{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EPYOWJOBOYK42AD5CJUJHEBNKL","short_pith_number":"pith:EPYOWJOB","canonical_record":{"source":{"id":"1212.4764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T17:57:10Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"4be7672047881ff4f5a733eec88094e69c849d20508b0189585f37279d2768fe","abstract_canon_sha256":"7300eb91f60d79e40db7eb29515445c2bb54d121a15c97daaeac7c09df4c2141"},"schema_version":"1.0"},"canonical_sha256":"23f0eb25c17615cd007d126893902d52e70435a1f3272caf144edbfa9ee9054b","source":{"kind":"arxiv","id":"1212.4764","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4764","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4764v2","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4764","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"EPYOWJOBOYK4","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EPYOWJOBOYK42AD5","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EPYOWJOB","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EPYOWJOBOYK42AD5CJUJHEBNKL","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4764","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T17:57:10Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"4be7672047881ff4f5a733eec88094e69c849d20508b0189585f37279d2768fe","abstract_canon_sha256":"7300eb91f60d79e40db7eb29515445c2bb54d121a15c97daaeac7c09df4c2141"},"schema_version":"1.0"},"canonical_sha256":"23f0eb25c17615cd007d126893902d52e70435a1f3272caf144edbfa9ee9054b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:04.619477Z","signature_b64":"DaJEa/YWCCH34pBGh0xaLrU+rRAH4HRWClX+576NgcNxVqaP9VdzdmPh6TtligI27jrD/l+bDBkqZDpi1NNjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23f0eb25c17615cd007d126893902d52e70435a1f3272caf144edbfa9ee9054b","last_reissued_at":"2026-05-18T03:19:04.618616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:04.618616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4764","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":"2026-05-18T03:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RovTUVf5P4ve/Po8SBmydfPFJ8kaA/ijJ2QsFB+OTHK0wJ3HvY1rNxtswpMdHW3UaE7rnGpKciG+1rtvd0wfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:48:25.594898Z"},"content_sha256":"933ec3e610d309473499b8625b8d5683438e9ad34b9694b9b58ef81e06513984","schema_version":"1.0","event_id":"sha256:933ec3e610d309473499b8625b8d5683438e9ad34b9694b9b58ef81e06513984"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EPYOWJOBOYK42AD5CJUJHEBNKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holographic Mutual Information at Finite Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Arnab Kundu, Sandipan Kundu, Willy Fischler","submitted_at":"2012-12-19T17:57:10Z","abstract_excerpt":"Using the Ryu-Takayanagi conjectured formula for entanglement entropy in the context of gauge-gravity duality, we investigate properties of mutual information between two disjoint rectangular sub-systems in finite temperature relativistic conformal field theories in d-spacetime dimensions and non-relativistic scale-invariant theories in some generic examples. In all these cases mutual information undergoes a transition beyond which it is identically zero. We study this transition in detail and find universal qualitative features for the above class of theories which has holographic dual descri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4764","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":""},"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":"2026-05-18T03:19:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fo+q7zz9cF3H3vg9pevt/XyKdqBItUkh8dFKW14FiFTMUaqJ2Nj3JoiSQv1LGuh9fzv61ApyZgDkEbMdVlBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:48:25.595527Z"},"content_sha256":"0b4fe0b8252b63215c09d4b1c3bc76da86ac7cdfd73d32fee1ca5dbdb0d146a3","schema_version":"1.0","event_id":"sha256:0b4fe0b8252b63215c09d4b1c3bc76da86ac7cdfd73d32fee1ca5dbdb0d146a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/bundle.json","state_url":"https://pith.science/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/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":"2026-06-08T16:48:25Z","links":{"resolver":"https://pith.science/pith/EPYOWJOBOYK42AD5CJUJHEBNKL","bundle":"https://pith.science/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/bundle.json","state":"https://pith.science/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPYOWJOBOYK42AD5CJUJHEBNKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EPYOWJOBOYK42AD5CJUJHEBNKL","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":"7300eb91f60d79e40db7eb29515445c2bb54d121a15c97daaeac7c09df4c2141","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T17:57:10Z","title_canon_sha256":"4be7672047881ff4f5a733eec88094e69c849d20508b0189585f37279d2768fe"},"schema_version":"1.0","source":{"id":"1212.4764","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4764","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4764v2","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4764","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"EPYOWJOBOYK4","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EPYOWJOBOYK42AD5","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EPYOWJOB","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:0b4fe0b8252b63215c09d4b1c3bc76da86ac7cdfd73d32fee1ca5dbdb0d146a3","target":"graph","created_at":"2026-05-18T03:19:04Z","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"},"paper":{"abstract_excerpt":"Using the Ryu-Takayanagi conjectured formula for entanglement entropy in the context of gauge-gravity duality, we investigate properties of mutual information between two disjoint rectangular sub-systems in finite temperature relativistic conformal field theories in d-spacetime dimensions and non-relativistic scale-invariant theories in some generic examples. In all these cases mutual information undergoes a transition beyond which it is identically zero. We study this transition in detail and find universal qualitative features for the above class of theories which has holographic dual descri","authors_text":"Arnab Kundu, Sandipan Kundu, Willy Fischler","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T17:57:10Z","title":"Holographic Mutual Information at Finite Temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4764","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":"sha256:933ec3e610d309473499b8625b8d5683438e9ad34b9694b9b58ef81e06513984","target":"record","created_at":"2026-05-18T03:19:04Z","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":"7300eb91f60d79e40db7eb29515445c2bb54d121a15c97daaeac7c09df4c2141","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T17:57:10Z","title_canon_sha256":"4be7672047881ff4f5a733eec88094e69c849d20508b0189585f37279d2768fe"},"schema_version":"1.0","source":{"id":"1212.4764","kind":"arxiv","version":2}},"canonical_sha256":"23f0eb25c17615cd007d126893902d52e70435a1f3272caf144edbfa9ee9054b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23f0eb25c17615cd007d126893902d52e70435a1f3272caf144edbfa9ee9054b","first_computed_at":"2026-05-18T03:19:04.618616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:04.618616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DaJEa/YWCCH34pBGh0xaLrU+rRAH4HRWClX+576NgcNxVqaP9VdzdmPh6TtligI27jrD/l+bDBkqZDpi1NNjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:04.619477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4764","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:933ec3e610d309473499b8625b8d5683438e9ad34b9694b9b58ef81e06513984","sha256:0b4fe0b8252b63215c09d4b1c3bc76da86ac7cdfd73d32fee1ca5dbdb0d146a3"],"state_sha256":"38a32bf2351c4cee7b331868ee5c2578a9ea760e6eacc1699b37de31b9336acd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wwAqGfnOOgI0vZQSkrpIA7tgE7ebele8XQ10uvpQqBTtaNxndaZpboVFSdFUOm3bUzqbPJQrFK7sj7pN2/tCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:48:25.598844Z","bundle_sha256":"26431dcee5d7f48a09eaf627ab5370ad26193493a8a51df697863166063350a5"}}