{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:K32UK4TTF3GHH4NGT4CVQ4M4O5","short_pith_number":"pith:K32UK4TT","canonical_record":{"source":{"id":"2003.00587","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-01T21:03:36Z","cross_cats_sorted":[],"title_canon_sha256":"63ce7be1c633e0b2c26166d089a287e1474dc76e8ce888046eb1c7bbf8a290d8","abstract_canon_sha256":"3d91798d4e859a885b1bd5724e7c2a3b21f12c1a215d4ac09d037f2b8b1dca9c"},"schema_version":"1.0"},"canonical_sha256":"56f54572732ecc73f1a69f0558719c7769ec47f4211113060c099f5ab91ace97","source":{"kind":"arxiv","id":"2003.00587","version":9},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.00587","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"2003.00587v9","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.00587","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"K32UK4TTF3GH","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_16","alias_value":"K32UK4TTF3GHH4NG","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_8","alias_value":"K32UK4TT","created_at":"2026-05-27T01:04:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:K32UK4TTF3GHH4NGT4CVQ4M4O5","target":"record","payload":{"canonical_record":{"source":{"id":"2003.00587","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-01T21:03:36Z","cross_cats_sorted":[],"title_canon_sha256":"63ce7be1c633e0b2c26166d089a287e1474dc76e8ce888046eb1c7bbf8a290d8","abstract_canon_sha256":"3d91798d4e859a885b1bd5724e7c2a3b21f12c1a215d4ac09d037f2b8b1dca9c"},"schema_version":"1.0"},"canonical_sha256":"56f54572732ecc73f1a69f0558719c7769ec47f4211113060c099f5ab91ace97","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:04:45.963544Z","signature_b64":"e/09M0Y+7BVZVRiu74EXLLpyGnAfLlPM/HEbwJeGbv1DS7YvylHbPFoyqMbEFY0Z4Xt/fG+twLiUb3S72FTFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56f54572732ecc73f1a69f0558719c7769ec47f4211113060c099f5ab91ace97","last_reissued_at":"2026-05-27T01:04:45.962650Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:04:45.962650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.00587","source_version":9,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-27T01:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0uV/F1gBf0u+/9/1zQEWBRkTMNWx5CbggCZl/Nk8EwYprc9X7Rv7OoY3qqQPd7WCGLoe9OKEhfrzdTltfFayBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:29:25.957105Z"},"content_sha256":"7bc47ca868f6711751d082252ebc823d6a2ed32d953b5e452bf6daffe7f0c954","schema_version":"1.0","event_id":"sha256:7bc47ca868f6711751d082252ebc823d6a2ed32d953b5e452bf6daffe7f0c954"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:K32UK4TTF3GHH4NGT4CVQ4M4O5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lectures on Bulk Reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nirmalya Kajuri","submitted_at":"2020-03-01T21:03:36Z","abstract_excerpt":"If the AdS/CFT conjecture holds, every question about bulk physics can be answered by the boundary CFT. But we still don't know how to translate all the questions about bulk physics to questions about the boundary CFT. Completing this bulk-boundary dictionary is the aim of the bulk reconstruction program, which we review in these lectures. We cover the HKLL construction, bulk reconstruction in AdS/Rindler, mirror operator construction of Papadodimas and Raju and the Marolf-Wall paradox. These notes are based on lectures given at ST4 2018."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.00587","kind":"arxiv","version":9},"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/2003.00587/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":"2026-05-27T01:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kPUI6iO6k8ZPmSf4JrEQdTcFg7pQpQgxKgkEHnhEjw7+Pxzm+HiaWzyEFLXx6rKT/zhq8z7MoHhU1UBl316Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:29:25.957945Z"},"content_sha256":"33985e1516c138d1a526557cd696320347fb3f9e93b2b9a5fc6e811a3bef12b8","schema_version":"1.0","event_id":"sha256:33985e1516c138d1a526557cd696320347fb3f9e93b2b9a5fc6e811a3bef12b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/bundle.json","state_url":"https://pith.science/