{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:TSW5YQUNV63U7OB5ERDXZMGABX","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":"b14228ff387a8eb504475fff5a5ee18bb0e62dc072bf9909d282234580c6b4bc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-18T19:00:13Z","title_canon_sha256":"8e056775a34c710843a6c560ed003f4aa922c7fdcda0ecf709489796b01ce5ae"},"schema_version":"1.0","source":{"id":"2210.10103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.10103","created_at":"2026-07-05T06:43:37Z"},{"alias_kind":"arxiv_version","alias_value":"2210.10103v2","created_at":"2026-07-05T06:43:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.10103","created_at":"2026-07-05T06:43:37Z"},{"alias_kind":"pith_short_12","alias_value":"TSW5YQUNV63U","created_at":"2026-07-05T06:43:37Z"},{"alias_kind":"pith_short_16","alias_value":"TSW5YQUNV63U7OB5","created_at":"2026-07-05T06:43:37Z"},{"alias_kind":"pith_short_8","alias_value":"TSW5YQUN","created_at":"2026-07-05T06:43:37Z"}],"graph_snapshots":[{"event_id":"sha256:45f5efca495951fcd058af9caf9e5b9131b652109e6c83b9697621c7a621bce4","target":"graph","created_at":"2026-07-05T06:43:37Z","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/2210.10103/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The authors present concepts and mathematical developments which give rise to the Hamiltonian formulation of Einstein's general relativity, first introduced by Arnowitt, Deser, and Misner. All the geometrical quantities needed for the construction are explicitly obtained, and examples of some of the application of the formalism are given.","authors_text":"Alejandro Corichi, Dario N\\'u\\~nez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-18T19:00:13Z","title":"Introduction to the ADM formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.10103","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":"sha256:5f48201eda77d8846f8a932047f26ab664013f1091db8a87f42a486cddd591c1","target":"record","created_at":"2026-07-05T06:43:37Z","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":"b14228ff387a8eb504475fff5a5ee18bb0e62dc072bf9909d282234580c6b4bc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-18T19:00:13Z","title_canon_sha256":"8e056775a34c710843a6c560ed003f4aa922c7fdcda0ecf709489796b01ce5ae"},"schema_version":"1.0","source":{"id":"2210.10103","kind":"arxiv","version":2}},"canonical_sha256":"9caddc428dafb74fb83d24477cb0c00def35ec810b881280125e7b88118880d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9caddc428dafb74fb83d24477cb0c00def35ec810b881280125e7b88118880d7","first_computed_at":"2026-07-05T06:43:37.193638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:43:37.193638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/r7DVu5Psxy0/wnK74mBDySllaLrE8fRmQzqL65LQ5u7QTmpfTagfyENIcfV6mDQnFG0pJ51RsTdqreD+UX1BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:43:37.194131Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.10103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f48201eda77d8846f8a932047f26ab664013f1091db8a87f42a486cddd591c1","sha256:45f5efca495951fcd058af9caf9e5b9131b652109e6c83b9697621c7a621bce4"],"state_sha256":"dfae1b3eed2f884188db4e7f4cb87e9a97be1e1da3fe5520c80885ec385f64fd"}