{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:J2JFVO6FRS7FKLBJJN26WU7LAE","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":"c28a02f91b4f784ca38366f5295209d57b9d33bef6065f12da0b3fd8f0988b7b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-28T15:52:07Z","title_canon_sha256":"0d07e180b463bfe22e28f8c0d91c472584c1d9f89cebc41c6015b674733c79c5"},"schema_version":"1.0","source":{"id":"2605.30118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.30118","created_at":"2026-05-29T02:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"2605.30118v1","created_at":"2026-05-29T02:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.30118","created_at":"2026-05-29T02:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"J2JFVO6FRS7F","created_at":"2026-05-29T02:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"J2JFVO6FRS7FKLBJ","created_at":"2026-05-29T02:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"J2JFVO6F","created_at":"2026-05-29T02:06:10Z"}],"graph_snapshots":[{"event_id":"sha256:49ada15bdf9cc57c8a4b84c181c9b3c1a2c2dc0692885cd42345b12952711e30","target":"graph","created_at":"2026-05-29T02:06:10Z","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/2605.30118/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized orthogonal decomposition (LOD) methods for the elliptic setting, including recent advancements, and then present a generalization of the strategy to linear hyperbolic multiscale problems. We address the limitations of earlier constructions for the wave equation, which only achieve second-order convergence in space, independent of the chosen polynomial degree. Building on the methodology of enriched corrections recently","authors_text":"Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier, Siyang Wang","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-28T15:52:07Z","title":"Enriched higher-order multiscale approaches with applications to wave propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.30118","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":"sha256:5c424dc8802faf0e340ee2ebf737146e7a01fc343e4bce9a2892c750b3e32079","target":"record","created_at":"2026-05-29T02:06:10Z","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":"c28a02f91b4f784ca38366f5295209d57b9d33bef6065f12da0b3fd8f0988b7b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-28T15:52:07Z","title_canon_sha256":"0d07e180b463bfe22e28f8c0d91c472584c1d9f89cebc41c6015b674733c79c5"},"schema_version":"1.0","source":{"id":"2605.30118","kind":"arxiv","version":1}},"canonical_sha256":"4e925abbc58cbe552c294b75eb53eb010846393807f7b0ed836fc710c0865c2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e925abbc58cbe552c294b75eb53eb010846393807f7b0ed836fc710c0865c2e","first_computed_at":"2026-05-29T02:06:10.293647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:06:10.293647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dlvgVhYeX1dqADtzv9c0sdwTYzY8I6dE08RyTw1ExWhhqc0Vnhxci5112Cz2agEAmnOU/6OTAk17oEEp27nSCA==","signature_status":"signed_v1","signed_at":"2026-05-29T02:06:10.293996Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.30118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c424dc8802faf0e340ee2ebf737146e7a01fc343e4bce9a2892c750b3e32079","sha256:49ada15bdf9cc57c8a4b84c181c9b3c1a2c2dc0692885cd42345b12952711e30"],"state_sha256":"ec5f18f9ad6f69e0cfe519e11d4aee0b8f84a4cde37a17a2762f9af1878e063d"}