{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:F7SL4J2FJPZXPNUSYVZ6ZELCEE","short_pith_number":"pith:F7SL4J2F","canonical_record":{"source":{"id":"quant-ph/0403194","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-03-27T06:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"59ea14dc825532c333a82fa13410a7165e93b52f0d970e833ed7e9b7aeff3456","abstract_canon_sha256":"a76a1d8bb6cd8cafcff9d9b7925d537a533e3e50a12aaf4de68c62c960242952"},"schema_version":"1.0"},"canonical_sha256":"2fe4be27454bf377b692c573ec9162211a48d03bae4e117a3391fc6e488d3036","source":{"kind":"arxiv","id":"quant-ph/0403194","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0403194","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0403194v1","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0403194","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"F7SL4J2FJPZX","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_16","alias_value":"F7SL4J2FJPZXPNUS","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_8","alias_value":"F7SL4J2F","created_at":"2026-07-04T14:46:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:F7SL4J2FJPZXPNUSYVZ6ZELCEE","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0403194","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-03-27T06:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"59ea14dc825532c333a82fa13410a7165e93b52f0d970e833ed7e9b7aeff3456","abstract_canon_sha256":"a76a1d8bb6cd8cafcff9d9b7925d537a533e3e50a12aaf4de68c62c960242952"},"schema_version":"1.0"},"canonical_sha256":"2fe4be27454bf377b692c573ec9162211a48d03bae4e117a3391fc6e488d3036","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:46:33.509197Z","signature_b64":"Fkxd7XxMguN98yIb11j31T2lxsHV+sFUWHUImD6vWo6LhykoUhrWlUteifHhj6WJVC7Z9Lz0Fk1RS8Q8ANMQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fe4be27454bf377b692c573ec9162211a48d03bae4e117a3391fc6e488d3036","last_reissued_at":"2026-07-04T14:46:33.508791Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:46:33.508791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0403194","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":"2026-07-04T14:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z5Kcm/kZ72dJXoxd+YvIMrUN0zevq4fetw9a9GAcSLZgHEbFoZOfb5BXNVQoXMye7LTlmZZMFvKWJevNYAY8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T17:08:18.736444Z"},"content_sha256":"e9bb7cd117ee91f3d92189419c6e71b8dd396635b52504989c4761fd64602e8a","schema_version":"1.0","event_id":"sha256:e9bb7cd117ee91f3d92189419c6e71b8dd396635b52504989c4761fd64602e8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:F7SL4J2FJPZXPNUSYVZ6ZELCEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recoil Effects in Microwave Ramsey Spectroscopy","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christian J. Borde, Peter Wolf","submitted_at":"2004-03-27T06:49:06Z","abstract_excerpt":"We present a theory of recoil effects in two zone Ramsey spectroscopy, particularly adapted to microwave frequency standards using laser cooled atoms. We describe the atoms by a statistical distribution of Gaussian wave packets which enables us to derive and quantify effects that are related to the coherence properties of the atomic source and that have not been considered previously. We show that, depending on the experimental conditions, the expected recoil frequency shift can be partially cancelled by these effects which can be significant at microwave wavelengths whilst negligible at optic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0403194","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0403194/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":"2026-07-04T14:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"soedYlAnZs5b8XG4VIQey1kY2gYgPJCi38EWGw/Qf0TwbDLBtrlVF8aeNXStXrF2v5pMfFsYv2oJxdi+uAb3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T17:08:18.737066Z"},"content_sha256":"039229081f158862ce11db4eca700b588180d74849712090e82270eb19bb94fb","schema_version":"1.0","event_id":"sha256:039229081f158862ce11db4eca700b588180d74849712090e82270eb19bb94fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/bundle.json","state_url":"https://pith.science/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/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":"2026-07-04T17:08:18Z","links":{"resolver":"https://pith.science/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE","bundle":"https://pith.science/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/bundle.json","state":"https://pith.science/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7SL4J2FJPZXPNUSYVZ6ZELCEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:F7SL4J2FJPZXPNUSYVZ6ZELCEE","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":"a76a1d8bb6cd8cafcff9d9b7925d537a533e3e50a12aaf4de68c62c960242952","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-03-27T06:49:06Z","title_canon_sha256":"59ea14dc825532c333a82fa13410a7165e93b52f0d970e833ed7e9b7aeff3456"},"schema_version":"1.0","source":{"id":"quant-ph/0403194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0403194","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0403194v1","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0403194","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"F7SL4J2FJPZX","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_16","alias_value":"F7SL4J2FJPZXPNUS","created_at":"2026-07-04T14:46:33Z"},{"alias_kind":"pith_short_8","alias_value":"F7SL4J2F","created_at":"2026-07-04T14:46:33Z"}],"graph_snapshots":[{"event_id":"sha256:039229081f158862ce11db4eca700b588180d74849712090e82270eb19bb94fb","target":"graph","created_at":"2026-07-04T14:46:33Z","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/quant-ph/0403194/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a theory of recoil effects in two zone Ramsey spectroscopy, particularly adapted to microwave frequency standards using laser cooled atoms. We describe the atoms by a statistical distribution of Gaussian wave packets which enables us to derive and quantify effects that are related to the coherence properties of the atomic source and that have not been considered previously. We show that, depending on the experimental conditions, the expected recoil frequency shift can be partially cancelled by these effects which can be significant at microwave wavelengths whilst negligible at optic","authors_text":"Christian J. Borde, Peter Wolf","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-03-27T06:49:06Z","title":"Recoil Effects in Microwave Ramsey Spectroscopy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0403194","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:e9bb7cd117ee91f3d92189419c6e71b8dd396635b52504989c4761fd64602e8a","target":"record","created_at":"2026-07-04T14:46:33Z","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":"a76a1d8bb6cd8cafcff9d9b7925d537a533e3e50a12aaf4de68c62c960242952","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-03-27T06:49:06Z","title_canon_sha256":"59ea14dc825532c333a82fa13410a7165e93b52f0d970e833ed7e9b7aeff3456"},"schema_version":"1.0","source":{"id":"quant-ph/0403194","kind":"arxiv","version":1}},"canonical_sha256":"2fe4be27454bf377b692c573ec9162211a48d03bae4e117a3391fc6e488d3036","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fe4be27454bf377b692c573ec9162211a48d03bae4e117a3391fc6e488d3036","first_computed_at":"2026-07-04T14:46:33.508791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:46:33.508791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fkxd7XxMguN98yIb11j31T2lxsHV+sFUWHUImD6vWo6LhykoUhrWlUteifHhj6WJVC7Z9Lz0Fk1RS8Q8ANMQDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:46:33.509197Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0403194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9bb7cd117ee91f3d92189419c6e71b8dd396635b52504989c4761fd64602e8a","sha256:039229081f158862ce11db4eca700b588180d74849712090e82270eb19bb94fb"],"state_sha256":"a710a39677076e17d3bc99a272292659e9a1f8347a7c04ddb20e59a7ce3a2872"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2JNmm4C0+OrMArvzlgZ/tMndIle4MCEAmVt/hZxgdVIuxJsNqsOF9slvh2YUy7PaU6xK7ChSvHLBfGaEmNKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T17:08:18.739861Z","bundle_sha256":"5d1c405b297446dd9686f605c5aa7b671bf06a498487d9d0eb852f0214ab0015"}}