{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:K7KKCICBH2FAVEW2BPJ7BLVQZH","short_pith_number":"pith:K7KKCICB","canonical_record":{"source":{"id":"1407.8171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-30T19:45:53Z","cross_cats_sorted":[],"title_canon_sha256":"b29260e7936d951664dcf04b3e20472b439d0959c746b29b00ef4d747d0c9d4b","abstract_canon_sha256":"29b4a9b6d4036d8c8886086fed86e5f5ac96fc7a7be1c97795b4ba11d8b90aec"},"schema_version":"1.0"},"canonical_sha256":"57d4a120413e8a0a92da0bd3f0aeb0c9df2fa8e83b3add07fc2411218a891c5b","source":{"kind":"arxiv","id":"1407.8171","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8171","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8171v2","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8171","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"pith_short_12","alias_value":"K7KKCICBH2FA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"K7KKCICBH2FAVEW2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"K7KKCICB","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:K7KKCICBH2FAVEW2BPJ7BLVQZH","target":"record","payload":{"canonical_record":{"source":{"id":"1407.8171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-30T19:45:53Z","cross_cats_sorted":[],"title_canon_sha256":"b29260e7936d951664dcf04b3e20472b439d0959c746b29b00ef4d747d0c9d4b","abstract_canon_sha256":"29b4a9b6d4036d8c8886086fed86e5f5ac96fc7a7be1c97795b4ba11d8b90aec"},"schema_version":"1.0"},"canonical_sha256":"57d4a120413e8a0a92da0bd3f0aeb0c9df2fa8e83b3add07fc2411218a891c5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:27.190801Z","signature_b64":"nYI8WPMz05WSiTx6FIBub/NuwS5wUFriCjv0z8Ojxfm5/nXVCEzZ2w5ZoHuBGNPI9GG5kkE3t3jTRsi9mEIfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57d4a120413e8a0a92da0bd3f0aeb0c9df2fa8e83b3add07fc2411218a891c5b","last_reissued_at":"2026-05-18T01:42:27.190262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:27.190262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.8171","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":"2026-05-18T01:42:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOu151TM53YAq7WNN2T5Qm3CbukPYChIHbb3oF5m5/m4aww4zp15pXqYbno4TGE5wnQmbLMs+NlZXLdgKk3XAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T17:12:37.023356Z"},"content_sha256":"9a1160a244732e6e749198d84df3ea3fb621652ed10d03d4ca852bb11279fee6","schema_version":"1.0","event_id":"sha256:9a1160a244732e6e749198d84df3ea3fb621652ed10d03d4ca852bb11279fee6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:K7KKCICBH2FAVEW2BPJ7BLVQZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality in the geometric dependence of Renyi entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aitor Lewkowycz, Eric Perlmutter","submitted_at":"2014-07-30T19:45:53Z","abstract_excerpt":"We derive several new results for Renyi entropy, $S_n$, across generic entangling surfaces. We establish a perturbative expansion of the Renyi entropy, valid in generic quantum field theories, in deformations of a given density matrix. When applied to even-dimensional conformal field theories, these results lead to new constraints on the $n$-dependence, independent of any perturbative expansion. In 4d CFTs, we show that the $n$-dependence of the universal part of the ground state Renyi entropy for entangling surfaces with vanishing extrinsic curvature contribution is in fact fully determined b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8171","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":"2026-05-18T01:42:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tJ5GcWtcbFqRFDng6TgpdNmw3ng31aeudsyjlMGuT6CmB/XreKKEZ+e/kCOuyl3TTgoSd25TDn6arOOe7cqkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T17:12:37.023710Z"},"content_sha256":"cc5e66523f617efcae866ebdd49b66cbd42b6bb8934c2728bde8918fed130d2e","schema_version":"1.0","event_id":"sha256:cc5e66523f617efcae866ebdd49b66cbd42b6bb8934c2728bde8918fed130d2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/bundle.json","state_url":"https://pith.science/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/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":"2026-05-23T17:12:37Z","links":{"resolver":"https://pith.science/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH","bundle":"https://pith.science/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/bundle.json","state":"https://pith.science/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7KKCICBH2FAVEW2BPJ7BLVQZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:K7KKCICBH2FAVEW2BPJ7BLVQZH","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":"29b4a9b6d4036d8c8886086fed86e5f5ac96fc7a7be1c97795b4ba11d8b90aec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-30T19:45:53Z","title_canon_sha256":"b29260e7936d951664dcf04b3e20472b439d0959c746b29b00ef4d747d0c9d4b"},"schema_version":"1.0","source":{"id":"1407.8171","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8171","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8171v2","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8171","created_at":"2026-05-18T01:42:27Z"},{"alias_kind":"pith_short_12","alias_value":"K7KKCICBH2FA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"K7KKCICBH2FAVEW2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"K7KKCICB","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:cc5e66523f617efcae866ebdd49b66cbd42b6bb8934c2728bde8918fed130d2e","target":"graph","created_at":"2026-05-18T01:42:27Z","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"},"paper":{"abstract_excerpt":"We derive several new results for Renyi entropy, $S_n$, across generic entangling surfaces. We establish a perturbative expansion of the Renyi entropy, valid in generic quantum field theories, in deformations of a given density matrix. When applied to even-dimensional conformal field theories, these results lead to new constraints on the $n$-dependence, independent of any perturbative expansion. In 4d CFTs, we show that the $n$-dependence of the universal part of the ground state Renyi entropy for entangling surfaces with vanishing extrinsic curvature contribution is in fact fully determined b","authors_text":"Aitor Lewkowycz, Eric Perlmutter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-30T19:45:53Z","title":"Universality in the geometric dependence of Renyi entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8171","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":"sha256:9a1160a244732e6e749198d84df3ea3fb621652ed10d03d4ca852bb11279fee6","target":"record","created_at":"2026-05-18T01:42:27Z","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":"29b4a9b6d4036d8c8886086fed86e5f5ac96fc7a7be1c97795b4ba11d8b90aec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-30T19:45:53Z","title_canon_sha256":"b29260e7936d951664dcf04b3e20472b439d0959c746b29b00ef4d747d0c9d4b"},"schema_version":"1.0","source":{"id":"1407.8171","kind":"arxiv","version":2}},"canonical_sha256":"57d4a120413e8a0a92da0bd3f0aeb0c9df2fa8e83b3add07fc2411218a891c5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57d4a120413e8a0a92da0bd3f0aeb0c9df2fa8e83b3add07fc2411218a891c5b","first_computed_at":"2026-05-18T01:42:27.190262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:27.190262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nYI8WPMz05WSiTx6FIBub/NuwS5wUFriCjv0z8Ojxfm5/nXVCEzZ2w5ZoHuBGNPI9GG5kkE3t3jTRsi9mEIfBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:27.190801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.8171","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a1160a244732e6e749198d84df3ea3fb621652ed10d03d4ca852bb11279fee6","sha256:cc5e66523f617efcae866ebdd49b66cbd42b6bb8934c2728bde8918fed130d2e"],"state_sha256":"c8fcfc429137863b996046ef568daa596d876c5c3f5538b09da045182c90cf76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ol5kjr1SOd1Kg6uqY2UZxibcMr2gtQioQD0NdoxFXd8HZ8UX9lFq6vMZk3gD7i/vp6s+U+XMiUbaRBIvfbncDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T17:12:37.025914Z","bundle_sha256":"8bd0d61cd598ea88805acef2178679b70cd6b584831ff31f51940606fddfe338"}}