{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:M5UHX2WKUDKCFXZ73JSZR2ZBCS","short_pith_number":"pith:M5UHX2WK","canonical_record":{"source":{"id":"2003.11394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-25T13:28:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"52dcd59f95c8fa000eeb0cb283ed4650180efa107f1c77c001a8edf1e1b5a448","abstract_canon_sha256":"5c95b347c01eb3a318386d51e866bf0ab1c1aa45a53f47f5c07271c0210f5605"},"schema_version":"1.0"},"canonical_sha256":"67687beacaa0d422df3fda6598eb2114a472887977fc093f71146c91e23645dd","source":{"kind":"arxiv","id":"2003.11394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.11394","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"arxiv_version","alias_value":"2003.11394v1","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11394","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_12","alias_value":"M5UHX2WKUDKC","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_16","alias_value":"M5UHX2WKUDKCFXZ7","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_8","alias_value":"M5UHX2WK","created_at":"2026-07-05T04:01:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:M5UHX2WKUDKCFXZ73JSZR2ZBCS","target":"record","payload":{"canonical_record":{"source":{"id":"2003.11394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-25T13:28:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"52dcd59f95c8fa000eeb0cb283ed4650180efa107f1c77c001a8edf1e1b5a448","abstract_canon_sha256":"5c95b347c01eb3a318386d51e866bf0ab1c1aa45a53f47f5c07271c0210f5605"},"schema_version":"1.0"},"canonical_sha256":"67687beacaa0d422df3fda6598eb2114a472887977fc093f71146c91e23645dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:01:54.412600Z","signature_b64":"vXwF9UV+lLMEAnVXSk6uWi4XZGPvJhevjHe9nKz/1cY4oNYIeyyyAOAz9JB2gEyAWmMWQbC8CWd2J3+yun+bAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67687beacaa0d422df3fda6598eb2114a472887977fc093f71146c91e23645dd","last_reissued_at":"2026-07-05T04:01:54.412149Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:01:54.412149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.11394","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":"2026-07-05T04:01:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpPol3MsX8CEUeqZdsD1gxRHYSrQwkh+6/eiteJvV+USoFk660+Cd9uvb+uf3KnhQsValap2U0wSwGaQpFo5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:17:36.735817Z"},"content_sha256":"86a31707a47710f539daa351f9a70b2c50305eb5a8ed4ed17bcb6affb1011c90","schema_version":"1.0","event_id":"sha256:86a31707a47710f539daa351f9a70b2c50305eb5a8ed4ed17bcb6affb1011c90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:M5UHX2WKUDKCFXZ73JSZR2ZBCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Large D Limit of Einstein's Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Christopher P. Herzog, Roberto Emparan","submitted_at":"2020-03-25T13:28:03Z","abstract_excerpt":"We review recent progress in taking the large dimension limit of Einstein's equations. Most of our analysis is classical in nature and concerns situations where there is a black hole horizon although we briefly discuss various extensions that include quantum gravitational effects. The review consists of two main parts: the first a discussion of general aspects of black holes and effective membrane theories in this large dimension limit, and the second a series of applications of this limit to interesting physical problems. The first part includes a discussion of quasinormal modes which leads n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11394","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/2003.11394/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":"2026-07-05T04:01:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d7tIE80TwJlSb5jslWklPgSyHdIX/fmx3DJ3dA/upygOHapXLeBLkqsZZJQar3VN3N7zN9awpoEQZZO7v7jlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:17:36.736363Z"},"content_sha256":"dfe8db7db456a9bc266c46f90dd945121d63f5d428c7ecb7e5da7e8bbc965c25","schema_version":"1.0","event_id":"sha256:dfe8db7db456a9bc266c46f90dd945121d63f5d428c7ecb7e5da7e8bbc965c25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/bundle.json","state_url":"https://pith.science/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/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":"2026-08-13T12:17:36Z","links":{"resolver":"https://pith.science/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS","bundle":"https://pith.science/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/bundle.json","state":"https://pith.science/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M5UHX2WKUDKCFXZ73JSZR2ZBCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:M5UHX2WKUDKCFXZ73JSZR2ZBCS","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":"5c95b347c01eb3a318386d51e866bf0ab1c1aa45a53f47f5c07271c0210f5605","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-25T13:28:03Z","title_canon_sha256":"52dcd59f95c8fa000eeb0cb283ed4650180efa107f1c77c001a8edf1e1b5a448"},"schema_version":"1.0","source":{"id":"2003.11394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.11394","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"arxiv_version","alias_value":"2003.11394v1","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11394","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_12","alias_value":"M5UHX2WKUDKC","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_16","alias_value":"M5UHX2WKUDKCFXZ7","created_at":"2026-07-05T04:01:54Z"},{"alias_kind":"pith_short_8","alias_value":"M5UHX2WK","created_at":"2026-07-05T04:01:54Z"}],"graph_snapshots":[{"event_id":"sha256:dfe8db7db456a9bc266c46f90dd945121d63f5d428c7ecb7e5da7e8bbc965c25","target":"graph","created_at":"2026-07-05T04:01:54Z","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/2003.11394/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review recent progress in taking the large dimension limit of Einstein's equations. Most of our analysis is classical in nature and concerns situations where there is a black hole horizon although we briefly discuss various extensions that include quantum gravitational effects. The review consists of two main parts: the first a discussion of general aspects of black holes and effective membrane theories in this large dimension limit, and the second a series of applications of this limit to interesting physical problems. The first part includes a discussion of quasinormal modes which leads n","authors_text":"Christopher P. Herzog, Roberto Emparan","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-25T13:28:03Z","title":"The Large D Limit of Einstein's Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11394","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":"sha256:86a31707a47710f539daa351f9a70b2c50305eb5a8ed4ed17bcb6affb1011c90","target":"record","created_at":"2026-07-05T04:01:54Z","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":"5c95b347c01eb3a318386d51e866bf0ab1c1aa45a53f47f5c07271c0210f5605","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-25T13:28:03Z","title_canon_sha256":"52dcd59f95c8fa000eeb0cb283ed4650180efa107f1c77c001a8edf1e1b5a448"},"schema_version":"1.0","source":{"id":"2003.11394","kind":"arxiv","version":1}},"canonical_sha256":"67687beacaa0d422df3fda6598eb2114a472887977fc093f71146c91e23645dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67687beacaa0d422df3fda6598eb2114a472887977fc093f71146c91e23645dd","first_computed_at":"2026-07-05T04:01:54.412149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:01:54.412149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vXwF9UV+lLMEAnVXSk6uWi4XZGPvJhevjHe9nKz/1cY4oNYIeyyyAOAz9JB2gEyAWmMWQbC8CWd2J3+yun+bAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:01:54.412600Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.11394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a31707a47710f539daa351f9a70b2c50305eb5a8ed4ed17bcb6affb1011c90","sha256:dfe8db7db456a9bc266c46f90dd945121d63f5d428c7ecb7e5da7e8bbc965c25"],"state_sha256":"96362ee43cf880361f9d8020b192c790b9a9b7802950b73c061205d893fec482"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HfoWNvCaMH9/9iBc2Zp/i7hduIig/J6aTbtbwm96LfCJsjyVk5WtEuZjNjrQvLnEdBJwGqusYOCmy/vGrjxqAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T12:17:36.766754Z","bundle_sha256":"f7ebf23848aa87f8c427eb5c77371b6d2192437032e89702769501b5451511fc"}}