{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ENHM6APU2W7LXH6RY5QHJ2RXZR","short_pith_number":"pith:ENHM6APU","canonical_record":{"source":{"id":"1706.04183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-13T17:55:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6c3024c90d177eb28a04c3e4eb44f494882e0261c8e2b8fab2623e3e9ade02d7","abstract_canon_sha256":"e8cb56ce1518889c87c827b65b881ec01654c9ca627a9fa524f094f07d8d737d"},"schema_version":"1.0"},"canonical_sha256":"234ecf01f4d5bebb9fd1c76074ea37cc6fdf0efa757f3be2a3fb27aa9ac6688e","source":{"kind":"arxiv","id":"1706.04183","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04183","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04183v1","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04183","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"ENHM6APU2W7L","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_16","alias_value":"ENHM6APU2W7LXH6R","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_8","alias_value":"ENHM6APU","created_at":"2026-07-05T00:36:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ENHM6APU2W7LXH6RY5QHJ2RXZR","target":"record","payload":{"canonical_record":{"source":{"id":"1706.04183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-13T17:55:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6c3024c90d177eb28a04c3e4eb44f494882e0261c8e2b8fab2623e3e9ade02d7","abstract_canon_sha256":"e8cb56ce1518889c87c827b65b881ec01654c9ca627a9fa524f094f07d8d737d"},"schema_version":"1.0"},"canonical_sha256":"234ecf01f4d5bebb9fd1c76074ea37cc6fdf0efa757f3be2a3fb27aa9ac6688e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:36:13.609023Z","signature_b64":"N1uhbqX9yHqaB524Gcn/7ejweQ6z1TfZiyB0bs9q+MO1QXuFtAp2ksTIzwKOWpjdgqRKi0a6lGL5FxHlap7uCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"234ecf01f4d5bebb9fd1c76074ea37cc6fdf0efa757f3be2a3fb27aa9ac6688e","last_reissued_at":"2026-07-05T00:36:13.608598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:36:13.608598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.04183","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ne/KAgCOMSm7to828B2kBuDQu0BX5tcigCPv1asSIMoJ+jQQonps6RroTcI0l6Z8/K0+5XY1pG+cS6REqHwSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:32:26.370363Z"},"content_sha256":"1f94278b3fe53e03e8c3e7b4765abbea93f7256a74bae14b269706164b885c3e","schema_version":"1.0","event_id":"sha256:1f94278b3fe53e03e8c3e7b4765abbea93f7256a74bae14b269706164b885c3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ENHM6APU2W7LXH6RY5QHJ2RXZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Adam Levine, Arvin Shahbazi Moghaddam, Chris Akers, Stefan Leichenauer, Venkatesa Chandrasekaran","submitted_at":"2017-06-13T17:55:24Z","abstract_excerpt":"We study the consequences of Entanglement Wedge Nesting for CFTs with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for Entanglement Wedge Nesting to imply the Quantum Null Energy Condition in $d\\leq 5$, extending its earlier holographic proofs. We also show that the Quantum Focusing Conjecture yields the Quantum Null Energy Condition as its nongravitational limit under these same conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04183","kind":"arxiv","version":1},"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/1706.04183/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":"2026-07-05T00:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q9rs7L+N9QLV7w0W3BoKFyOhoQv5Wu4YmhvpdrYxdqTtj3snAjf/m6o1gW9aX7C+U/42Q95GfE9BR+bX9O3pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:32:26.370862Z"},"content_sha256":"f653cc31ff23655dca7a16f1c00db813deced8488c8edd76732bf59670f736d4","schema_version":"1.0","event_id":"sha256:f653cc31ff23655dca7a16f1c00db813deced8488c8edd76732bf59670f736d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/bundle.json","state_url":"https://pith.science/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/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":"2026-08-12T06:32:26Z","links":{"resolver":"https://pith.science/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR","bundle":"https://pith.science/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/bundle.json","state":"https://pith.science/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENHM6APU2W7LXH6RY5QHJ2RXZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ENHM6APU2W7LXH6RY5QHJ2RXZR","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":"e8cb56ce1518889c87c827b65b881ec01654c9ca627a9fa524f094f07d8d737d","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-13T17:55:24Z","title_canon_sha256":"6c3024c90d177eb28a04c3e4eb44f494882e0261c8e2b8fab2623e3e9ade02d7"},"schema_version":"1.0","source":{"id":"1706.04183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04183","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04183v1","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04183","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"ENHM6APU2W7L","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_16","alias_value":"ENHM6APU2W7LXH6R","created_at":"2026-07-05T00:36:13Z"},{"alias_kind":"pith_short_8","alias_value":"ENHM6APU","created_at":"2026-07-05T00:36:13Z"}],"graph_snapshots":[{"event_id":"sha256:f653cc31ff23655dca7a16f1c00db813deced8488c8edd76732bf59670f736d4","target":"graph","created_at":"2026-07-05T00:36:13Z","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/1706.04183/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the consequences of Entanglement Wedge Nesting for CFTs with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for Entanglement Wedge Nesting to imply the Quantum Null Energy Condition in $d\\leq 5$, extending its earlier holographic proofs. We also show that the Quantum Focusing Conjecture yields the Quantum Null Energy Condition as its nongravitational limit under these same conditions.","authors_text":"Adam Levine, Arvin Shahbazi Moghaddam, Chris Akers, Stefan Leichenauer, Venkatesa Chandrasekaran","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-13T17:55:24Z","title":"The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04183","kind":"arxiv","version":1},"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":"sha256:1f94278b3fe53e03e8c3e7b4765abbea93f7256a74bae14b269706164b885c3e","target":"record","created_at":"2026-07-05T00:36:13Z","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":"e8cb56ce1518889c87c827b65b881ec01654c9ca627a9fa524f094f07d8d737d","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-13T17:55:24Z","title_canon_sha256":"6c3024c90d177eb28a04c3e4eb44f494882e0261c8e2b8fab2623e3e9ade02d7"},"schema_version":"1.0","source":{"id":"1706.04183","kind":"arxiv","version":1}},"canonical_sha256":"234ecf01f4d5bebb9fd1c76074ea37cc6fdf0efa757f3be2a3fb27aa9ac6688e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"234ecf01f4d5bebb9fd1c76074ea37cc6fdf0efa757f3be2a3fb27aa9ac6688e","first_computed_at":"2026-07-05T00:36:13.608598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:36:13.608598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N1uhbqX9yHqaB524Gcn/7ejweQ6z1TfZiyB0bs9q+MO1QXuFtAp2ksTIzwKOWpjdgqRKi0a6lGL5FxHlap7uCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:36:13.609023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f94278b3fe53e03e8c3e7b4765abbea93f7256a74bae14b269706164b885c3e","sha256:f653cc31ff23655dca7a16f1c00db813deced8488c8edd76732bf59670f736d4"],"state_sha256":"96021a3f6916a8737ba6373074214bdcdcbc370a526bad48291823aa1e53b6b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OCzu0LcOQhIJxXZ2CVkTWaq+rRTp8WvQ8D/i/5TakH9Ltfyfuvh4V6u0zowUxFfDF6tvkVUW9RxPtj3e2eYmCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T06:32:26.375586Z","bundle_sha256":"e3d7a935a77ed5278f20078094b3e8184ae27fb356ba3773d4ed37c6997cb41c"}}