{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EEAWBXT3U6SY22ZGQD7Z2T6QCG","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":"2ca9af45936d1ed07a5d9b8744a642293c947878ce8cdc7599eef0b94e708c0b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-01-02T16:58:21Z","title_canon_sha256":"44413bf0e6258ca28e67a573f5701ddfef97dba3975064b8edc20abeea3ff711"},"schema_version":"1.0","source":{"id":"1001.0319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0319","created_at":"2026-06-03T23:06:32Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0319v1","created_at":"2026-06-03T23:06:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0319","created_at":"2026-06-03T23:06:32Z"},{"alias_kind":"pith_short_12","alias_value":"EEAWBXT3U6SY","created_at":"2026-06-03T23:06:32Z"},{"alias_kind":"pith_short_16","alias_value":"EEAWBXT3U6SY22ZG","created_at":"2026-06-03T23:06:32Z"},{"alias_kind":"pith_short_8","alias_value":"EEAWBXT3","created_at":"2026-06-03T23:06:32Z"}],"graph_snapshots":[{"event_id":"sha256:2b41c11feac25a1f2a7b82268ea67dd62016f084db118db5819e7aa0af7e0f78","target":"graph","created_at":"2026-06-03T23:06:32Z","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/1001.0319/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order form to be reformulated as first-order systems, thereby introducing many additional unknowns. To circumvent this cumbersome and somewhat expensive step, we instead propose a simple PML formulation directly for the wave equation in its second-order form. Inside the absorbing layer, our formulation requires only two auxiliary variables in two spa","authors_text":"Imbo Sim, Marcus J. Grote","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-01-02T16:58:21Z","title":"Efficient PML for the wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0319","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":"sha256:8afac0c5e76f771051561be28f82a96159ffaad906260c0483022f96ca53c75e","target":"record","created_at":"2026-06-03T23:06:32Z","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":"2ca9af45936d1ed07a5d9b8744a642293c947878ce8cdc7599eef0b94e708c0b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-01-02T16:58:21Z","title_canon_sha256":"44413bf0e6258ca28e67a573f5701ddfef97dba3975064b8edc20abeea3ff711"},"schema_version":"1.0","source":{"id":"1001.0319","kind":"arxiv","version":1}},"canonical_sha256":"210160de7ba7a58d6b2680ff9d4fd011b3f6189e822b758da6657bacbfbeb239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"210160de7ba7a58d6b2680ff9d4fd011b3f6189e822b758da6657bacbfbeb239","first_computed_at":"2026-06-03T23:06:32.060682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:32.060682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CUJ0Cn1K+w3dhFDruGUWfU+ne+I87JsOvI9uV101+sPPcyxnLURnP5+zac5R+gzrrscWV8t3RQdGSGEjQ2OjBg==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:32.061311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8afac0c5e76f771051561be28f82a96159ffaad906260c0483022f96ca53c75e","sha256:2b41c11feac25a1f2a7b82268ea67dd62016f084db118db5819e7aa0af7e0f78"],"state_sha256":"ff41cee4755c1baaf7e28c04d187f7f67b2faf2288335a43331eeb3120a2c799"}