{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:H5AYKJV67A65L3F42PNK4IM4SO","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":"62f1a27ce3b694c0d382601232363c04119b7289b64082aae90ed9e89ae032b0","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-01-12T21:14:45Z","title_canon_sha256":"4f8dfc51586c492d6401c876dcbbe798a098d1ef8203e5b898262a44e14c0638"},"schema_version":"1.0","source":{"id":"hep-th/0001078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0001078","created_at":"2026-07-04T14:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0001078v1","created_at":"2026-07-04T14:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0001078","created_at":"2026-07-04T14:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"H5AYKJV67A65","created_at":"2026-07-04T14:31:17Z"},{"alias_kind":"pith_short_16","alias_value":"H5AYKJV67A65L3F4","created_at":"2026-07-04T14:31:17Z"},{"alias_kind":"pith_short_8","alias_value":"H5AYKJV6","created_at":"2026-07-04T14:31:17Z"}],"graph_snapshots":[{"event_id":"sha256:a297c081074fb866bfa5ac74568a0bf2b25f5ceb9ba21e56f92dd57614e9ff9a","target":"graph","created_at":"2026-07-04T14:31:17Z","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/hep-th/0001078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The goal of this note is to provide a recursive algorithm that allows one to calculate the expansion of the metric tensor up to the desired order in Riemann normal coordinates. We test our expressions up to fourth order and predict results up to sixth order. For an arbitrary number of symmetric partial derivatives acting on the components of the metric tensor subtle treatment is required since the degree of complication increases rapidly.","authors_text":"Agapitos Hatzinikitas","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-01-12T21:14:45Z","title":"A note on Riemann normal coordinates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0001078","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:a8650d53a2bd279c82d9770f1082d2f5d339537e5a6d78698b942af9baf551c1","target":"record","created_at":"2026-07-04T14:31:17Z","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":"62f1a27ce3b694c0d382601232363c04119b7289b64082aae90ed9e89ae032b0","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-01-12T21:14:45Z","title_canon_sha256":"4f8dfc51586c492d6401c876dcbbe798a098d1ef8203e5b898262a44e14c0638"},"schema_version":"1.0","source":{"id":"hep-th/0001078","kind":"arxiv","version":1}},"canonical_sha256":"3f418526bef83dd5ecbcd3daae219c9384dbe2fb82e893d85151a6652a2e1e9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f418526bef83dd5ecbcd3daae219c9384dbe2fb82e893d85151a6652a2e1e9e","first_computed_at":"2026-07-04T14:31:17.774670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:31:17.774670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t440PWAL9n40Ikq2BSi++X1Z0S1Mukw6pUAqxooUzzeRsjMa01FKyQQ11wxam7vndGeuHqB1+E75LkTHhrDTAg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:31:17.775032Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0001078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8650d53a2bd279c82d9770f1082d2f5d339537e5a6d78698b942af9baf551c1","sha256:a297c081074fb866bfa5ac74568a0bf2b25f5ceb9ba21e56f92dd57614e9ff9a"],"state_sha256":"fd43df3b6a0b4c16859254d98b0fc51a7f88833c2b4ea2f4d8884df4a7e795cb"}