{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:INARBECQNLZE32J3PQ6PV4GWJ4","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":"865a10ba60107f8763aa7f1412416409f029eec5304968d7640fda245c468440","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-26T21:02:56Z","title_canon_sha256":"4ee987639d1d873cef64135fdbf2b68e9e2c6405628a2d1fe0e36d4143bf11a2"},"schema_version":"1.0","source":{"id":"1104.5033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5033","created_at":"2026-05-18T04:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5033v1","created_at":"2026-05-18T04:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5033","created_at":"2026-05-18T04:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"INARBECQNLZE","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"INARBECQNLZE32J3","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"INARBECQ","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:861d3ff830ed0dbd41775c01f3fc8ef8105c6ca7783d6b0f3a41e4da221929e5","target":"graph","created_at":"2026-05-18T04:23:32Z","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 investigate the geometry of typical equilibrium configurations for a lattice gas in a finite macroscopic domain with attractive, long range Kac potentials. We focus on the case when the system is below the critical temperature and has a fixed number of occupied sites.We connect the properties of typical configurations to the analysis of the constrained minimizers of a mesoscopic non-local free energy functional, which we prove to be the large deviation functional for a density profile in the canonical Gibbs measure with prescribed global density. In the case in which the global density of o","authors_text":"E. A. Carlen, J.L. Lebowitz, R. Esposito, R. Marra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-26T21:02:56Z","title":"Analysis of Droplets in Lattice Systems with Long-range Kac Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5033","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":"sha256:805da909dc99fb1328ba5414cea092abaded737d7b4049f229bebac3bd6f8c5c","target":"record","created_at":"2026-05-18T04:23:32Z","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":"865a10ba60107f8763aa7f1412416409f029eec5304968d7640fda245c468440","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-26T21:02:56Z","title_canon_sha256":"4ee987639d1d873cef64135fdbf2b68e9e2c6405628a2d1fe0e36d4143bf11a2"},"schema_version":"1.0","source":{"id":"1104.5033","kind":"arxiv","version":1}},"canonical_sha256":"43411090506af24de93b7c3cfaf0d64f0de5677bbda08ff99296418cf1c48861","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43411090506af24de93b7c3cfaf0d64f0de5677bbda08ff99296418cf1c48861","first_computed_at":"2026-05-18T04:23:32.355538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:32.355538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4aOM3u00Rid+xgmzFTA6CAh1owa+nXnAY8XnnhBl3CIXcu54wHgyyj203g6vIjQzvrOxa/3HfOlpa06dUV63AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:32.356195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:805da909dc99fb1328ba5414cea092abaded737d7b4049f229bebac3bd6f8c5c","sha256:861d3ff830ed0dbd41775c01f3fc8ef8105c6ca7783d6b0f3a41e4da221929e5"],"state_sha256":"17a38a1bf5b4af6b8b49ca55cf15c5338f2f8a79c79e6c36229b5adf6909b353"}