{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GGXF2472XXKSU3AYIDMQGMT33D","short_pith_number":"pith:GGXF2472","canonical_record":{"source":{"id":"1906.03894","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-10T10:50:50Z","cross_cats_sorted":[],"title_canon_sha256":"cf4d631035a64fb9ec77892bc4b08319d765b9c1c14b05c64f8a96dc26b21548","abstract_canon_sha256":"8bce19935a01aa889348052e5cf9cc878473b9aa1eebcd370f0b0b11c46df411"},"schema_version":"1.0"},"canonical_sha256":"31ae5d73fabdd52a6c1840d903327bd8e5c4d2d0db4d9fbf160a8aef395dd858","source":{"kind":"arxiv","id":"1906.03894","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.03894","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"1906.03894v3","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.03894","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"GGXF2472XXKS","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_16","alias_value":"GGXF2472XXKSU3AY","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_8","alias_value":"GGXF2472","created_at":"2026-07-05T00:37:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GGXF2472XXKSU3AYIDMQGMT33D","target":"record","payload":{"canonical_record":{"source":{"id":"1906.03894","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-10T10:50:50Z","cross_cats_sorted":[],"title_canon_sha256":"cf4d631035a64fb9ec77892bc4b08319d765b9c1c14b05c64f8a96dc26b21548","abstract_canon_sha256":"8bce19935a01aa889348052e5cf9cc878473b9aa1eebcd370f0b0b11c46df411"},"schema_version":"1.0"},"canonical_sha256":"31ae5d73fabdd52a6c1840d903327bd8e5c4d2d0db4d9fbf160a8aef395dd858","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:37:27.640910Z","signature_b64":"g5z9FmlZacgXwmyZ86lrMMQvT8zUadLUOXiuI568zYunRFWuDoN0yMOI/fJYNjN7p/g1gy4aeA87KXei7Tl9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31ae5d73fabdd52a6c1840d903327bd8e5c4d2d0db4d9fbf160a8aef395dd858","last_reissued_at":"2026-07-05T00:37:27.640420Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:37:27.640420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.03894","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gVuQvPaTIGCypCGmkrZ6W3KD78XnXPqmrYnUX29Exw4DUiYEder6oEgpDfb3zy0E+UDtOfdHWMgLkbIp+VHeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:40:38.549112Z"},"content_sha256":"d03679f6baa799f0591284a13e0dd01d9a1919a60c007dc57460ff3104c01f5f","schema_version":"1.0","event_id":"sha256:d03679f6baa799f0591284a13e0dd01d9a1919a60c007dc57460ff3104c01f5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GGXF2472XXKSU3AYIDMQGMT33D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement and R\\'{e}nyi Entropy of Multiple Intervals in $T\\overline{T}$-Deformed CFT and Holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hyun-Sik Jeong, Keun-Young Kim, Mitsuhiro Nishida","submitted_at":"2019-06-10T10:50:50Z","abstract_excerpt":"We study the entanglement entropy (EE) and the R\\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by the replica method with the twist operators, we construct the general formula of the RE and EE up to the first order of a deformation parameter. By using our general formula, we show that the EE of multiple intervals for a holographic CFT is just a summation of the single interval case even with the small deformation. This is a non-trivial consequence from "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03894","kind":"arxiv","version":3},"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/1906.03894/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":"2026-07-05T00:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rQVTXe77zQLVHp5dWSmPQxTb4NYfEdXZppDMT3uURfWEDc41kLOGVBSP8RKVZLArzXk7+1UAYhNxTvLyzVZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:40:38.549680Z"},"content_sha256":"88a3bc9a969d63d2d6c0bf97d48218cf02680b1980afad3fbaadc0873be73d39","schema_version":"1.0","event_id":"sha256:88a3bc9a969d63d2d6c0bf97d48218cf02680b1980afad3fbaadc0873be73d39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGXF2472XXKSU3AYIDMQGMT33D/bundle.json","state_url":"https://pith.science/pith/GGXF2472XXKSU3AYIDMQGMT33D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGXF2472XXKSU3AYIDMQGMT33D/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":"2026-08-11T21:40:38Z","links":{"resolver":"https://pith.science/pith/GGXF2472XXKSU3AYIDMQGMT33D","bundle":"https://pith.science/pith/GGXF2472XXKSU3AYIDMQGMT33D/bundle.json","state":"https://pith.science/pith/GGXF2472XXKSU3AYIDMQGMT33D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGXF2472XXKSU3AYIDMQGMT33D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GGXF2472XXKSU3AYIDMQGMT33D","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":"8bce19935a01aa889348052e5cf9cc878473b9aa1eebcd370f0b0b11c46df411","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-10T10:50:50Z","title_canon_sha256":"cf4d631035a64fb9ec77892bc4b08319d765b9c1c14b05c64f8a96dc26b21548"},"schema_version":"1.0","source":{"id":"1906.03894","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.03894","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"1906.03894v3","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.03894","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"GGXF2472XXKS","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_16","alias_value":"GGXF2472XXKSU3AY","created_at":"2026-07-05T00:37:27Z"},{"alias_kind":"pith_short_8","alias_value":"GGXF2472","created_at":"2026-07-05T00:37:27Z"}],"graph_snapshots":[{"event_id":"sha256:88a3bc9a969d63d2d6c0bf97d48218cf02680b1980afad3fbaadc0873be73d39","target":"graph","created_at":"2026-07-05T00:37:27Z","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/1906.03894/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the entanglement entropy (EE) and the R\\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by the replica method with the twist operators, we construct the general formula of the RE and EE up to the first order of a deformation parameter. By using our general formula, we show that the EE of multiple intervals for a holographic CFT is just a summation of the single interval case even with the small deformation. This is a non-trivial consequence from ","authors_text":"Hyun-Sik Jeong, Keun-Young Kim, Mitsuhiro Nishida","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-10T10:50:50Z","title":"Entanglement and R\\'{e}nyi Entropy of Multiple Intervals in $T\\overline{T}$-Deformed CFT and Holography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03894","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:d03679f6baa799f0591284a13e0dd01d9a1919a60c007dc57460ff3104c01f5f","target":"record","created_at":"2026-07-05T00:37:27Z","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":"8bce19935a01aa889348052e5cf9cc878473b9aa1eebcd370f0b0b11c46df411","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-10T10:50:50Z","title_canon_sha256":"cf4d631035a64fb9ec77892bc4b08319d765b9c1c14b05c64f8a96dc26b21548"},"schema_version":"1.0","source":{"id":"1906.03894","kind":"arxiv","version":3}},"canonical_sha256":"31ae5d73fabdd52a6c1840d903327bd8e5c4d2d0db4d9fbf160a8aef395dd858","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31ae5d73fabdd52a6c1840d903327bd8e5c4d2d0db4d9fbf160a8aef395dd858","first_computed_at":"2026-07-05T00:37:27.640420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:37:27.640420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g5z9FmlZacgXwmyZ86lrMMQvT8zUadLUOXiuI568zYunRFWuDoN0yMOI/fJYNjN7p/g1gy4aeA87KXei7Tl9BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:37:27.640910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.03894","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d03679f6baa799f0591284a13e0dd01d9a1919a60c007dc57460ff3104c01f5f","sha256:88a3bc9a969d63d2d6c0bf97d48218cf02680b1980afad3fbaadc0873be73d39"],"state_sha256":"3a1ace3c812b7b0fd8f0ec1b1251618f88a7873edd8b07167cdea3c6edb9a51d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YJ/fPqAEYxIdF5/6LcBu2OU/WMvLkMPH4f2PfhAkLRXRE2e/2oBXSZPbo2bfVkASqBRfOi1UKgf8eprpsWLPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:40:38.556649Z","bundle_sha256":"19c4abe23679822dc350f9e0dfe4e86102fc7c358dc335a41c19deaa1f6a1b97"}}