{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:MZRP6ITY2PCTZFSOWFDMNPAUIG","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":"92812dac717f56b97f9abacb1a715fade37e4a4477eabc65764cce6c5a217bcd","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2008-06-18T17:56:44Z","title_canon_sha256":"aca90260c125799fca73e1c373b9d6decd693317464a4b0f6845017b015dde41"},"schema_version":"1.0","source":{"id":"0806.3057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3057","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3057v2","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3057","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"MZRP6ITY2PCT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"MZRP6ITY2PCTZFSO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"MZRP6ITY","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:58cc8699c4d618666fe18e9fc2325b74a67f62a8817f87834efa1910f6dead00","target":"graph","created_at":"2026-05-18T04:20:59Z","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":"We analyze the wave equation in families of pp-wave geometries developing strong localized scale-invariant singularities in certain limits. For both cases of well-localized pp-waves and the so-called null-cosmologies, we observe an intriguing discrete dependence of the existence of a singular limit on the normalization of the pp-wave profile. We also find restrictive matching conditions relating the geometries before and after the singularity (if a singular limit for the solutions of the wave equation with initial conditions specified away from the near-singular region is assumed to exist).","authors_text":"Oleg Evnin, Timothy Nguyen","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2008-06-18T17:56:44Z","title":"On discrete features of the wave equation in singular pp-wave backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3057","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":"sha256:4f6d24034657ed446b9ae303662791628fdd21bc49c9d9d38c573e4328baf539","target":"record","created_at":"2026-05-18T04:20:59Z","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":"92812dac717f56b97f9abacb1a715fade37e4a4477eabc65764cce6c5a217bcd","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2008-06-18T17:56:44Z","title_canon_sha256":"aca90260c125799fca73e1c373b9d6decd693317464a4b0f6845017b015dde41"},"schema_version":"1.0","source":{"id":"0806.3057","kind":"arxiv","version":2}},"canonical_sha256":"6662ff2278d3c53c964eb146c6bc1441b0b506fed4409fa0860d2a99f669a7b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6662ff2278d3c53c964eb146c6bc1441b0b506fed4409fa0860d2a99f669a7b8","first_computed_at":"2026-05-18T04:20:59.552994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:59.552994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tLQIOjikrBieG1VMLSz1fuJhc7/qdwGOrbqQF4D0RG7V5RYp8wXSdanL4xXJPUXz/j8K++MXaJozl/0fKR27Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:59.553435Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.3057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f6d24034657ed446b9ae303662791628fdd21bc49c9d9d38c573e4328baf539","sha256:58cc8699c4d618666fe18e9fc2325b74a67f62a8817f87834efa1910f6dead00"],"state_sha256":"88862aa179ff57580fd3d057e3b0c79a0ecdaae6790283011c7d515cb2419964"}