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/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":"2026-06-10T08:29:25Z","links":{"resolver":"https://pith.science/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5","bundle":"https://pith.science/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/bundle.json","state":"https://pith.science/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K32UK4TTF3GHH4NGT4CVQ4M4O5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:K32UK4TTF3GHH4NGT4CVQ4M4O5","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":"3d91798d4e859a885b1bd5724e7c2a3b21f12c1a215d4ac09d037f2b8b1dca9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-01T21:03:36Z","title_canon_sha256":"63ce7be1c633e0b2c26166d089a287e1474dc76e8ce888046eb1c7bbf8a290d8"},"schema_version":"1.0","source":{"id":"2003.00587","kind":"arxiv","version":9}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.00587","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"2003.00587v9","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.00587","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"K32UK4TTF3GH","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_16","alias_value":"K32UK4TTF3GHH4NG","created_at":"2026-05-27T01:04:45Z"},{"alias_kind":"pith_short_8","alias_value":"K32UK4TT","created_at":"2026-05-27T01:04:45Z"}],"graph_snapshots":[{"event_id":"sha256:33985e1516c138d1a526557cd696320347fb3f9e93b2b9a5fc6e811a3bef12b8","target":"graph","created_at":"2026-05-27T01:04:45Z","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/2003.00587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If the AdS/CFT conjecture holds, every question about bulk physics can be answered by the boundary CFT. But we still don't know how to translate all the questions about bulk physics to questions about the boundary CFT. Completing this bulk-boundary dictionary is the aim of the bulk reconstruction program, which we review in these lectures. We cover the HKLL construction, bulk reconstruction in AdS/Rindler, mirror operator construction of Papadodimas and Raju and the Marolf-Wall paradox. These notes are based on lectures given at ST4 2018.","authors_text":"Nirmalya Kajuri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-01T21:03:36Z","title":"Lectures on Bulk Reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.00587","kind":"arxiv","version":9},"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":"sha256:7bc47ca868f6711751d082252ebc823d6a2ed32d953b5e452bf6daffe7f0c954","target":"record","created_at":"2026-05-27T01:04:45Z","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":"3d91798d4e859a885b1bd5724e7c2a3b21f12c1a215d4ac09d037f2b8b1dca9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-01T21:03:36Z","title_canon_sha256":"63ce7be1c633e0b2c26166d089a287e1474dc76e8ce888046eb1c7bbf8a290d8"},"schema_version":"1.0","source":{"id":"2003.00587","kind":"arxiv","version":9}},"canonical_sha256":"56f54572732ecc73f1a69f0558719c7769ec47f4211113060c099f5ab91ace97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56f54572732ecc73f1a69f0558719c7769ec47f4211113060c099f5ab91ace97","first_computed_at":"2026-05-27T01:04:45.962650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:04:45.962650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/09M0Y+7BVZVRiu74EXLLpyGnAfLlPM/HEbwJeGbv1DS7YvylHbPFoyqMbEFY0Z4Xt/fG+twLiUb3S72FTFCQ==","signature_status":"signed_v1","signed_at":"2026-05-27T01:04:45.963544Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.00587","source_kind":"arxiv","source_version":9}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bc47ca868f6711751d082252ebc823d6a2ed32d953b5e452bf6daffe7f0c954","sha256:33985e1516c138d1a526557cd696320347fb3f9e93b2b9a5fc6e811a3bef12b8"],"state_sha256":"f0208d63f75f8e8eece7975218fd5b662b934a1cac7bc7c25d3edf61399abf50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmXsdLD/c5lyFFTndFSvG009ZfrBOYSfNWeON7p0IbiIVoSi0UH4K1OmXJ/LRWiRGZb2qkIHKjERKr/DWYJ9Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:29:25.962614Z","bundle_sha256":"1bb5dcad2ce494481e3377bdcfab63b6cd9081ecb634d2a5875aa0be6e08c615"}}