{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:EH7OL656EUSTTEWHKUS7NXJFRN","short_pith_number":"pith:EH7OL656","schema_version":"1.0","canonical_sha256":"21fee5fbbe25253992c75525f6dd258b54e8fe5ce5b9211748a3643df926459e","source":{"kind":"arxiv","id":"2211.06676","version":1},"attestation_state":"computed","paper":{"title":"Linear port-Hamiltonian DAE systems revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.OC","authors_text":"Arjan van der Schaft, Volker Mehrmann","submitted_at":"2022-11-12T14:28:20Z","abstract_excerpt":"Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential-algebraic equations (DAE) systems. This paper presents extensions of results in Gernandt, Haller & Reis (2021) and Mehrmann & Van der Schaft (2022) in the context of maximally monotone structures and shows that any such space can be written as composition of a Dirac and a resistive structure. Furthermore, appropriate coordinate representations are pre"},"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":"2211.06676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-11-12T14:28:20Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"4bb277d587f0c6f7591b4eec62e9d3fc676096b741a0161b633b79484142bd3a","abstract_canon_sha256":"05bd8dcda294b1cfbe1a2a44ae62688c6b5fde9fb25d7cb9edc97349cbee3d16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:15:27.890754Z","signature_b64":"N22l12M6r7Img0sZVIm676GuOvHx2MHqPYjYviAKBfCJLMi9pb/TmW3V/kH6aiQs+Tt+VNb/rA0gqddz/VV1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21fee5fbbe25253992c75525f6dd258b54e8fe5ce5b9211748a3643df926459e","last_reissued_at":"2026-07-05T05:15:27.890381Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:15:27.890381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear port-Hamiltonian DAE systems revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.OC","authors_text":"Arjan van der Schaft, Volker Mehrmann","submitted_at":"2022-11-12T14:28:20Z","abstract_excerpt":"Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential-algebraic equations (DAE) systems. This paper presents extensions of results in Gernandt, Haller & Reis (2021) and Mehrmann & Van der Schaft (2022) in the context of maximally monotone structures and shows that any such space can be written as composition of a Dirac and a resistive structure. Furthermore, appropriate coordinate representations are pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.06676","kind":"arxiv","version":1},"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/2211.06676/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":"2211.06676","created_at":"2026-07-05T05:15:27.890437+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.06676v1","created_at":"2026-07-05T05:15:27.890437+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.06676","created_at":"2026-07-05T05:15:27.890437+00:00"},{"alias_kind":"pith_short_12","alias_value":"EH7OL656EUST","created_at":"2026-07-05T05:15:27.890437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EH7OL656EUSTTEWH","created_at":"2026-07-05T05:15:27.890437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EH7OL656","created_at":"2026-07-05T05:15:27.890437+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/EH7OL656EUSTTEWHKUS7NXJFRN","json":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN.json","graph_json":"https://pith.science/api/pith-number/EH7OL656EUSTTEWHKUS7NXJFRN/graph.json","events_json":"https://pith.science/api/pith-number/EH7OL656EUSTTEWHKUS7NXJFRN/events.json","paper":"https://pith.science/paper/EH7OL656"},"agent_actions":{"view_html":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN","download_json":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN.json","view_paper":"https://pith.science/paper/EH7OL656","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.06676&json=true","fetch_graph":"https://pith.science/api/pith-number/EH7OL656EUSTTEWHKUS7NXJFRN/graph.json","fetch_events":"https://pith.science/api/pith-number/EH7OL656EUSTTEWHKUS7NXJFRN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN/action/storage_attestation","attest_author":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN/action/author_attestation","sign_citation":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN/action/citation_signature","submit_replication":"https://pith.science/pith/EH7OL656EUSTTEWHKUS7NXJFRN/action/replication_record"}},"created_at":"2026-07-05T05:15:27.890437+00:00","updated_at":"2026-07-05T05:15:27.890437+00:00"}