{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FATULB47XD5CIHLG2IIFA6DOGM","short_pith_number":"pith:FATULB47","canonical_record":{"source":{"id":"2211.01392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-02T18:00:03Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"5f8dfcb401b04020911c59ae485f2237893c3f74d800983f42a24eca519d3685","abstract_canon_sha256":"4d70c423ee33abb245cdd16994bc5021876ad8652b43faecacca83f210d82bce"},"schema_version":"1.0"},"canonical_sha256":"282745879fb8fa241d66d21050786e33216790b6daa68afd15a32ad734a6b342","source":{"kind":"arxiv","id":"2211.01392","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.01392","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"arxiv_version","alias_value":"2211.01392v2","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01392","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_12","alias_value":"FATULB47XD5C","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_16","alias_value":"FATULB47XD5CIHLG","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_8","alias_value":"FATULB47","created_at":"2026-07-05T05:32:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FATULB47XD5CIHLG2IIFA6DOGM","target":"record","payload":{"canonical_record":{"source":{"id":"2211.01392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-02T18:00:03Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"5f8dfcb401b04020911c59ae485f2237893c3f74d800983f42a24eca519d3685","abstract_canon_sha256":"4d70c423ee33abb245cdd16994bc5021876ad8652b43faecacca83f210d82bce"},"schema_version":"1.0"},"canonical_sha256":"282745879fb8fa241d66d21050786e33216790b6daa68afd15a32ad734a6b342","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:32:49.042502Z","signature_b64":"AvO0LpxpAldiC+KDhqFCbpQSZWaSMNEZduKoQD5d6hPuIMOauPBxOOJdbR7Kqb7GjqrcPEQp0udyuCdnIvPuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"282745879fb8fa241d66d21050786e33216790b6daa68afd15a32ad734a6b342","last_reissued_at":"2026-07-05T05:32:49.042028Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:32:49.042028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.01392","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:32:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tPIXgoJaB6jbyRPCgWC274LiDjX+wOo6Lf93Ltqsg4hsxxzyf5YXHF2ZqB34rspbw+xCq7KZm3F9naPUYo1LAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:52:53.065827Z"},"content_sha256":"befc9dd5adcee01ec8f5222744b5be7eb9e4e59e0feb6a5306c788350bee6b32","schema_version":"1.0","event_id":"sha256:befc9dd5adcee01ec8f5222744b5be7eb9e4e59e0feb6a5306c788350bee6b32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FATULB47XD5CIHLG2IIFA6DOGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"R\\'enyi Mutual Information in Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Jonah Kudler-Flam","submitted_at":"2022-11-02T18:00:03Z","abstract_excerpt":"We study a proper definition of R\\'enyi mutual information (RMI) in quantum field theory as defined via the Petz R\\'enyi relative entropy. Unlike the standard definition, the RMI we compute is a genuine measure of correlations between subsystems, as evidenced by its non-negativity and monotonicity under local operations. Furthermore, the RMI is UV finite and well-defined in the continuum limit. We develop a replica path integral approach for the RMI in quantum field theories and evaluate it explicitly in 1+1D conformal field theory using twist fields. We prove that it bounds connected correlat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01392","kind":"arxiv","version":2},"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/2211.01392/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":"2026-07-05T05:32:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sfSsFgEfbkWL9/gPfxGt6Bo2+b1Yj5IGA7yAVrMRqUjmqlKo3VOSpGsm3FBu4M4pYFDlZDiMI+iBtZ4j1UEHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:52:53.066341Z"},"content_sha256":"dbcf304f1cb4049672eb759e7c9f2f10d224f5cfe949499969e26989cfc53321","schema_version":"1.0","event_id":"sha256:dbcf304f1cb4049672eb759e7c9f2f10d224f5cfe949499969e26989cfc53321"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FATULB47XD5CIHLG2IIFA6DOGM/bundle.json","state_url