{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HZTVR3HMFXGTGCSIZZSBWD32NX","short_pith_number":"pith:HZTVR3HM","canonical_record":{"source":{"id":"1203.4007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-18T23:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"88692019152f1760ebc8c98d83b41c81ebe12e27299edf609778fc023a325092","abstract_canon_sha256":"891f3f9335780c11e064842eee9057bec20af223f27a69efdae765d83380c9fc"},"schema_version":"1.0"},"canonical_sha256":"3e6758ecec2dcd330a48ce641b0f7a6dc8de2584bac22806cb49d70053cf1c6b","source":{"kind":"arxiv","id":"1203.4007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4007","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4007v2","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4007","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"pith_short_12","alias_value":"HZTVR3HMFXGT","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HZTVR3HMFXGTGCSI","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HZTVR3HM","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HZTVR3HMFXGTGCSIZZSBWD32NX","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-18T23:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"88692019152f1760ebc8c98d83b41c81ebe12e27299edf609778fc023a325092","abstract_canon_sha256":"891f3f9335780c11e064842eee9057bec20af223f27a69efdae765d83380c9fc"},"schema_version":"1.0"},"canonical_sha256":"3e6758ecec2dcd330a48ce641b0f7a6dc8de2584bac22806cb49d70053cf1c6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:06.284012Z","signature_b64":"t0MJMcVnIePFHojb9yl2oIfdNM6A1ouRmkb4xMxWv4PvrOLp0OhHd+40ywX9ztWuqQjrl2yAop/jVxztvvgaAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e6758ecec2dcd330a48ce641b0f7a6dc8de2584bac22806cb49d70053cf1c6b","last_reissued_at":"2026-05-18T01:58:06.283596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:06.283596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4007","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":"2026-05-18T01:58:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Db81qJhnNcJFajc3g3MLDkh2b3MReiXmCph5abETyVRwxmyB3mpNXrvkh2y0I66EZdZYDYsqWjzn1PaFqmSYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:19:53.210731Z"},"content_sha256":"5f1887a899ff0cf87275f6700b09d698fe42797e8d9c863db0b9f891b0aad0cc","schema_version":"1.0","event_id":"sha256:5f1887a899ff0cf87275f6700b09d698fe42797e8d9c863db0b9f891b0aad0cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HZTVR3HMFXGTGCSIZZSBWD32NX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Positivity, entanglement entropy, and minimal surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Horacio Casini, Marina Huerta","submitted_at":"2012-03-18T23:22:53Z","abstract_excerpt":"The path integral representation for the Renyi entanglement entropies of integer index n implies these information measures define operator correlation functions in QFT. We analyze whether the limit $n\\rightarrow 1$, corresponding to the entanglement entropy, can also be represented in terms of a path integral with insertions on the region's boundary, at first order in $n-1$. This conjecture has been used in the literature in several occasions, and specially in an attempt to prove the Ryu-Takayanagi holographic entanglement entropy formula. We show it leads to conditional positivity of the ent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4007","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":"2026-05-18T01:58:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3/vFXEHXprP8YUOHlR1BDeal21GBrDi1lKxnYC7Et84htvqAbza8IbwndE6l24nWsWEE7U1KAJ5PrP/0UrnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:19:53.211080Z"},"content_sha256":"3948044610f95618c1f84b7fa93efbc316baab9996b6425bcaad18cf49946010","schema_version":"1.0","event_id":"sha256:3948044610f95618c1f84b7fa93efbc316baab9996b6425bcaad18cf49946010"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/bundle.json","state_url":"https://pith.science/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/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":"2026-06-03T19:19:53Z","links":{"resolver":"https://pith.science/pith/HZTVR3HMFXGTGCSIZZSBWD32NX","bundle":"https://pith.science/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/bundle.json","state":"https://pith.science/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZTVR3HMFXGTGCSIZZSBWD32NX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HZTVR3HMFXGTGCSIZZSBWD32NX","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":"891f3f9335780c11e064842eee9057bec20af223f27a69efdae765d83380c9fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-18T23:22:53Z","title_canon_sha256":"88692019152f1760ebc8c98d83b41c81ebe12e27299edf609778fc023a325092"},"schema_version":"1.0","source":{"id":"1203.4007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4007","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4007v2","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4007","created_at":"2026-05-18T01:58:06Z"},{"alias_kind":"pith_short_12","alias_value":"HZTVR3HMFXGT","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HZTVR3HMFXGTGCSI","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HZTVR3HM","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:3948044610f95618c1f84b7fa93efbc316baab9996b6425bcaad18cf49946010","target":"graph","created_at":"2026-05-18T01:58:06Z","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":"The path integral representation for the Renyi entanglement entropies of integer index n implies these information measures define operator correlation functions in QFT. We analyze whether the limit $n\\rightarrow 1$, corresponding to the entanglement entropy, can also be represented in terms of a path integral with insertions on the region's boundary, at first order in $n-1$. This conjecture has been used in the literature in several occasions, and specially in an attempt to prove the Ryu-Takayanagi holographic entanglement entropy formula. We show it leads to conditional positivity of the ent","authors_text":"Horacio Casini, Marina Huerta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-18T23:22:53Z","title":"Positivity, entanglement entropy, and minimal surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4007","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":"sha256:5f1887a899ff0cf87275f6700b09d698fe42797e8d9c863db0b9f891b0aad0cc","target":"record","created_at":"2026-05-18T01:58:06Z","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":"891f3f9335780c11e064842eee9057bec20af223f27a69efdae765d83380c9fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-18T23:22:53Z","title_canon_sha256":"88692019152f1760ebc8c98d83b41c81ebe12e27299edf609778fc023a325092"},"schema_version":"1.0","source":{"id":"1203.4007","kind":"arxiv","version":2}},"canonical_sha256":"3e6758ecec2dcd330a48ce641b0f7a6dc8de2584bac22806cb49d70053cf1c6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e6758ecec2dcd330a48ce641b0f7a6dc8de2584bac22806cb49d70053cf1c6b","first_computed_at":"2026-05-18T01:58:06.283596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:06.283596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t0MJMcVnIePFHojb9yl2oIfdNM6A1ouRmkb4xMxWv4PvrOLp0OhHd+40ywX9ztWuqQjrl2yAop/jVxztvvgaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:06.284012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f1887a899ff0cf87275f6700b09d698fe42797e8d9c863db0b9f891b0aad0cc","sha256:3948044610f95618c1f84b7fa93efbc316baab9996b6425bcaad18cf49946010"],"state_sha256":"ff93595c3534fb7ce978aeaa4051f5a45ec7b0df4ea749401573e62096879286"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSwOXZYzg6tzuN/pmJI6jolUEUEDC+zmKfsZgMBCNY4aqIIX2G7o8I92XGne5w9goYnkJaEhBtKL6YpjLeQCBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:19:53.213149Z","bundle_sha256":"f79669a460285e5de6f2c0387110481bbe6d9c9c0d4bac826d88040a549eb1d1"}}