{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BFSHZ25EPZDXW2DGIU3GUI7MU5","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":"172d3dd567d031c4af5b13bd6c9c843a9429670abdf6d1e3dc818093d205919e","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-01T13:53:28Z","title_canon_sha256":"59744abde42bb1fce958658a653322c964d10c421b3d0ecf4257d4e4329264c2"},"schema_version":"1.0","source":{"id":"1808.00319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00319","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00319v1","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00319","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"BFSHZ25EPZDX","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BFSHZ25EPZDXW2DG","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BFSHZ25E","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:57e848afc14831ee35815e91ee07f29ea599e65627763b2945c29e8cf1cd62d9","target":"graph","created_at":"2026-05-17T23:43:17Z","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 consider $N$ particles in the plane influenced by a general external potential that are subject to the Coulomb interaction in two dimensions at inverse temperature $\\beta$. At large temperature, when scaling $\\beta=2c/N$ with some fixed constant $c>0$, in the large-$N$ limit we observe a crossover from Ginibre's circular law or its generalization to the density of non-interacting particles at $\\beta=0$. Using several different methods we derive a partial differential equation of generalized Liouville type for the crossover density. For radially symmetric potentials we present some asymptoti","authors_text":"Gernot Akemann, Sung-Soo Byun","cross_cats":["cond-mat.stat-mech","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-01T13:53:28Z","title":"The high temperature crossover for general 2D Coulomb gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00319","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":"sha256:3685d980b428ab688206ecaaca5264ffe62d79e5bb7fbda8df605a81e8d7f538","target":"record","created_at":"2026-05-17T23:43:17Z","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":"172d3dd567d031c4af5b13bd6c9c843a9429670abdf6d1e3dc818093d205919e","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-01T13:53:28Z","title_canon_sha256":"59744abde42bb1fce958658a653322c964d10c421b3d0ecf4257d4e4329264c2"},"schema_version":"1.0","source":{"id":"1808.00319","kind":"arxiv","version":1}},"canonical_sha256":"09647ceba47e477b686645366a23eca77d438297060a0f738bc6208a03af6829","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09647ceba47e477b686645366a23eca77d438297060a0f738bc6208a03af6829","first_computed_at":"2026-05-17T23:43:17.758900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:17.758900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lS8lQtLnNm1odKkJQnzN40GUCHbb2zPCmiedhb4MfYqKaab8XUa4A1jTJpgbfaPO/BMMwxGjBOr/NWvyGF4TBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:17.759552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3685d980b428ab688206ecaaca5264ffe62d79e5bb7fbda8df605a81e8d7f538","sha256:57e848afc14831ee35815e91ee07f29ea599e65627763b2945c29e8cf1cd62d9"],"state_sha256":"20603a95973553c00fccd18e323066817542d947fd8da952ad622b74510ca0e3"}