{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HCTGTZGGXM4EY2RTINWJLAHBNN","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":"e3b648273269ce261652eb2cdf65647b711cc6f336a69f85ac68dad02217bd5a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-30T08:15:11Z","title_canon_sha256":"abb323778ee8753f1626f98a9fd5671af1383d19cd93c09978d7250e5dd476b8"},"schema_version":"1.0","source":{"id":"2104.14823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.14823","created_at":"2026-07-05T02:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"2104.14823v1","created_at":"2026-07-05T02:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.14823","created_at":"2026-07-05T02:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"HCTGTZGGXM4E","created_at":"2026-07-05T02:36:26Z"},{"alias_kind":"pith_short_16","alias_value":"HCTGTZGGXM4EY2RT","created_at":"2026-07-05T02:36:26Z"},{"alias_kind":"pith_short_8","alias_value":"HCTGTZGG","created_at":"2026-07-05T02:36:26Z"}],"graph_snapshots":[{"event_id":"sha256:cb8bdf7f43ae34f71099cc7d821e8ccba63233020086cac7267524afa1ddf1c2","target":"graph","created_at":"2026-07-05T02:36:26Z","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/2104.14823/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order reduction techniques are then applied to the resulting system of coupled ordinary differential equations. On computational examples including in particular the case of shock waves we show the validity of the approach and the performance of the reduced system.","authors_text":"Michael Herty, Sara Grundel","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-30T08:15:11Z","title":"Model-Order Reduction For Hyperbolic Relaxation Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.14823","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:a902d45f85dff82a69c82a1bc83b7f21bd9e314f9a50b27251eaafb51138ce38","target":"record","created_at":"2026-07-05T02:36:26Z","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":"e3b648273269ce261652eb2cdf65647b711cc6f336a69f85ac68dad02217bd5a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-30T08:15:11Z","title_canon_sha256":"abb323778ee8753f1626f98a9fd5671af1383d19cd93c09978d7250e5dd476b8"},"schema_version":"1.0","source":{"id":"2104.14823","kind":"arxiv","version":1}},"canonical_sha256":"38a669e4c6bb384c6a33436c9580e16b420fb56716d9de8f5e4f2164faa1fb7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38a669e4c6bb384c6a33436c9580e16b420fb56716d9de8f5e4f2164faa1fb7e","first_computed_at":"2026-07-05T02:36:26.912205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:36:26.912205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iw5w7DVe/Yq0Ydx+ilPC8Wlzb71kUkcphtmZYvyHxnhWJtcsum7o7O1lzDst+/Kn5ywT6yvD2VzrPFXIpm57Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:36:26.912566Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.14823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a902d45f85dff82a69c82a1bc83b7f21bd9e314f9a50b27251eaafb51138ce38","sha256:cb8bdf7f43ae34f71099cc7d821e8ccba63233020086cac7267524afa1ddf1c2"],"state_sha256":"1edc1bdc272035cd3284c6c6797cc68af715cde880d051c0305f4452d5e472ef"}