{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:624VNPZ5NPHZ4XBOBGGV4HUNBA","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":"349a2f2859d7031adecb15ecf56891862ff76d64ab31b5a0156d52feacb20c9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2015-05-04T23:05:54Z","title_canon_sha256":"ef17146cd8b9d0e336c60da7b38c6a37829584e6890eb811c3d98b6f5f631727"},"schema_version":"1.0","source":{"id":"1505.00838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00838","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00838v2","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00838","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"624VNPZ5NPHZ","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"624VNPZ5NPHZ4XBO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"624VNPZ5","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:3993262a396dbf6313ad2df593e4282b54bb1b56aaa430260bccfac779c93d71","target":"graph","created_at":"2026-05-18T02:44:40Z","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":"Most numerical solvers and libraries nowadays are implemented to use mathematical models created with language-specific built-in data types (e.g. real in Fortran or double in C) and their respective elementary algebra implementations. However, the built-in elementary algebra typically has limited functionality and often restricts the flexibility of mathematical models and the analysis types that can be applied to those models. To overcome this limitation, a number of domain-specific languages such as gPROMS or Modelica with more feature-rich built-in data types have been proposed. In this pape","authors_text":"Slaven Peles, Stefan Klus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2015-05-04T23:05:54Z","title":"Sparse Automatic Differentiation for Complex Networks of Differential-Algebraic Equations Using Abstract Elementary Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00838","kind":"arxiv","version":2},"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":"sha256:9378b0b1488e77e25c15d050e010f5a862e2ff3bfc7697ab6fa57eaa3dbbc9fc","target":"record","created_at":"2026-05-18T02:44:40Z","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":"349a2f2859d7031adecb15ecf56891862ff76d64ab31b5a0156d52feacb20c9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2015-05-04T23:05:54Z","title_canon_sha256":"ef17146cd8b9d0e336c60da7b38c6a37829584e6890eb811c3d98b6f5f631727"},"schema_version":"1.0","source":{"id":"1505.00838","kind":"arxiv","version":2}},"canonical_sha256":"f6b956bf3d6bcf9e5c2e098d5e1e8d082195178204697a92419f9dd8ebe6e387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6b956bf3d6bcf9e5c2e098d5e1e8d082195178204697a92419f9dd8ebe6e387","first_computed_at":"2026-05-18T02:44:40.106386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:40.106386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVqUO1j8mEjCHD/ueI0hBcVSmDIt97CZluVDE2illAXzrSaGlIZHVj+QOQQQcIfJZkfYakb/NZBXrsqfwEtMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:40.106986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9378b0b1488e77e25c15d050e010f5a862e2ff3bfc7697ab6fa57eaa3dbbc9fc","sha256:3993262a396dbf6313ad2df593e4282b54bb1b56aaa430260bccfac779c93d71"],"state_sha256":"28c5a1d0995b4989b53e5292b29f0802fc3b1b7822a90222ab269643d777180a"}