{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OHEWDGMMXA77W2EKYKF2P73JLR","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":"134ece50319198f416cbb1b94f302cb61ef9c0a346884f061bdcd0490ab5df6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-06T18:00:01Z","title_canon_sha256":"74034ad8728736a2207e79aec6949f4a87c8730b9ea222db42a771cfa51c7b00"},"schema_version":"1.0","source":{"id":"2506.06422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06422","created_at":"2026-05-20T01:04:54Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06422v2","created_at":"2026-05-20T01:04:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06422","created_at":"2026-05-20T01:04:54Z"},{"alias_kind":"pith_short_12","alias_value":"OHEWDGMMXA77","created_at":"2026-05-20T01:04:54Z"},{"alias_kind":"pith_short_16","alias_value":"OHEWDGMMXA77W2EK","created_at":"2026-05-20T01:04:54Z"},{"alias_kind":"pith_short_8","alias_value":"OHEWDGMM","created_at":"2026-05-20T01:04:54Z"}],"graph_snapshots":[{"event_id":"sha256:d76b38fa65b321b7444c10f626cc83e1bed2d9ebf3fc04f444a89476a6424032","target":"graph","created_at":"2026-05-20T01:04:54Z","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/2506.06422/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose new universal formulae for thermal two-point functions of scalar operators based on their analytic structure, constructed to manifestly satisfy all the bootstrap conditions. We derive a dispersion relation in the complexified time plane, which fixes the correlator up to an additive constant and theory-dependent dynamical information. At non-zero spatial separation we introduce a formula for the thermal two-point function obtained by summing over images of the dispersion relation result obtained in the OPE regime. This construction satisfies all thermal bootstrap conditions, with the","authors_text":"Alessio Miscioscia, Deniz N. Bozkurt, Elli Pomoni, Enrico Marchetto, Julien Barrat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-06T18:00:01Z","title":"The analytic bootstrap at finite temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06422","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":"sha256:6347b766a1e7faba70ebe04fbc49ad76238171a7148040ce49bad27b02359437","target":"record","created_at":"2026-05-20T01:04:54Z","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":"134ece50319198f416cbb1b94f302cb61ef9c0a346884f061bdcd0490ab5df6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-06T18:00:01Z","title_canon_sha256":"74034ad8728736a2207e79aec6949f4a87c8730b9ea222db42a771cfa51c7b00"},"schema_version":"1.0","source":{"id":"2506.06422","kind":"arxiv","version":2}},"canonical_sha256":"71c961998cb83ffb688ac28ba7ff695c5a702e4673462feb0a03b1b0d1921424","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71c961998cb83ffb688ac28ba7ff695c5a702e4673462feb0a03b1b0d1921424","first_computed_at":"2026-05-20T01:04:54.936011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:04:54.936011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/NggnHH8BSbEA1uaOlDqWJG7xF55hLpALphTLtK2mAQXXMx2Wcyy5qsiUbuxjkXbuSMxomFP94nvteXQHTUMAQ==","signature_status":"signed_v1","signed_at":"2026-05-20T01:04:54.936967Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6347b766a1e7faba70ebe04fbc49ad76238171a7148040ce49bad27b02359437","sha256:d76b38fa65b321b7444c10f626cc83e1bed2d9ebf3fc04f444a89476a6424032"],"state_sha256":"2e73d3f302a3c33a2b86d5c9fa36592a17a974418d8140abd3bbc23b4b967f1d"}