{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NSGMJICFPRUPC34ML26DZ6IV6T","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":"fd26d9d2e0349dbf52f538dd3254fe0ae3e1332ec47997dbf42f80d119575a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-27T16:28:01Z","title_canon_sha256":"fde6587da8ded6561bf875d4394596ff2790625ed832ca797e8384c11f106210"},"schema_version":"1.0","source":{"id":"2411.18483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.18483","created_at":"2026-07-05T11:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"2411.18483v2","created_at":"2026-07-05T11:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.18483","created_at":"2026-07-05T11:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"NSGMJICFPRUP","created_at":"2026-07-05T11:10:49Z"},{"alias_kind":"pith_short_16","alias_value":"NSGMJICFPRUPC34M","created_at":"2026-07-05T11:10:49Z"},{"alias_kind":"pith_short_8","alias_value":"NSGMJICF","created_at":"2026-07-05T11:10:49Z"}],"graph_snapshots":[{"event_id":"sha256:d213e10c7adde730e25846d5fbfdb0262817469a540e12c5f6acdd4196de3b96","target":"graph","created_at":"2026-07-05T11:10:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.18483/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present a large-deviation theory developed for functionals of canonical Gibbs processes, i.e., Gibbs processes with respect to the binomial point process. We study the regime of a fixed intensity in a sequence of increasing windows. Our method relies on the traditional large-deviation result for local bounded functionals of Poisson point processes noting that the binomial point process is obtained from the Poisson point process by conditioning on the point number. Our main methodological contribution is the development of coupling constructions allowing us to handle delicate ","authors_text":"Christian Hirsch, Martina Petr\\'akov\\'a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-27T16:28:01Z","title":"Large Deviation Analysis for Canonical Gibbs Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.18483","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":"sha256:0ec8a22485fd292133e096953a19b7deb24c2d51e991ad087978b8d007b126ff","target":"record","created_at":"2026-07-05T11:10:49Z","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":"fd26d9d2e0349dbf52f538dd3254fe0ae3e1332ec47997dbf42f80d119575a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-27T16:28:01Z","title_canon_sha256":"fde6587da8ded6561bf875d4394596ff2790625ed832ca797e8384c11f106210"},"schema_version":"1.0","source":{"id":"2411.18483","kind":"arxiv","version":2}},"canonical_sha256":"6c8cc4a0457c68f16f8c5ebc3cf915f4db93ded71f5a046c94561809b85da71d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c8cc4a0457c68f16f8c5ebc3cf915f4db93ded71f5a046c94561809b85da71d","first_computed_at":"2026-07-05T11:10:49.190074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:10:49.190074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qe1nz7jSdMQNXTks3oM8wkiUr9CZf0VvScII/qvC8UVUUo6sfBwALJ5JDZxO5tCtofoKTJKATzMw2c8r7AbIBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:10:49.190586Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.18483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ec8a22485fd292133e096953a19b7deb24c2d51e991ad087978b8d007b126ff","sha256:d213e10c7adde730e25846d5fbfdb0262817469a540e12c5f6acdd4196de3b96"],"state_sha256":"8dab8dd454721a88f008d777ac95f07e9211844d87989b6ce398f4ee712aca1b"}