{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SEVXJGXJQKYFYZBU34UJY6M5YS","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":"0392ca2ff276d44fc2c54df2a64b7ecc99d992dade668cc25d3b113352721de3","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-06-19T19:05:49Z","title_canon_sha256":"017b704f0e7f482d2076b2658c8b50bf5ad66d81d6974a38248169ea4cea3f10"},"schema_version":"1.0","source":{"id":"2606.21695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21695","created_at":"2026-06-23T01:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21695v1","created_at":"2026-06-23T01:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21695","created_at":"2026-06-23T01:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"SEVXJGXJQKYF","created_at":"2026-06-23T01:13:19Z"},{"alias_kind":"pith_short_16","alias_value":"SEVXJGXJQKYFYZBU","created_at":"2026-06-23T01:13:19Z"},{"alias_kind":"pith_short_8","alias_value":"SEVXJGXJ","created_at":"2026-06-23T01:13:19Z"}],"graph_snapshots":[{"event_id":"sha256:4342c81bb0ed511492518591df427c88fecd162f9d8a871f4a5adf95e6222133","target":"graph","created_at":"2026-06-23T01:13:19Z","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/2606.21695/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Helmholtz equation governs wave propagation in acoustics, electromagnetics, and seismology, but its indefinite nature makes it difficult to solve with iterative methods. Domain decomposition methods are a natural fit for massively parallel architectures, yet mapping efficient Helmholtz solvers onto modern GPUs remains a challenge. We address both with two key contributions: (1) a block-level domain decomposition scheme, in which each subdomain is assigned to a single thread block and all solves run concurrently in a single kernel launch, and (2) WaveHoltz as the subdomain solver. WaveHoltz","authors_text":"Amit Rotem","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-06-19T19:05:49Z","title":"Efficient Domain Decomposition for the Helmholtz Equation on GPUs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21695","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":"sha256:3f35ba1b5897558f1a6fd125497153a58360784433fa6fc89b0f1b59f836e534","target":"record","created_at":"2026-06-23T01:13:19Z","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":"0392ca2ff276d44fc2c54df2a64b7ecc99d992dade668cc25d3b113352721de3","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-06-19T19:05:49Z","title_canon_sha256":"017b704f0e7f482d2076b2658c8b50bf5ad66d81d6974a38248169ea4cea3f10"},"schema_version":"1.0","source":{"id":"2606.21695","kind":"arxiv","version":1}},"canonical_sha256":"912b749ae982b05c6434df289c799dc4818957a50bd8064b2c4c8370c7606311","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"912b749ae982b05c6434df289c799dc4818957a50bd8064b2c4c8370c7606311","first_computed_at":"2026-06-23T01:13:19.232980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:19.232980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wOL7r0231kLaTglP7x6B/9awCQhWEyyWp7j6j5JOfk8HjyEGqe3HUoHxoKsXE/v/5Rj71G7LjgH+C6W6DXIxBA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:19.233511Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f35ba1b5897558f1a6fd125497153a58360784433fa6fc89b0f1b59f836e534","sha256:4342c81bb0ed511492518591df427c88fecd162f9d8a871f4a5adf95e6222133"],"state_sha256":"490cc1f419f57a41cdad39832d28639285476f55898a851da7676561a103e828"}