{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MJ7XYUI24XU4YXOODZLK7SHVQC","short_pith_number":"pith:MJ7XYUI2","schema_version":"1.0","canonical_sha256":"627f7c511ae5e9cc5dce1e56afc8f58095c2812014036406bf4f05407f5e9359","source":{"kind":"arxiv","id":"1610.08219","version":1},"attestation_state":"computed","paper":{"title":"On large deviations for Gibbs measures, mean energy and Gamma-convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Robert J. Berman","submitted_at":"2016-10-26T07:42:47Z","abstract_excerpt":"We consider the random point processes on a measure space X defined by the Gibbs measures associated to a given sequence of N-particle Hamiltonians H^{(N)}. Inspired by the method of Messer-Spohn for proving concentration properties for the laws of the corresponding empirical measures, we propose a number of hypotheses on H^{(N)} which are quite general, but still strong enough to extend the approach of Messer-Spohn. The hypotheses are formulated in terms of the asymptotics of the corresponding mean energy functionals. We show that in many situations the approach even yields a Large Deviation "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.08219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-26T07:42:47Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"9de36daf09700eccf353ad978b42c734274f5cce8308144308eda07164dc953e","abstract_canon_sha256":"70e9ba4bfc2447f15bc98ee69ced85d6a2dab73ade516b31e4ad02e3e0246f44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:14.705431Z","signature_b64":"KVVirJI+fwKwrFn3gTHWPB7dnLBoJSRWhKgJDkQ/DPlPliAJCMcp20bCicUKVWp9JvYuUOr9q7EVwa6G/OKOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"627f7c511ae5e9cc5dce1e56afc8f58095c2812014036406bf4f05407f5e9359","last_reissued_at":"2026-05-18T01:01:14.704674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:14.704674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On large deviations for Gibbs measures, mean energy and Gamma-convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Robert J. Berman","submitted_at":"2016-10-26T07:42:47Z","abstract_excerpt":"We consider the random point processes on a measure space X defined by the Gibbs measures associated to a given sequence of N-particle Hamiltonians H^{(N)}. Inspired by the method of Messer-Spohn for proving concentration properties for the laws of the corresponding empirical measures, we propose a number of hypotheses on H^{(N)} which are quite general, but still strong enough to extend the approach of Messer-Spohn. The hypotheses are formulated in terms of the asymptotics of the corresponding mean energy functionals. We show that in many situations the approach even yields a Large Deviation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08219","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.08219","created_at":"2026-05-18T01:01:14.704804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.08219v1","created_at":"2026-05-18T01:01:14.704804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08219","created_at":"2026-05-18T01:01:14.704804+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJ7XYUI24XU4","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJ7XYUI24XU4YXOO","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJ7XYUI2","created_at":"2026-05-18T12:30:32.724797+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC","json":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC.json","graph_json":"https://pith.science/api/pith-number/MJ7XYUI24XU4YXOODZLK7SHVQC/graph.json","events_json":"https://pith.science/api/pith-number/MJ7XYUI24XU4YXOODZLK7SHVQC/events.json","paper":"https://pith.science/paper/MJ7XYUI2"},"agent_actions":{"view_html":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC","download_json":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC.json","view_paper":"https://pith.science/paper/MJ7XYUI2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.08219&json=true","fetch_graph":"https://pith.science/api/pith-number/MJ7XYUI24XU4YXOODZLK7SHVQC/graph.json","fetch_events":"https://pith.science/api/pith-number/MJ7XYUI24XU4YXOODZLK7SHVQC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC/action/storage_attestation","attest_author":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC/action/author_attestation","sign_citation":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC/action/citation_signature","submit_replication":"https://pith.science/pith/MJ7XYUI24XU4YXOODZLK7SHVQC/action/replication_record"}},"created_at":"2026-05-18T01:01:14.704804+00:00","updated_at":"2026-05-18T01:01:14.704804+00:00"}