{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WU77L3FKATJMJA3RTILTZK6KY3","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":"b36addd929549ddf2da338b25dbca6ab95c3e8c639cad3a0b004323c7436227f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-15T08:53:59Z","title_canon_sha256":"ba1b00ef756b1486264beb29e02d2a8ee4a95fae6917205b4741acd7c6c2cf14"},"schema_version":"1.0","source":{"id":"1607.04419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04419","created_at":"2026-05-18T00:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04419v2","created_at":"2026-05-18T00:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04419","created_at":"2026-05-18T00:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"WU77L3FKATJM","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WU77L3FKATJMJA3R","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WU77L3FK","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:e56a94a461d84fb8afeb9b7d44b4dc4a0f4e96d36339a6395564569f0de26500","target":"graph","created_at":"2026-05-18T00:24:45Z","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":"A statistical analysis of the laser excitation of cold and randomly distributed atoms to Rydberg states is developed. We first demonstrate with a hard ball model that the distribution of energy level shifts in an interacting gas obeys L\\'evy statistics, in any dimension $d$ and for any interaction $-C_p/R^p$ under the condition $d/p<1$. This result is confirmed with a Monte Carlo rate equations simulation of the actual laser excitation in the particular case $p=6$ and $d=3$. With this finding, we develop a statistical approach for the modeling of probe light transmission through a cold atom ga","authors_text":"Alexandre Thiery, Jingshan Han, Thibault Vogt, Wenhui Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-15T08:53:59Z","title":"L\\'evy statistics of interacting Rydberg gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04419","kind":"arxiv","version":2},"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":"sha256:9d164b0dc0b0ab26d59004bde06bf5702fa75b5e0fe6eb230800fa91ec9a5341","target":"record","created_at":"2026-05-18T00:24:45Z","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":"b36addd929549ddf2da338b25dbca6ab95c3e8c639cad3a0b004323c7436227f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-15T08:53:59Z","title_canon_sha256":"ba1b00ef756b1486264beb29e02d2a8ee4a95fae6917205b4741acd7c6c2cf14"},"schema_version":"1.0","source":{"id":"1607.04419","kind":"arxiv","version":2}},"canonical_sha256":"b53ff5ecaa04d2c483719a173cabcac6d93fe2b5b54c41f2d14976a53f035690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b53ff5ecaa04d2c483719a173cabcac6d93fe2b5b54c41f2d14976a53f035690","first_computed_at":"2026-05-18T00:24:45.281833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:45.281833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yYv59UTHcBntmomdVKDIt6v/d2Act4HQqtBcwkoXGL4zQLLUaIjHELSkKHFdy0tGjpKe3XDhdOhbvKyLMxjNDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:45.282506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d164b0dc0b0ab26d59004bde06bf5702fa75b5e0fe6eb230800fa91ec9a5341","sha256:e56a94a461d84fb8afeb9b7d44b4dc4a0f4e96d36339a6395564569f0de26500"],"state_sha256":"fb57ffa6aedcea854978e3c5f7bd4955c32f4cba74079a51cf762fcf7396c7cd"}