{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GK3E3SYK36Y7MFWYSNIWIF7ATV","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":"fc3d4f771d94b53ae7030193b930b471d6e7f668a2f5fe8d08cde3ae59e329ce","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2001-06-07T15:45:37Z","title_canon_sha256":"039d17e8727092ecb327205418e589c1d7844d152ff328743f7b874e4a786fc5"},"schema_version":"1.0","source":{"id":"gr-qc/0106026","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0106026","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0106026v2","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0106026","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"GK3E3SYK36Y7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GK3E3SYK36Y7MFWY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GK3E3SYK","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:d5d851b0c3f7f68ea6d56d282e8a9188557f9d17b29234f46117409cc30dd82b","target":"graph","created_at":"2026-05-18T04:23:47Z","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 investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a set of six wave equations. The results are used to formulate computational algorithms for Cauchy evolution in a 3-dimensional bounded domain. Numerical codes based upon these algorithms are shown to satisfy tests of robust stability for random constraint violating initial data and random boundary data; and shown to give excellent performance for the evolution ","authors_text":"Bela Szilagyi, Bernd Schmidt, Jeffrey Winicour","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2001-06-07T15:45:37Z","title":"Boundary conditions in linearized harmonic gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0106026","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":"sha256:15da567eb8dd2d81f4329f7dee74915ece047b7403d700b21140df5c71e8a153","target":"record","created_at":"2026-05-18T04:23:47Z","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":"fc3d4f771d94b53ae7030193b930b471d6e7f668a2f5fe8d08cde3ae59e329ce","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2001-06-07T15:45:37Z","title_canon_sha256":"039d17e8727092ecb327205418e589c1d7844d152ff328743f7b874e4a786fc5"},"schema_version":"1.0","source":{"id":"gr-qc/0106026","kind":"arxiv","version":2}},"canonical_sha256":"32b64dcb0adfb1f616d893516417e09d7de5b2e3d047184e4b0d61aaa0685c0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32b64dcb0adfb1f616d893516417e09d7de5b2e3d047184e4b0d61aaa0685c0b","first_computed_at":"2026-05-18T04:23:47.014788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:47.014788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CujlJSjuvNOdvpd+PmTmiGSeIG12eyN2WQ6EB1hXkwJrRbik3edziOUNibrO+phy5QEJhiP3CatmPyJweS32Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:47.015500Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0106026","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15da567eb8dd2d81f4329f7dee74915ece047b7403d700b21140df5c71e8a153","sha256:d5d851b0c3f7f68ea6d56d282e8a9188557f9d17b29234f46117409cc30dd82b"],"state_sha256":"625db7f425dc98d9c85e0658535ec306c86e0360d43237fe8f811d47dc33dd49"}