{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:R3BUEYMH5BPFWIP4UO5BTQ75EV","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":"1309e9a8987902e0b7cc2d91f7728953724ce9f74206b19ab29553baed056810","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-16T18:00:03Z","title_canon_sha256":"e4247d6065bc40602de82a59e7c36336c74bad12bbf7b9f7b912ef23e6da339a"},"schema_version":"1.0","source":{"id":"2203.08839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.08839","created_at":"2026-07-05T04:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"2203.08839v2","created_at":"2026-07-05T04:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.08839","created_at":"2026-07-05T04:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"R3BUEYMH5BPF","created_at":"2026-07-05T04:39:32Z"},{"alias_kind":"pith_short_16","alias_value":"R3BUEYMH5BPFWIP4","created_at":"2026-07-05T04:39:32Z"},{"alias_kind":"pith_short_8","alias_value":"R3BUEYMH","created_at":"2026-07-05T04:39:32Z"}],"graph_snapshots":[{"event_id":"sha256:f6c84a9db7f0075fa0a91388a19752a141154c9f655b17300982225a087ff97f","target":"graph","created_at":"2026-07-05T04:39:32Z","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/2203.08839/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain the classical holographic relation for the general Lovelock gravity and decompose the full Lagrangian into the bulk term and the surface term, expressed as a total derivative $\\partial_\\mu J^\\mu$. By classical holographic relation, we mean that $J^\\mu$ is determined completely by the bulk term. We find that the bulk term is not degenerate, or first-order in this foliation-independent approach. We then consider the Arnowitt-Deser-Misner (ADM) formalism where the foliation coordinate $w$ is treated as special. We obtain the classical holographic-degenerate relation with the first-order","authors_text":"H. Khodabakhshi, H. Lu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-16T18:00:03Z","title":"Classical Holographic Relations and Alternative Boundary Conditions for Lovelock Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.08839","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":"sha256:2ebee61a40279358886f6c44d97d32a89a43470deccdb4099ae83b866115999e","target":"record","created_at":"2026-07-05T04:39:32Z","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":"1309e9a8987902e0b7cc2d91f7728953724ce9f74206b19ab29553baed056810","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-16T18:00:03Z","title_canon_sha256":"e4247d6065bc40602de82a59e7c36336c74bad12bbf7b9f7b912ef23e6da339a"},"schema_version":"1.0","source":{"id":"2203.08839","kind":"arxiv","version":2}},"canonical_sha256":"8ec3426187e85e5b21fca3ba19c3fd257513c6e8e59d58083729c5ea34c43f1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ec3426187e85e5b21fca3ba19c3fd257513c6e8e59d58083729c5ea34c43f1b","first_computed_at":"2026-07-05T04:39:32.753627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:39:32.753627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BbP226e+Xdg0KCCckpQBm2soY/ii8Ju5/c1FpUG0eD79/134kjZQigZyrAAI5KCZHubGNQdKG66gB85fK/d9DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:39:32.754192Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.08839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ebee61a40279358886f6c44d97d32a89a43470deccdb4099ae83b866115999e","sha256:f6c84a9db7f0075fa0a91388a19752a141154c9f655b17300982225a087ff97f"],"state_sha256":"1560738016ce52c66473918ff61019a4a63e904e01676ccd8bdda68017bdd553"}