{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:LC52XNQB3SUHDE2R6REDUUC54E","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":"cc1f3c34874208f138b8e9fd8af883a6ed04e6a352da35dc111cc87ebe96a71e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-11-08T12:17:57Z","title_canon_sha256":"cf33403e25b8973986b0d9d89c1caf2716ec7b3d0bd065f14a80f2de205f0067"},"schema_version":"1.0","source":{"id":"gr-qc/9311012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9311012","created_at":"2026-07-04T17:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9311012v1","created_at":"2026-07-04T17:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9311012","created_at":"2026-07-04T17:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"LC52XNQB3SUH","created_at":"2026-07-04T17:25:35Z"},{"alias_kind":"pith_short_16","alias_value":"LC52XNQB3SUHDE2R","created_at":"2026-07-04T17:25:35Z"},{"alias_kind":"pith_short_8","alias_value":"LC52XNQB","created_at":"2026-07-04T17:25:35Z"}],"graph_snapshots":[{"event_id":"sha256:641e174be81c94d22032597837d674c88f10f83b8989530272e05e6729b7fd6a","target":"graph","created_at":"2026-07-04T17:25:35Z","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/gr-qc/9311012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The assumption that a solution to the Einstein equations is static (or stationary) very strongly constrains the asymptotic behaviour of the metric. It is shown that one need only impose very weak differentiability and decay conditions {\\it a priori} on the metric for the field equations to force the metric to be analytic near infinity and to have the standard Schwarzschildian falloff.","authors_text":"Daniel Kennefick, Niall \\'O Murchadha","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1993-11-08T12:17:57Z","title":"Weakly decaying asymptotically flat static and stationary solutions to the Einstein equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9311012","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":"sha256:54fd4f3ae4446ea2256ab767fc04703e5067637fc00b344cf9e384243f291987","target":"record","created_at":"2026-07-04T17:25:35Z","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":"cc1f3c34874208f138b8e9fd8af883a6ed04e6a352da35dc111cc87ebe96a71e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-11-08T12:17:57Z","title_canon_sha256":"cf33403e25b8973986b0d9d89c1caf2716ec7b3d0bd065f14a80f2de205f0067"},"schema_version":"1.0","source":{"id":"gr-qc/9311012","kind":"arxiv","version":1}},"canonical_sha256":"58bbabb601dca8719351f4483a505de1161047aa8949716fb27d99d2a50022fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58bbabb601dca8719351f4483a505de1161047aa8949716fb27d99d2a50022fb","first_computed_at":"2026-07-04T17:25:35.483005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:35.483005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uMGetNItfKhJk/AHOTpnU4I88Qd9zSuJGEpGck579Fao6Td27tyT9ofyeBKwP3ilgGODNYgoB1f7k/4QfTaKCg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:35.483475Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9311012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54fd4f3ae4446ea2256ab767fc04703e5067637fc00b344cf9e384243f291987","sha256:641e174be81c94d22032597837d674c88f10f83b8989530272e05e6729b7fd6a"],"state_sha256":"bdbfb0d34b2102f1ee913e86622840de09b70caeb5baa1c9190b14314cb40577"}