{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:HI2KMWU5GGCY2GMVC4WQBW5CEK","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":"670c2b95409d707ff3263614bcb9bdeac12080ad3cb48c4fb955ae9926744724","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-08-16T18:00:09Z","title_canon_sha256":"19ef52f7570131f7899241a0ccca95cc5cf493245ab4e97eb0fc133742513f3e"},"schema_version":"1.0","source":{"id":"gr-qc/9608042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9608042","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9608042v1","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9608042","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"HI2KMWU5GGCY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"HI2KMWU5GGCY2GMV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"HI2KMWU5","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:01357910abacf92be28cb23f1f4e0da8ce7585bba5ccccb7ef5c2d0bf8452a04","target":"graph","created_at":"2026-05-18T02:37:29Z","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"},"paper":{"abstract_excerpt":"Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between 4- and 3- dimensional general relativity can be exploited effectively to analyze issues pertaining to 4 dimensions in terms of the 3-dimensional structures. An example is provided by the asymptotic structure at null infinity: While these space-times fail to be asymptotically flat in 4 dimensions, they can admit a regular completion at null infinity in 3 dime","authors_text":"Abhay Ashtekar, Bernd G. Schmidt, Jiri Bicak","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-08-16T18:00:09Z","title":"Asymptotic Structure of Symmetry Reduced General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9608042","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":"sha256:98c18a9ef10edc639d03e3e1dd252c0e53485f97063b3bab073afcec8ee80572","target":"record","created_at":"2026-05-18T02:37:29Z","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":"670c2b95409d707ff3263614bcb9bdeac12080ad3cb48c4fb955ae9926744724","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-08-16T18:00:09Z","title_canon_sha256":"19ef52f7570131f7899241a0ccca95cc5cf493245ab4e97eb0fc133742513f3e"},"schema_version":"1.0","source":{"id":"gr-qc/9608042","kind":"arxiv","version":1}},"canonical_sha256":"3a34a65a9d31858d1995172d00dba222805ca7c752be80120662d463b10a60aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a34a65a9d31858d1995172d00dba222805ca7c752be80120662d463b10a60aa","first_computed_at":"2026-05-18T02:37:29.635150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:29.635150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K450iuArgfAcK3B8DXaTo9bSetVz4j6RlA2J9rxMvt3VM6+DPeocI86kSdwimZNNeDo5eP5reSxGALCqxizEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:29.635645Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9608042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98c18a9ef10edc639d03e3e1dd252c0e53485f97063b3bab073afcec8ee80572","sha256:01357910abacf92be28cb23f1f4e0da8ce7585bba5ccccb7ef5c2d0bf8452a04"],"state_sha256":"ece8e80bd975c937d94f4e357fa17f5b4221a5a74eb807d95c1d7c94ce70f89e"}