":"https://pith.science/pith/FATULB47XD5CIHLG2IIFA6DOGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FATULB47XD5CIHLG2IIFA6DOGM/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":"2026-08-09T00:52:53Z","links":{"resolver":"https://pith.science/pith/FATULB47XD5CIHLG2IIFA6DOGM","bundle":"https://pith.science/pith/FATULB47XD5CIHLG2IIFA6DOGM/bundle.json","state":"https://pith.science/pith/FATULB47XD5CIHLG2IIFA6DOGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FATULB47XD5CIHLG2IIFA6DOGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FATULB47XD5CIHLG2IIFA6DOGM","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":"4d70c423ee33abb245cdd16994bc5021876ad8652b43faecacca83f210d82bce","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-02T18:00:03Z","title_canon_sha256":"5f8dfcb401b04020911c59ae485f2237893c3f74d800983f42a24eca519d3685"},"schema_version":"1.0","source":{"id":"2211.01392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.01392","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"arxiv_version","alias_value":"2211.01392v2","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01392","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_12","alias_value":"FATULB47XD5C","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_16","alias_value":"FATULB47XD5CIHLG","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_8","alias_value":"FATULB47","created_at":"2026-07-05T05:32:49Z"}],"graph_snapshots":[{"event_id":"sha256:dbcf304f1cb4049672eb759e7c9f2f10d224f5cfe949499969e26989cfc53321","target":"graph","created_at":"2026-07-05T05:32:49Z","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/2211.01392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a proper definition of R\\'enyi mutual information (RMI) in quantum field theory as defined via the Petz R\\'enyi relative entropy. Unlike the standard definition, the RMI we compute is a genuine measure of correlations between subsystems, as evidenced by its non-negativity and monotonicity under local operations. Furthermore, the RMI is UV finite and well-defined in the continuum limit. We develop a replica path integral approach for the RMI in quantum field theories and evaluate it explicitly in 1+1D conformal field theory using twist fields. We prove that it bounds connected correlat","authors_text":"Jonah Kudler-Flam","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-02T18:00:03Z","title":"R\\'enyi Mutual Information in Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01392","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:befc9dd5adcee01ec8f5222744b5be7eb9e4e59e0feb6a5306c788350bee6b32","target":"record","created_at":"2026-07-05T05:32:49Z","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":"4d70c423ee33abb245cdd16994bc5021876ad8652b43faecacca83f210d82bce","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-02T18:00:03Z","title_canon_sha256":"5f8dfcb401b04020911c59ae485f2237893c3f74d800983f42a24eca519d3685"},"schema_version":"1.0","source":{"id":"2211.01392","kind":"arxiv","version":2}},"canonical_sha256":"282745879fb8fa241d66d21050786e33216790b6daa68afd15a32ad734a6b342","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"282745879fb8fa241d66d21050786e33216790b6daa68afd15a32ad734a6b342","first_computed_at":"2026-07-05T05:32:49.042028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:32:49.042028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AvO0LpxpAldiC+KDhqFCbpQSZWaSMNEZduKoQD5d6hPuIMOauPBxOOJdbR7Kqb7GjqrcPEQp0udyuCdnIvPuBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:32:49.042502Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.01392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:befc9dd5adcee01ec8f5222744b5be7eb9e4e59e0feb6a5306c788350bee6b32","sha256:dbcf304f1cb4049672eb759e7c9f2f10d224f5cfe949499969e26989cfc53321"],"state_sha256":"1fe534785bccf7e3b640b37261acbf57406f4e0738b73d570348b25b88f2dfa9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pYTLzuK4CuA+hNUEjio9hFPo5ZrzffphksrwX4EcWqMCnDaPt0t7FRbRAaZDtEtiEhl0Ywox//oSVEULfAvdDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:52:53.071424Z","bundle_sha256":"fc00e67cbab70c80f18b6443da485d4f77da80206ee4ff298f8cb765959a6f49"}}