{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X2Q34YPKKPR3VHDTA6S24FYLXV","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":"8a77a596bc0998ac585d3e5501dc4ae13d176395fd9c57d4fbbb84cdd2c521c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-12T10:20:34Z","title_canon_sha256":"bce10b216c9f5d9e1bb470760930edeedbf45200d631d5aaacd212d84e1910c9"},"schema_version":"1.0","source":{"id":"1304.3591","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3591","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3591v2","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3591","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"X2Q34YPKKPR3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X2Q34YPKKPR3VHDT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X2Q34YPK","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:e0c0b70e4c926bcfe77472b7faf8d9fed196f65d8c5150f4c75b50e85def90d4","target":"graph","created_at":"2026-05-18T03:13:12Z","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":"We refine the presentation of the previous paper of our group, Y.Ezawa et al., Class. Quantum Grav. {\\bf 23} (2006), 3205 [arXiv:gr-qc/0507060]. In that paper, we proposed a canonical formalism of f(R)-type generalized gravity by using the Lie derivatives instead of the time derivatives. However, the use of the Lie derivatives was not sufficient. In this note, we make use of the Lie derivatives as far as possible, so that no time derivatives are used.","authors_text":"Yasuo Ezawa, Yoshiaki Ohkuwa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-12T10:20:34Z","title":"Refined form of the paper \"Canonical formalism of the f(R)-type gravity in terms of Lie derivatives\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3591","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:fb231bef2a40c27c3382112dcd7641a7fcd32f0a1fc3d13bc72d38ed36f55e57","target":"record","created_at":"2026-05-18T03:13:12Z","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":"8a77a596bc0998ac585d3e5501dc4ae13d176395fd9c57d4fbbb84cdd2c521c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-12T10:20:34Z","title_canon_sha256":"bce10b216c9f5d9e1bb470760930edeedbf45200d631d5aaacd212d84e1910c9"},"schema_version":"1.0","source":{"id":"1304.3591","kind":"arxiv","version":2}},"canonical_sha256":"bea1be61ea53e3ba9c7307a5ae170bbd4ae20e84617f845a7c3c347d6727fbb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bea1be61ea53e3ba9c7307a5ae170bbd4ae20e84617f845a7c3c347d6727fbb6","first_computed_at":"2026-05-18T03:13:12.533736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:12.533736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WJxdMVqZiL6Zrtuw4iuahNxzHw65KsHX64ABFw7QvIiLrXNq/8b6sb+VyjRGxDpvFnyZ9TvKnQdYsn10+TtrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:12.534405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3591","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb231bef2a40c27c3382112dcd7641a7fcd32f0a1fc3d13bc72d38ed36f55e57","sha256:e0c0b70e4c926bcfe77472b7faf8d9fed196f65d8c5150f4c75b50e85def90d4"],"state_sha256":"8d481139329792b116fff6bf1bb859d40ae1f087ad647b75121c04becf64efda"}