{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:C6MDCWWJAQJTLNFY5FHLDEI55S","short_pith_number":"pith:C6MDCWWJ","schema_version":"1.0","canonical_sha256":"1798315ac9041335b4b8e94eb1911decba2aa4b8a101ca49d6cf641c72bf41c0","source":{"kind":"arxiv","id":"1807.07142","version":2},"attestation_state":"computed","paper":{"title":"Efficient Numerical Methods for Gas Network Modeling and Simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Martin Stoll, Peter Benner, Sara Grundel, Yue Qiu","submitted_at":"2018-07-18T20:53:14Z","abstract_excerpt":"We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of the underlying network is represented by a nonlinear differential algebraic equation (DAE). With our modeling, we reduce the number of algebraic constraints, which correspond to the $(2,2)$ block in our semi-explicit DAE model, to the order of junction nodes in the network, where a junction node couples at least three pipelines. We can furthermore ensure that the $(1, 1)$ block of all system matrices including the Jac"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.07142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-18T20:53:14Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c500cbb08e24846712dbe5fdb408233b5859098da7efac6ddbe332e4317d8060","abstract_canon_sha256":"08f8e5b0d890bada3d7593124446b9b895266f2264bb60835f1d66f02674dd9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:12:08.167178Z","signature_b64":"lG4APz+x54XZEtrzQRgTrQVEl5V1ZMFdmcG2thQvna5LmUPi4E9Jb9z1QnkN9oWnkaUL8F2oMudkwUPu8ey6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1798315ac9041335b4b8e94eb1911decba2aa4b8a101ca49d6cf641c72bf41c0","last_reissued_at":"2026-06-04T19:12:08.166641Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:12:08.166641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Numerical Methods for Gas Network Modeling and Simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Martin Stoll, Peter Benner, Sara Grundel, Yue Qiu","submitted_at":"2018-07-18T20:53:14Z","abstract_excerpt":"We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of the underlying network is represented by a nonlinear differential algebraic equation (DAE). With our modeling, we reduce the number of algebraic constraints, which correspond to the $(2,2)$ block in our semi-explicit DAE model, to the order of junction nodes in the network, where a junction node couples at least three pipelines. We can furthermore ensure that the $(1, 1)$ block of all system matrices including the Jac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07142","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.07142/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.07142","created_at":"2026-06-04T19:12:08.166703+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.07142v2","created_at":"2026-06-04T19:12:08.166703+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07142","created_at":"2026-06-04T19:12:08.166703+00:00"},{"alias_kind":"pith_short_12","alias_value":"C6MDCWWJAQJT","created_at":"2026-06-04T19:12:08.166703+00:00"},{"alias_kind":"pith_short_16","alias_value":"C6MDCWWJAQJTLNFY","created_at":"2026-06-04T19:12:08.166703+00:00"},{"alias_kind":"pith_short_8","alias_value":"C6MDCWWJ","created_at":"2026-06-04T19:12:08.166703+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S","json":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S.json","graph_json":"https://pith.science/api/pith-number/C6MDCWWJAQJTLNFY5FHLDEI55S/graph.json","events_json":"https://pith.science/api/pith-number/C6MDCWWJAQJTLNFY5FHLDEI55S/events.json","paper":"https://pith.science/paper/C6MDCWWJ"},"agent_actions":{"view_html":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S","download_json":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S.json","view_paper":"https://pith.science/paper/C6MDCWWJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.07142&json=true","fetch_graph":"https://pith.science/api/pith-number/C6MDCWWJAQJTLNFY5FHLDEI55S/graph.json","fetch_events":"https://pith.science/api/pith-number/C6MDCWWJAQJTLNFY5FHLDEI55S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S/action/storage_attestation","attest_author":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S/action/author_attestation","sign_citation":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S/action/citation_signature","submit_replication":"https://pith.science/pith/C6MDCWWJAQJTLNFY5FHLDEI55S/action/replication_record"}},"created_at":"2026-06-04T19:12:08.166703+00:00","updated_at":"2026-06-04T19:12:08.166703+00:00"}