{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:2SOD2IHPPFFXKALL24ACGCSS6T","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":"d97eeaeea9382ab108a76be23abe9c4b9e4bc5fd6d6634b2de840af9cd6e25dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-19T13:29:12Z","title_canon_sha256":"0811f7206b32034d0d26a0e8a3ea6e92506007c735d3e4cef7fc9bbf0705b977"},"schema_version":"1.0","source":{"id":"2006.11125","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.11125","created_at":"2026-07-05T01:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"2006.11125v2","created_at":"2026-07-05T01:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.11125","created_at":"2026-07-05T01:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"2SOD2IHPPFFX","created_at":"2026-07-05T01:46:22Z"},{"alias_kind":"pith_short_16","alias_value":"2SOD2IHPPFFXKALL","created_at":"2026-07-05T01:46:22Z"},{"alias_kind":"pith_short_8","alias_value":"2SOD2IHP","created_at":"2026-07-05T01:46:22Z"}],"graph_snapshots":[{"event_id":"sha256:2c5ea97213de183283dfa2640826ab288e26dd9171108e24a583c7215b28e2f3","target":"graph","created_at":"2026-07-05T01:46:22Z","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/2006.11125/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Total travel time $t$ and time delay $\\Delta t$ between images of gravitational lensing (GL) in the equatorial plane of stationary axisymmetric (SAS) spacetimes for null and timelike signals with arbitrary velocity are studied. Using a perturbative method in the weak field limit, $t$ in general SAS spacetimes is expressed as a quasi-series of the impact parameter $b$ with coefficients involving the source-lens distance $r_s$ and lens-detector distances $r_d$, signal velocity $v$, and asymptotic expansion coefficients of the metric functions. The time delay $\\Delta t$ to the leading order(s) we","authors_text":"Haotian Liu, Junji Jia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-19T13:29:12Z","title":"Constraining the spacetime spin using time delay in stationary axisymmetric spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.11125","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:d561b90dc023dd75adf3fa8184e56b02ab130a5fc12d021a66caabdb65af348e","target":"record","created_at":"2026-07-05T01:46:22Z","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":"d97eeaeea9382ab108a76be23abe9c4b9e4bc5fd6d6634b2de840af9cd6e25dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-19T13:29:12Z","title_canon_sha256":"0811f7206b32034d0d26a0e8a3ea6e92506007c735d3e4cef7fc9bbf0705b977"},"schema_version":"1.0","source":{"id":"2006.11125","kind":"arxiv","version":2}},"canonical_sha256":"d49c3d20ef794b75016bd700230a52f4f1fdb7fc9528e7a3da59e2639feba1b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d49c3d20ef794b75016bd700230a52f4f1fdb7fc9528e7a3da59e2639feba1b7","first_computed_at":"2026-07-05T01:46:22.070352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:22.070352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bgryxkvHVM0uHoFS2QNs8OYN8BaoclNlkf99j1ITJ1Zeodp+Z/f7XCqj5mpXfkV31WhMzZI3J5eTIYLaaEhoDg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:22.070783Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.11125","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d561b90dc023dd75adf3fa8184e56b02ab130a5fc12d021a66caabdb65af348e","sha256:2c5ea97213de183283dfa2640826ab288e26dd9171108e24a583c7215b28e2f3"],"state_sha256":"7a3666ab284a069bac1c3d3d287caed7e307d217fa262693e822cc30261d3591"}