{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FRMD32IW5MDUIWHQQTUGFAHGJG","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":"c00cf383b409c5b1053bda3d2ae87aaa60ebb3bab6442842d6a8a583ab6b28f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-11T09:09:10Z","title_canon_sha256":"5eb9b187a358491236d20d8ebcda6b0da13058e372dbb9d17de590ca94da8dc2"},"schema_version":"1.0","source":{"id":"1704.03206","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03206","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03206v1","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03206","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"FRMD32IW5MDU","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FRMD32IW5MDUIWHQ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FRMD32IW","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:869fef396300f85b9fb8ad1dabf2df2fe29eb426a20f3d542f5d3b084d69fa41","target":"graph","created_at":"2026-05-18T00:46:33Z","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 consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline network. Important properties like conservation of mass, dissipation of energy, passivity, existence of steady states, and exponential stability can be preserved by an appropriate semi-discretization in space via a mixed finite element method and also during the further dimension reduction by structure preserving Galerkin projection which is the main focus of this paper. Krylov subspace methods are employed for the cons","authors_text":"Bj\\\"orn Liljegren-Sailer, Herbert Egger, Nicole Marheineke, Thomas Kugler, Volker Mehrmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-11T09:09:10Z","title":"On structure-preserving model reduction for damped wave propagation in transport networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03206","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:d22555b6ebef31a2be113af59bffd0b3f65468858f0a19088eede30342973df5","target":"record","created_at":"2026-05-18T00:46:33Z","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":"c00cf383b409c5b1053bda3d2ae87aaa60ebb3bab6442842d6a8a583ab6b28f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-11T09:09:10Z","title_canon_sha256":"5eb9b187a358491236d20d8ebcda6b0da13058e372dbb9d17de590ca94da8dc2"},"schema_version":"1.0","source":{"id":"1704.03206","kind":"arxiv","version":1}},"canonical_sha256":"2c583de916eb074458f084e86280e649b43e69f6a857220c48af69118b33f60f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c583de916eb074458f084e86280e649b43e69f6a857220c48af69118b33f60f","first_computed_at":"2026-05-18T00:46:33.171630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:33.171630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUx9P+UJ48un8gMP3E3ISUqGnsuQj/BNHaajhE1HdRELXT81l7KPHYGLfOWJ84TaUOlSe9sDZXPme58tXSpADA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:33.172289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d22555b6ebef31a2be113af59bffd0b3f65468858f0a19088eede30342973df5","sha256:869fef396300f85b9fb8ad1dabf2df2fe29eb426a20f3d542f5d3b084d69fa41"],"state_sha256":"3bf9d6d506e429cffb560673b0c9841dbd369e807433af255eea415ddd465bbe"}