{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VQXQ2L34TLMHE3RWM3ISBBUGLB","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":"3d422e7b413769b42ee57345fbe637270977e5a22e5340c2b9921524f162c4c8","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-02-14T07:04:00Z","title_canon_sha256":"57eb16c8210e6f40e18fb2b86e2df8616724bac4ebe258fc2d172446c8aebbe5"},"schema_version":"1.0","source":{"id":"1302.3322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3322","created_at":"2026-05-18T03:09:33Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3322v1","created_at":"2026-05-18T03:09:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3322","created_at":"2026-05-18T03:09:33Z"},{"alias_kind":"pith_short_12","alias_value":"VQXQ2L34TLMH","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VQXQ2L34TLMHE3RW","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VQXQ2L34","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:9c47892eb633c4043ee88f60b358644f595c4e36a12ec7c5163ff47ea856b97c","target":"graph","created_at":"2026-05-18T03:09:33Z","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"},"paper":{"abstract_excerpt":"When a cold atomic gas is illuminated by a quasi-resonant laser beam, light-induced dipole-dipole correlations make the scattering of light a cooperative process. Once a fluid description is adopted for the atoms, many scattering properties are captured by the definition of a complex refractive index. The solution of the scattering problem is here presented for spherical atomic clouds of arbitrary density profiles, such as parabolic densities characteristic of ultra-cold clouds. A new solution for clouds with infinite boundaries is derived, that is particularly useful for the Gaussian densitie","authors_text":"N. Piovella, Ph.W. Courteille, R. Bachelard","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-02-14T07:04:00Z","title":"Fluid description of the cooperative scattering of light by spherical atomic clouds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3322","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":"sha256:8600c3b69c6a23359ecbab872c6365617734a04c6d89c23bbac746062f06d549","target":"record","created_at":"2026-05-18T03:09:33Z","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":"3d422e7b413769b42ee57345fbe637270977e5a22e5340c2b9921524f162c4c8","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-02-14T07:04:00Z","title_canon_sha256":"57eb16c8210e6f40e18fb2b86e2df8616724bac4ebe258fc2d172446c8aebbe5"},"schema_version":"1.0","source":{"id":"1302.3322","kind":"arxiv","version":1}},"canonical_sha256":"ac2f0d2f7c9ad8726e3666d1208686587325604139f29c0a4d7dfd313dff4699","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac2f0d2f7c9ad8726e3666d1208686587325604139f29c0a4d7dfd313dff4699","first_computed_at":"2026-05-18T03:09:33.813567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:33.813567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MWjwhRHL4Wu4zydsw6IbrUfw/omxf1xYzjXnA6sjTIcdtdgu8yxhsIhCivd4C1orLRXNbCKRQoNoihkF4ciVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:33.814389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8600c3b69c6a23359ecbab872c6365617734a04c6d89c23bbac746062f06d549","sha256:9c47892eb633c4043ee88f60b358644f595c4e36a12ec7c5163ff47ea856b97c"],"state_sha256":"6549045c41977b2d981708f95cee032ce4aa002b9c31886f2401965a0a8c05b6"}