{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VECBQKGZAC3FGB6SOS6P2PP5G2","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":"fc432242ba23ef7632f29870d39192097c8883dc474a548145a385baa881a5a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-06-24T18:51:31Z","title_canon_sha256":"2f3f56aa98e37ee427c94f27c02c56da358ec4ae64e638b64e6521ad52a373c1"},"schema_version":"1.0","source":{"id":"2406.17069","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.17069","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2406.17069v3","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.17069","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"VECBQKGZAC3F","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"VECBQKGZAC3FGB6S","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"VECBQKGZ","created_at":"2026-05-26T02:04:58Z"}],"graph_snapshots":[{"event_id":"sha256:9f3231dcd310602a44df543ed134a22dfc46461eb94ae1005a492aabea892c8a","target":"graph","created_at":"2026-05-26T02:04:58Z","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/2406.17069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a large deviations principle for the probabilistic Schwarzian Field Theory at low temperatures. We demonstrate that the good rate function is equal to the action of the Schwarzian Field Theory, and we find its minimisers. In addition, we define an analogue of the H\\\"{o}lder condition on the functional space $\\mathrm{Diff}^1(\\mathbb{T})/\\mathrm{PSL}(2,\\mathbb{R})$ in terms of cross-ratio observables, characterise them in terms of the usual H\\\"{o}lder property on the space of continuous functions, and deduce the corresponding compact embedding theorem. We also show that the Schwarzian m","authors_text":"Ilya Losev","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-06-24T18:51:31Z","title":"Large Deviations of the Schwarzian Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.17069","kind":"arxiv","version":3},"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:dd0ea175362b4c7da9bc3e172e8add8693a29c527b9b7f4b4a6d6205f6dad7ea","target":"record","created_at":"2026-05-26T02:04:58Z","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":"fc432242ba23ef7632f29870d39192097c8883dc474a548145a385baa881a5a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-06-24T18:51:31Z","title_canon_sha256":"2f3f56aa98e37ee427c94f27c02c56da358ec4ae64e638b64e6521ad52a373c1"},"schema_version":"1.0","source":{"id":"2406.17069","kind":"arxiv","version":3}},"canonical_sha256":"a9041828d900b65307d274bcfd3dfd3693bc0bd146128209c628171693beae4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9041828d900b65307d274bcfd3dfd3693bc0bd146128209c628171693beae4a","first_computed_at":"2026-05-26T02:04:58.713582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:58.713582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AKFThrhYuqnT49s4VZ1bzUl+NKzVLKTZkr3IRBsR0KdXZn0DmkDFvzlfKL/Zo1wN24UFX/WS6Ptv1kiM4RGzAw==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:58.714455Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.17069","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd0ea175362b4c7da9bc3e172e8add8693a29c527b9b7f4b4a6d6205f6dad7ea","sha256:9f3231dcd310602a44df543ed134a22dfc46461eb94ae1005a492aabea892c8a"],"state_sha256":"d0b0f712ee299c242e26d4bc440899341038eafd4b07671f9181fd0240a9355d"}