{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YSTGZQQL4VK7ZEYBXK6M2644NM","short_pith_number":"pith:YSTGZQQL","canonical_record":{"source":{"id":"1801.07064","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-22T12:24:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6f0eb2578fb59338a89bdec8b1152e7c0a2bbaab8f061b1aa6c983cac56222a7","abstract_canon_sha256":"f595d188e83cb36c06d3f7c81d6f35efbc5e1255d0cd95ed15947438b7f74cc7"},"schema_version":"1.0"},"canonical_sha256":"c4a66cc20be555fc9301babccd7b9c6b1189d47f77fd29db0eb797734842f2fa","source":{"kind":"arxiv","id":"1801.07064","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07064","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07064v4","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07064","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"pith_short_12","alias_value":"YSTGZQQL4VK7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YSTGZQQL4VK7ZEYB","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YSTGZQQL","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YSTGZQQL4VK7ZEYBXK6M2644NM","target":"record","payload":{"canonical_record":{"source":{"id":"1801.07064","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-22T12:24:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6f0eb2578fb59338a89bdec8b1152e7c0a2bbaab8f061b1aa6c983cac56222a7","abstract_canon_sha256":"f595d188e83cb36c06d3f7c81d6f35efbc5e1255d0cd95ed15947438b7f74cc7"},"schema_version":"1.0"},"canonical_sha256":"c4a66cc20be555fc9301babccd7b9c6b1189d47f77fd29db0eb797734842f2fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:26.407252Z","signature_b64":"RSQs1THbQhPSQyGJ5JkFQEi2GxcmznXIfy6THZxZR0xAPqv5OVtXlUwybGWhPergrb8Jixl9tGunk0QoHVL0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4a66cc20be555fc9301babccd7b9c6b1189d47f77fd29db0eb797734842f2fa","last_reissued_at":"2026-05-17T23:54:26.406547Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:26.406547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.07064","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5w3pyItJrlvvm65AJrlZpJEGmvSbPxFCxJ4HM2iz7jZujhZeufpTz6ylRlSa1We4fofaau1R+t6rO9I6LxcNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:52:52.670618Z"},"content_sha256":"1264dfe05fcafc66118a584620c34224ca4685462103cedb7b35b6b0b8f03ab5","schema_version":"1.0","event_id":"sha256:1264dfe05fcafc66118a584620c34224ca4685462103cedb7b35b6b0b8f03ab5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YSTGZQQL4VK7ZEYBXK6M2644NM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Advanced Lectures on General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Adrien Fiorucci, Geoffrey Comp\\`ere","submitted_at":"2018-01-22T12:24:50Z","abstract_excerpt":"These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The 4 topics covered are (1) Surface charges as conserved quantities in theories of gravity; (2) Classical and holographic features of three-dimensional Einstein gravity; (3) Asymptotically flat spacetimes in 4 dimensions: BMS group and memory effects; (4) The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07064","kind":"arxiv","version":4},"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":"2026-05-17T23:54:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NiZ8rgtRIRSRLNVvWvqD4Xg5rqydlXrFX2UXWkHbfT+0bx9+oUznRK/S7uYawa5kCCkuGz5TcdZIlHAnslDOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:52:52.671295Z"},"content_sha256":"00a9ffc1d03dc0a6fcc93234c3206d1444db013de700a780b3ef67be630dce3a","schema_version":"1.0","event_id":"sha256:00a9ffc1d03dc0a6fcc93234c3206d1444db013de700a780b3ef67be630dce3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/bundle.json","state_url":"https://pith.science/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/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":"2026-06-10T06:52:52Z","links":{"resolver":"https://pith.science/pith/YSTGZQQL4VK7ZEYBXK6M2644NM","bundle":"https://pith.science/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/bundle.json","state":"https://pith.science/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSTGZQQL4VK7ZEYBXK6M2644NM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YSTGZQQL4VK7ZEYBXK6M2644NM","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":"f595d188e83cb36c06d3f7c81d6f35efbc5e1255d0cd95ed15947438b7f74cc7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-22T12:24:50Z","title_canon_sha256":"6f0eb2578fb59338a89bdec8b1152e7c0a2bbaab8f061b1aa6c983cac56222a7"},"schema_version":"1.0","source":{"id":"1801.07064","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07064","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07064v4","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07064","created_at":"2026-05-17T23:54:26Z"},{"alias_kind":"pith_short_12","alias_value":"YSTGZQQL4VK7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YSTGZQQL4VK7ZEYB","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YSTGZQQL","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:00a9ffc1d03dc0a6fcc93234c3206d1444db013de700a780b3ef67be630dce3a","target":"graph","created_at":"2026-05-17T23:54:26Z","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":"These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The 4 topics covered are (1) Surface charges as conserved quantities in theories of gravity; (2) Classical and holographic features of three-dimensional Einstein gravity; (3) Asymptotically flat spacetimes in 4 dimensions: BMS group and memory effects; (4) The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.","authors_text":"Adrien Fiorucci, Geoffrey Comp\\`ere","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-22T12:24:50Z","title":"Advanced Lectures on General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07064","kind":"arxiv","version":4},"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":"sha256:1264dfe05fcafc66118a584620c34224ca4685462103cedb7b35b6b0b8f03ab5","target":"record","created_at":"2026-05-17T23:54:26Z","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":"f595d188e83cb36c06d3f7c81d6f35efbc5e1255d0cd95ed15947438b7f74cc7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-22T12:24:50Z","title_canon_sha256":"6f0eb2578fb59338a89bdec8b1152e7c0a2bbaab8f061b1aa6c983cac56222a7"},"schema_version":"1.0","source":{"id":"1801.07064","kind":"arxiv","version":4}},"canonical_sha256":"c4a66cc20be555fc9301babccd7b9c6b1189d47f77fd29db0eb797734842f2fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4a66cc20be555fc9301babccd7b9c6b1189d47f77fd29db0eb797734842f2fa","first_computed_at":"2026-05-17T23:54:26.406547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:26.406547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RSQs1THbQhPSQyGJ5JkFQEi2GxcmznXIfy6THZxZR0xAPqv5OVtXlUwybGWhPergrb8Jixl9tGunk0QoHVL0Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:26.407252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07064","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1264dfe05fcafc66118a584620c34224ca4685462103cedb7b35b6b0b8f03ab5","sha256:00a9ffc1d03dc0a6fcc93234c3206d1444db013de700a780b3ef67be630dce3a"],"state_sha256":"a0f938472ebb63195bd7c7340b80fe45ab3a9c2ed3fbddfd75a0bb7295d9891e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E14rOhlc52/k9NkFteQsU5qyoBTSqmuoDFGcUF2pRnPbCpobS9ZHX1tasK8pf8dfbB/VSoqhfdB7Z0eeq3WuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:52:52.675183Z","bundle_sha256":"cc30d7ea2af603b82d3bd57a41645bc63bb8234a46585e9cb67ebc8e46102af2"}}