{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EAATWD7APNDV7UZSHCOV23ZYHO","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":"2baec0dab3c79fd6d745d6b902285fc3ce04dd7e27c342f2c8e5424d28f8c4da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-23T07:40:23Z","title_canon_sha256":"b7c22547d2fc175f2e7b3014ca41269c0a7490eee6515f5dc7c2817ee534cf10"},"schema_version":"1.0","source":{"id":"2305.13772","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13772","created_at":"2026-07-05T07:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13772v3","created_at":"2026-07-05T07:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13772","created_at":"2026-07-05T07:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"EAATWD7APNDV","created_at":"2026-07-05T07:18:57Z"},{"alias_kind":"pith_short_16","alias_value":"EAATWD7APNDV7UZS","created_at":"2026-07-05T07:18:57Z"},{"alias_kind":"pith_short_8","alias_value":"EAATWD7A","created_at":"2026-07-05T07:18:57Z"}],"graph_snapshots":[{"event_id":"sha256:a58931c1ef0ced15586876640b9015f82c41223fcfe696a76eaa668047259846","target":"graph","created_at":"2026-07-05T07:18:57Z","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/2305.13772/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we extend the previously introduced class of boundary port-Hamiltonian systems to boundary control systems where the variational derivative of the Hamiltonian functional is replaced by a pair of reciprocal differential operators. In physical systems modelling, these differential operators naturally represent the constitutive relations associated with the implicitly defined energy of the system and obey Maxwell's reciprocity conditions. On top of the boundary variables associated with the Stokes-Dirac structure, this leads to additional boundary port variables and to the new notio","authors_text":"Arjan van der Schaft, Bernhard Maschke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-23T07:40:23Z","title":"Linear Boundary Port-Hamiltonian Systems with Implicitly Defined Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13772","kind":"arxiv","version":3},"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":"sha256:70a8f9c2e5eccff82daec7829bf111127fedb255aa9be0400e3e4fe7dd37e581","target":"record","created_at":"2026-07-05T07:18:57Z","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":"2baec0dab3c79fd6d745d6b902285fc3ce04dd7e27c342f2c8e5424d28f8c4da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-23T07:40:23Z","title_canon_sha256":"b7c22547d2fc175f2e7b3014ca41269c0a7490eee6515f5dc7c2817ee534cf10"},"schema_version":"1.0","source":{"id":"2305.13772","kind":"arxiv","version":3}},"canonical_sha256":"20013b0fe07b475fd332389d5d6f383baba677e916ca4342a429cbeba1686e36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20013b0fe07b475fd332389d5d6f383baba677e916ca4342a429cbeba1686e36","first_computed_at":"2026-07-05T07:18:57.936490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:18:57.936490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RgCm/1RhTUqzUTm6TiXm8GcOlA98Rf0IH9lvYFdxt6HaFJ4NZYhGBK36mSWnmBHPK5VzJ0jtGEJjjejw2wMuDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:18:57.936979Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.13772","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70a8f9c2e5eccff82daec7829bf111127fedb255aa9be0400e3e4fe7dd37e581","sha256:a58931c1ef0ced15586876640b9015f82c41223fcfe696a76eaa668047259846"],"state_sha256":"369c7c50922c083afb52377dc216c15914943ecc23bc188395e3ddee25416c73"}