{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:4SXGG223GL3I7FS3CTYHEWEKYU","short_pith_number":"pith:4SXGG223","canonical_record":{"source":{"id":"2311.02742","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-05T19:14:18Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"title_canon_sha256":"a4328e61198d19e7169fb1e81bdd5b2053f3af9f6828878b48dcfecae450a198","abstract_canon_sha256":"bf7444fb749967814047a3166e86ff32b55d9f3658f4102a540d4fe05d9b6933"},"schema_version":"1.0"},"canonical_sha256":"e4ae636b5b32f68f965b14f072588ac52bd4f643741d2d10d67b200d8341e615","source":{"kind":"arxiv","id":"2311.02742","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.02742","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"arxiv_version","alias_value":"2311.02742v6","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.02742","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_12","alias_value":"4SXGG223GL3I","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"4SXGG223GL3I7FS3","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"4SXGG223","created_at":"2026-07-05T11:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:4SXGG223GL3I7FS3CTYHEWEKYU","target":"record","payload":{"canonical_record":{"source":{"id":"2311.02742","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-05T19:14:18Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"title_canon_sha256":"a4328e61198d19e7169fb1e81bdd5b2053f3af9f6828878b48dcfecae450a198","abstract_canon_sha256":"bf7444fb749967814047a3166e86ff32b55d9f3658f4102a540d4fe05d9b6933"},"schema_version":"1.0"},"canonical_sha256":"e4ae636b5b32f68f965b14f072588ac52bd4f643741d2d10d67b200d8341e615","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:57.326793Z","signature_b64":"36fWkFUBj1/X8vXV7tRTE9ftNHl9TUBheLlfLi0RlkouT35ubSBtAlvv16M4Mdnh0HZ8ov1vXs5w+h8iLZDaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4ae636b5b32f68f965b14f072588ac52bd4f643741d2d10d67b200d8341e615","last_reissued_at":"2026-07-05T11:28:57.326265Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:57.326265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.02742","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:28:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6XcEHyf0sgHFbgI78cQbND3BZhGy6hWoZhXP8Br7bePeszHdihi01IQKQRf/oUVCTuQTW7YHdngjnmuEaT9mDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T21:36:14.077037Z"},"content_sha256":"19312ed022382514fc6c2f95c164393cd52d1eec427e026e1105bc0adebbc08a","schema_version":"1.0","event_id":"sha256:19312ed022382514fc6c2f95c164393cd52d1eec427e026e1105bc0adebbc08a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:4SXGG223GL3I7FS3CTYHEWEKYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic and numerical bootstrap for the long-range Ising model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"primary_cat":"hep-th","authors_text":"Connor Behan, Edoardo Lauria, Maria Nocchi, Philine van Vliet","submitted_at":"2023-11-05T19:14:18Z","abstract_excerpt":"We combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in two and three dimensions. This model interpolates between short-range Ising (SRI) and mean-field behaviour. We use the Lorentzian inversion formula to compute infinitely many three-loop corrections in the two-dimensional LRI near the mean-field end. We further exploit the exact OPE relations that follow from bulk locality of the LRI to compute infinitely many two-loop corrections near the mean-field end, as well as some one-loop corrections near SRI"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.02742","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.02742/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:28:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+hZM+oDmzwIRVjZCnZUNymFXK+NoeFLb5tJSCdABDMNNb+jG1Ff9G/J7IJGF9QUBsx24ZDAy5jaOkzv56bICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T21:36:14.077547Z"},"content_sha256":"f757af926969dc6e3a564a12bf17daa8162f1e255da9f7b469c2111b684ca4e1","schema_version":"1.0","event_id":"sha256:f757af926969dc6e3a564a12bf17daa8162f1e255da9f7b469c2111b684ca4e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SXGG223GL3I7FS3CTYHEWEKYU/bundle.json","state_url":"https://pith.science/pith/4SXGG223GL3I7FS3CTYHEWEKYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SXGG223GL3I7FS3CTYHEWEKYU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T21:36:14Z","links":{"resolver":"https://pith.science/pith/4SXGG223GL3I7FS3CTYHEWEKYU","bundle":"https://pith.science/pith/4SXGG223GL3I7FS3CTYHEWEKYU/bundle.json","state":"https://pith.science/pith/4SXGG223GL3I7FS3CTYHEWEKYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SXGG223GL3I7FS3CTYHEWEKYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4SXGG223GL3I7FS3CTYHEWEKYU","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":"bf7444fb749967814047a3166e86ff32b55d9f3658f4102a540d4fe05d9b6933","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-05T19:14:18Z","title_canon_sha256":"a4328e61198d19e7169fb1e81bdd5b2053f3af9f6828878b48dcfecae450a198"},"schema_version":"1.0","source":{"id":"2311.02742","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.02742","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"arxiv_version","alias_value":"2311.02742v6","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.02742","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_12","alias_value":"4SXGG223GL3I","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"4SXGG223GL3I7FS3","created_at":"2026-07-05T11:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"4SXGG223","created_at":"2026-07-05T11:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:f757af926969dc6e3a564a12bf17daa8162f1e255da9f7b469c2111b684ca4e1","target":"graph","created_at":"2026-07-05T11:28:57Z","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/2311.02742/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in two and three dimensions. This model interpolates between short-range Ising (SRI) and mean-field behaviour. We use the Lorentzian inversion formula to compute infinitely many three-loop corrections in the two-dimensional LRI near the mean-field end. We further exploit the exact OPE relations that follow from bulk locality of the LRI to compute infinitely many two-loop corrections near the mean-field end, as well as some one-loop corrections near SRI","authors_text":"Connor Behan, Edoardo Lauria, Maria Nocchi, Philine van Vliet","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-05T19:14:18Z","title":"Analytic and numerical bootstrap for the long-range Ising model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.02742","kind":"arxiv","version":6},"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":"sha256:19312ed022382514fc6c2f95c164393cd52d1eec427e026e1105bc0adebbc08a","target":"record","created_at":"2026-07-05T11:28:57Z","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":"bf7444fb749967814047a3166e86ff32b55d9f3658f4102a540d4fe05d9b6933","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-05T19:14:18Z","title_canon_sha256":"a4328e61198d19e7169fb1e81bdd5b2053f3af9f6828878b48dcfecae450a198"},"schema_version":"1.0","source":{"id":"2311.02742","kind":"arxiv","version":6}},"canonical_sha256":"e4ae636b5b32f68f965b14f072588ac52bd4f643741d2d10d67b200d8341e615","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4ae636b5b32f68f965b14f072588ac52bd4f643741d2d10d67b200d8341e615","first_computed_at":"2026-07-05T11:28:57.326265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:57.326265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36fWkFUBj1/X8vXV7tRTE9ftNHl9TUBheLlfLi0RlkouT35ubSBtAlvv16M4Mdnh0HZ8ov1vXs5w+h8iLZDaAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:57.326793Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.02742","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19312ed022382514fc6c2f95c164393cd52d1eec427e026e1105bc0adebbc08a","sha256:f757af926969dc6e3a564a12bf17daa8162f1e255da9f7b469c2111b684ca4e1"],"state_sha256":"e79aa16a17e6ad776b42253cc97dfcdcbb09450fb8d5cc5af1c29bfa7e01e739"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NB8K043goCJ0chIfxwirFiWljfn2NNQ/h19CjDUX6wO+epZ1zyFXIBduxM7CFRtYBih5txdEQaWIs6/w0CEgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T21:36:14.081479Z","bundle_sha256":"168268f1662bca06afaeec2ba7a91aa3ee467ca426f41d5945cc5282aa92153d"}}