{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RUAHBIMELQGMFL45AJXEBO4MYF","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":"2d2146d97fedc3736b442b105046349a590e5e2cd8478411f5edee04f5e3fe2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-20T18:00:04Z","title_canon_sha256":"9a11f65896c5695a0acd22a31db6dac879c74e307382c3de83445e2f1186acd4"},"schema_version":"1.0","source":{"id":"2307.11158","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.11158","created_at":"2026-07-05T07:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"2307.11158v1","created_at":"2026-07-05T07:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.11158","created_at":"2026-07-05T07:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"RUAHBIMELQGM","created_at":"2026-07-05T07:10:26Z"},{"alias_kind":"pith_short_16","alias_value":"RUAHBIMELQGMFL45","created_at":"2026-07-05T07:10:26Z"},{"alias_kind":"pith_short_8","alias_value":"RUAHBIME","created_at":"2026-07-05T07:10:26Z"}],"graph_snapshots":[{"event_id":"sha256:5efcdcc6db422e03f4d160aa53111267fe0a3ebc292c0085187534e986ce9ce0","target":"graph","created_at":"2026-07-05T07:10:26Z","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/2307.11158/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive new terms in the post-Newtonian (PN) expansion of the generalized redshift invariant $\\langle u^t \\rangle_\\tau$ for a small body in eccentric, equatorial orbit about a massive Kerr black hole. The series is computed analytically using the Teukolsky formalism for first-order black hole perturbation theory (BHPT), along with the CCK method for metric reconstruction using the Hertz potential in ingoing radiation gauge. Modal contributions with small values of $l$ are derived via the semi-analytic solution of Mano-Suzuki-Takasugi (MST), while the remaining values of $l$ to infinity are d","authors_text":"Christopher Munna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-20T18:00:04Z","title":"High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.11158","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":"sha256:89efe62dd196c1d68a8f86bb53cdd445becba1cda3d2c68a3096c686b120e61d","target":"record","created_at":"2026-07-05T07:10:26Z","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":"2d2146d97fedc3736b442b105046349a590e5e2cd8478411f5edee04f5e3fe2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-20T18:00:04Z","title_canon_sha256":"9a11f65896c5695a0acd22a31db6dac879c74e307382c3de83445e2f1186acd4"},"schema_version":"1.0","source":{"id":"2307.11158","kind":"arxiv","version":1}},"canonical_sha256":"8d0070a1845c0cc2af9d026e40bb8cc176ec9a91a270d27b8db21ad693b712a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d0070a1845c0cc2af9d026e40bb8cc176ec9a91a270d27b8db21ad693b712a3","first_computed_at":"2026-07-05T07:10:26.677004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:10:26.677004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YmOqTGdaG35mlg9yKTLQ5QA3ymPMLR3R0I3+47DZ8s1B9VgZaPfPdTntshGPjvCghh3JlT7rOOVDk3AWZq4ZBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:10:26.677519Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.11158","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89efe62dd196c1d68a8f86bb53cdd445becba1cda3d2c68a3096c686b120e61d","sha256:5efcdcc6db422e03f4d160aa53111267fe0a3ebc292c0085187534e986ce9ce0"],"state_sha256":"1fba222f72247370dee332938764764cece8736e1a96f5fb070405457fdbcece"}