{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6YFJMA4O5BF7SHHTQ3CRG6ZQO3","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":"2b74cdef4ede6d3121370b83b50d7e09ebbdf172d905ed5291b9a75767300673","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-03-29T22:00:29Z","title_canon_sha256":"a0443ef14f2b5b8a11f59101fe5d0cedd5b13bcb362748d35500ec79754c6b38"},"schema_version":"1.0","source":{"id":"1803.11269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11269","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11269v1","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11269","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"6YFJMA4O5BF7","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6YFJMA4O5BF7SHHT","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6YFJMA4O","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:11e50b455c311e37ac768f28d0abdc4d9af7240897aeecf3d465c2d82d7c8891","target":"graph","created_at":"2026-05-18T00:07:34Z","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":"We present a complete theory for the full particle statistics of the positions of bulk and extremal particles in a one-dimensional Coulomb Gas (CG) with an arbitrary potential, in the typical and large deviations regimes. Typical fluctuations are described by a universal function which depends solely on general properties of the external potential. The rate function controlling large deviations is, rather unexpectedly, not strictly convex and has a discontinuous third derivative around its minimum for both extremal and bulk particles. This implies, in turn, that the rate function cannot predic","authors_text":"Christopher Sebastian Hidalgo Calva, Isaac P\\'erez Castillo, Rafael D\\'iaz Hern\\'andez Rojas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-03-29T22:00:29Z","title":"Universal behavior of the full particle statistics of one-dimensional Coulomb gases with an arbitrary external potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11269","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":"sha256:074e616b6c815dccfc65bf913a7872af32432f9b871c5120f186259fe5cadd57","target":"record","created_at":"2026-05-18T00:07:34Z","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":"2b74cdef4ede6d3121370b83b50d7e09ebbdf172d905ed5291b9a75767300673","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-03-29T22:00:29Z","title_canon_sha256":"a0443ef14f2b5b8a11f59101fe5d0cedd5b13bcb362748d35500ec79754c6b38"},"schema_version":"1.0","source":{"id":"1803.11269","kind":"arxiv","version":1}},"canonical_sha256":"f60a96038ee84bf91cf386c5137b3076f76a8cd60ca059105c8531777c6d9c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f60a96038ee84bf91cf386c5137b3076f76a8cd60ca059105c8531777c6d9c14","first_computed_at":"2026-05-18T00:07:34.840159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:34.840159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xpNF5NLOHvgVc7+Oi6rZLKbKCavtbMIPNSw8FOq29JXMzdSdyVYgzrJdyJuvmXG68eyfsEbKCa05V3K/DVJMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:34.840789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.11269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:074e616b6c815dccfc65bf913a7872af32432f9b871c5120f186259fe5cadd57","sha256:11e50b455c311e37ac768f28d0abdc4d9af7240897aeecf3d465c2d82d7c8891"],"state_sha256":"3c5b2db13c1ad492ac981cdb648e1946ef8c013fa829c17c803b80877268ed93"}