{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5F56LS7YWQNZ4UEANFHWV3PTLZ","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":"1d9d60e5249b0019f7d6764569e95939047d4b92bb1a7c28082a0f6877fb331e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-23T19:00:04Z","title_canon_sha256":"6adf0c6f9d11d8eeed7295391f1f6471c618491bef0819d433c8946238f75df1"},"schema_version":"1.0","source":{"id":"2302.12273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.12273","created_at":"2026-07-05T05:45:07Z"},{"alias_kind":"arxiv_version","alias_value":"2302.12273v1","created_at":"2026-07-05T05:45:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.12273","created_at":"2026-07-05T05:45:07Z"},{"alias_kind":"pith_short_12","alias_value":"5F56LS7YWQNZ","created_at":"2026-07-05T05:45:07Z"},{"alias_kind":"pith_short_16","alias_value":"5F56LS7YWQNZ4UEA","created_at":"2026-07-05T05:45:07Z"},{"alias_kind":"pith_short_8","alias_value":"5F56LS7Y","created_at":"2026-07-05T05:45:07Z"}],"graph_snapshots":[{"event_id":"sha256:c35c5cac501a90e8020146adab859e4db8715fa5a262221145240132161393d9","target":"graph","created_at":"2026-07-05T05:45:07Z","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/2302.12273/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain the Arnowitt-Deser-Misner formulation of general relativity in $n$ dimensions ($n \\geq 3$) from its either $SO(n-1,1)$ [$SO(n)$] or $SO(n-1)$ Palatini Hamiltonian formulations and vice versa [we recall that $SO(n-1,1)$ [$SO(n)$] requires no gauge fixing whereas $SO(n-1)$ involves the time gauge]. Similarly, the Hamiltonian formulation of general relativity in terms of Ashtekar-Barbero variables can also be directly obtained from the Arnowitt-Deser-Misner Hamiltonian formulation and vice versa, which is an alternative approach to the way followed by Barbero. We give the relevant maps ","authors_text":"Jorge Romero, Merced Montesinos","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-23T19:00:04Z","title":"Linking the ADM formulation to other Hamiltonian formulations of general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.12273","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":"sha256:0ace35de9c4ea0e33ee5b3024a6a2f987816bbe44bf70aa6407a862c1ec1b94e","target":"record","created_at":"2026-07-05T05:45:07Z","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":"1d9d60e5249b0019f7d6764569e95939047d4b92bb1a7c28082a0f6877fb331e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-23T19:00:04Z","title_canon_sha256":"6adf0c6f9d11d8eeed7295391f1f6471c618491bef0819d433c8946238f75df1"},"schema_version":"1.0","source":{"id":"2302.12273","kind":"arxiv","version":1}},"canonical_sha256":"e97be5cbf8b41b9e5080694f6aedf35e658f0aafd20c53fdfb4756cac85d3451","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e97be5cbf8b41b9e5080694f6aedf35e658f0aafd20c53fdfb4756cac85d3451","first_computed_at":"2026-07-05T05:45:07.669118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:45:07.669118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PI4+oS+XnpYvd1mLSlTVj7b74lj5xHVLtYTO5giblNG4itHt+KDwaoNxW5GRZsLjD/4chsGifCyCyPisFlVDDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:45:07.669607Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.12273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ace35de9c4ea0e33ee5b3024a6a2f987816bbe44bf70aa6407a862c1ec1b94e","sha256:c35c5cac501a90e8020146adab859e4db8715fa5a262221145240132161393d9"],"state_sha256":"44302b2b8efce50757cf6bc89a91a8a5e84c14d457806e3e286d71e1a1688cab"}