d"},"schema_version":"1.0","source":{"id":"quant-ph/0207133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0207133","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0207133v1","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0207133","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"KUIC2DT64JKY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KUIC2DT64JKYKWPQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KUIC2DT6","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:f4015980a220216bc4050946f81d6b73a854149462ae175191f4d985f08a16c4","target":"graph","created_at":"2026-05-18T01:08:59Z","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":"In this paper, we develop an analytical approach to Doppler cooling of atoms by one- or two-photon transitions when the natural width of the excited level is so small that the process leads to a Doppler temperature comparable to the recoil temperature. A ``quenching'' of the sharp line is introduced in order to allow control of the time scale of the problem. In such limit, the usual Fokker-Planck equation does not correctly describe the cooling process. We propose a generalization of the Fokker-Planck equation and derive a new model which is able to reproduce correctly the numerical results, u","authors_text":"Jean Claude Garreau, V\\'eronique Zehnl\\'e","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-07-23T12:37:02Z","title":"Doppler cooling to the recoil limit using sharp atomic transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0207133","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":"sha256:50e441ecf80b29f41883308c481705a3613b15bd4c31807ad4e50b28152915e2","target":"record","created_at":"2026-05-18T01:08:59Z","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":"d738695643c04e48da96db802a59ccb24e2e3970935ed10f04c278d6be733980","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-07-23T12:37:02Z","title_canon_sha256":"59771661b16689f19e2474af4879f8c5690eda101ad5b7b030861dd93217d08d"},"schema_version":"1.0","source":{"id":"quant-ph/0207133","kind":"arxiv","version":1}},"canonical_sha256":"55102d0e7ee2558559f0dc3327a1abd90f86456f5ca4e6fd23c34abe2d859944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55102d0e7ee2558559f0dc3327a1abd90f86456f5ca4e6fd23c34abe2d859944","first_computed_at":"2026-05-18T01:08:59.491548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:59.491548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P9EHHSO5WpK46qEbCfNCVmxIIxNj6ZP1+mIPgcxGK6ojIIE8Fr87fu3sIBVqeRoOQ+hrEymW4qxUBJojCLi0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:59.492090Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0207133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50e441ecf80b29f41883308c481705a3613b15bd4c31807ad4e50b28152915e2","sha256:f4015980a220216bc4050946f81d6b73a854149462ae175191f4d985f08a16c4"],"state_sha256":"e99e34fb0d804bf9434351f5257657da324f2f106cd5c6d091a9b9a54b404fbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uV7bBjH/E03ahG7DwTpvpTVN4Po4A6xzzMiAE/+HD4rovf2hJd4c0Ml0BmoWJTnQAL120qQp95Ytj7x0rUZyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T21:16:58.596155Z","bundle_sha256":"6e74d97bee43367620f192c89637ef43b2386f384a14a8dd29e1a06d99b1499c"}}