{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:RTNCV3J3VGDTOVNBBTCFPVJA4O","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":"71a2a4529dfbb82cca47a4c51eff39ce2123b56c66526e9660c6036a8cef101a","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-03-06T16:29:06Z","title_canon_sha256":"157da4d0deaa5e49405cc7d9b372daef8f2b5fe33a0bf1d5b3ef0f6ba98cfcd3"},"schema_version":"1.0","source":{"id":"hep-th/0303044","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0303044","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0303044v2","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0303044","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"RTNCV3J3VGDT","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"RTNCV3J3VGDTOVNB","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"RTNCV3J3","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:04b9542fd66d914e98d4ce84ee1441f2d790413f7492ad15916690a3f7cb7348","target":"graph","created_at":"2026-05-18T02:35:53Z","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":"In an earlier paper, we showed that the causal boundary of any homogeneous plane wave satisfying the null convergence condition consists of a single null curve. In Einstein-Hilbert gravity, this would include any homogeneous plane wave satisfying the weak null energy condition. For conformally flat plane waves such as the Penrose limit of $AdS_5 \\times S^5$, all spacelike curves that reach infinity also end on this boundary and the completion is Hausdorff. However, the more generic case (including, e.g., the Penrose limits of $AdS_4 \\times S^7$ and $AdS_7 \\times S^4$) is more complicated. In o","authors_text":"Donald Marolf, Simon F. Ross","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-03-06T16:29:06Z","title":"Plane waves and spacelike infinity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0303044","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":"sha256:6ea9cf5942367b37b07f990bc429d46ac45deb04f7c4439b371cb56c9801a5eb","target":"record","created_at":"2026-05-18T02:35:53Z","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":"71a2a4529dfbb82cca47a4c51eff39ce2123b56c66526e9660c6036a8cef101a","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-03-06T16:29:06Z","title_canon_sha256":"157da4d0deaa5e49405cc7d9b372daef8f2b5fe33a0bf1d5b3ef0f6ba98cfcd3"},"schema_version":"1.0","source":{"id":"hep-th/0303044","kind":"arxiv","version":2}},"canonical_sha256":"8cda2aed3ba9873755a10cc457d520e38e21377f33b4a185bacd0e1f32bad9ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cda2aed3ba9873755a10cc457d520e38e21377f33b4a185bacd0e1f32bad9ac","first_computed_at":"2026-05-18T02:35:53.045739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:53.045739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eVNqibnv4RX9xMDl1Wh94yFaGtjB4fNH731k+KTu8/KIY2t9k/MZ+U3ubMngmFHT8aU0aoSk0OSikeuoszMUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:53.046288Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0303044","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ea9cf5942367b37b07f990bc429d46ac45deb04f7c4439b371cb56c9801a5eb","sha256:04b9542fd66d914e98d4ce84ee1441f2d790413f7492ad15916690a3f7cb7348"],"state_sha256":"5fc5f961b24c8e9a53b3e434f251a653009c77003ae9fcaec45b943df9e1e08a"}