{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DVXTWWAVXWNJHCRBODMFOOUCMH","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":"4bec19aa6a6741dce44544a9b39a7110f861e1b804aed73369cc39a9c500c238","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-09T16:52:54Z","title_canon_sha256":"f20752dea80660ec6005412992a1c3321bfbf75e9317f0c34d14dab733561ebb"},"schema_version":"1.0","source":{"id":"1702.02894","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02894","created_at":"2026-05-18T00:31:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02894v2","created_at":"2026-05-18T00:31:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02894","created_at":"2026-05-18T00:31:03Z"},{"alias_kind":"pith_short_12","alias_value":"DVXTWWAVXWNJ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DVXTWWAVXWNJHCRB","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DVXTWWAV","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:bc6b8ed54f4a96fb9fc70f0c352e88b6dfacc5205ea828e7415aeabc08c7b8d1","target":"graph","created_at":"2026-05-18T00:31:03Z","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 study $N$-particle systems in R^d whose interactions are governed by a hypersingular Riesz potential $|x-y|^{-s}$, $s>d$, and subject to an external field. We provide both macroscopic results as well as microscopic results in the limit as $N\\to \\infty$ for random point configurations with respect to the associated Gibbs measure at scaled inverse temperature $\\beta$. We show that a large deviation principle holds with a rate function of the form `$\\beta$-Energy +Entropy', yielding that the microscopic behavior (on the scale $N^{-1/d}$) of such $N$-point systems is asymptotically determined b","authors_text":"Douglas P. Hardin, Edward B. Saff, Sylvia Serfaty, Thomas Lebl\\'e","cross_cats":["cond-mat.stat-mech","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-09T16:52:54Z","title":"Large deviation principles for hypersingular Riesz gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02894","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":"sha256:76d49700e62ccc02b4a2ee3fcd9bcd1a092fecac765a180069fd5d0c1f5da376","target":"record","created_at":"2026-05-18T00:31:03Z","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":"4bec19aa6a6741dce44544a9b39a7110f861e1b804aed73369cc39a9c500c238","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-09T16:52:54Z","title_canon_sha256":"f20752dea80660ec6005412992a1c3321bfbf75e9317f0c34d14dab733561ebb"},"schema_version":"1.0","source":{"id":"1702.02894","kind":"arxiv","version":2}},"canonical_sha256":"1d6f3b5815bd9a938a2170d8573a8261cabaf2ab1c27e4e66184ab689b038a97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d6f3b5815bd9a938a2170d8573a8261cabaf2ab1c27e4e66184ab689b038a97","first_computed_at":"2026-05-18T00:31:03.023221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:03.023221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YfYtkH4S1TtcD4iqgaHvVb//KScb4CU9mJZBG1W9n5tQSdYE6/ZS9ub7lh10LCXxLr821Oh4SaTwAV/PR26sCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:03.023694Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02894","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76d49700e62ccc02b4a2ee3fcd9bcd1a092fecac765a180069fd5d0c1f5da376","sha256:bc6b8ed54f4a96fb9fc70f0c352e88b6dfacc5205ea828e7415aeabc08c7b8d1"],"state_sha256":"4b642b28689ffb274befab92fd82b64ee06bab5c964bdf6c2c8ba1450593ec4d"}