{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FKEIUJDWFGP3PNOHKF66ZSQ5EK","short_pith_number":"pith:FKEIUJDW","canonical_record":{"source":{"id":"1808.01845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T12:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"dea982bd3ee00f517d6a84d2c4bd148cf4ce3488d93c2019ef98f7be3914f2bf","abstract_canon_sha256":"66bce61d95428e1a2b3ff04b1ed8d21b29ac3e9e7ba44a939f622e600abf5a6e"},"schema_version":"1.0"},"canonical_sha256":"2a888a2476299fb7b5c7517decca1d2288788c7d5c91580d394252e6ad1e36ec","source":{"kind":"arxiv","id":"1808.01845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01845","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01845v1","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01845","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"FKEIUJDWFGP3","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKEIUJDWFGP3PNOH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKEIUJDW","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FKEIUJDWFGP3PNOHKF66ZSQ5EK","target":"record","payload":{"canonical_record":{"source":{"id":"1808.01845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T12:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"dea982bd3ee00f517d6a84d2c4bd148cf4ce3488d93c2019ef98f7be3914f2bf","abstract_canon_sha256":"66bce61d95428e1a2b3ff04b1ed8d21b29ac3e9e7ba44a939f622e600abf5a6e"},"schema_version":"1.0"},"canonical_sha256":"2a888a2476299fb7b5c7517decca1d2288788c7d5c91580d394252e6ad1e36ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:49.483139Z","signature_b64":"LP/5BI3Bb/KQwAInJvoMtbtgbNtROSkggS7y4wr1YhGVrPbf7SsQY4VTmDlzUNefpBtYG/GeSMloNzFAdF3HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a888a2476299fb7b5c7517decca1d2288788c7d5c91580d394252e6ad1e36ec","last_reissued_at":"2026-05-18T00:08:49.482633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:49.482633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.01845","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrYvsRJyDlq42S1/orvCjvvqPCiaE9/LuvldMc86Al2C8DYVTOxqHlm2c/JgvP2f6cSW8NyK9kTUS2XG0KVPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:58:53.860499Z"},"content_sha256":"dc151f68f2f59ac8fddc14ea1051254a65fcc5a081357f0577e9c73025478bbf","schema_version":"1.0","event_id":"sha256:dc151f68f2f59ac8fddc14ea1051254a65fcc5a081357f0577e9c73025478bbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FKEIUJDWFGP3PNOHKF66ZSQ5EK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Port-Hamiltonian DAE Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Arjan van der Schaft, Bernhard Maschke","submitted_at":"2018-08-06T12:26:03Z","abstract_excerpt":"Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage by a general Lagrangian subspace. This leads to a new class of algebraic constraints in physical systems modeling, and to an interesting class of DAE systems. It is shown how constant Dirac structures and Lagrangian subspaces allow for similar representations, and how this leads to descriptions of the DAE systems entailing generalized Lagrange multipliers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01845","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cbGRlDLKECE4kPQy7akn+q83irvmiON7NwdPEqSb9VuyWlsK7BFIQVXtXZJzfeszr2iRm5PSGd8FA9udx0AyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T08:58:53.860873Z"},"content_sha256":"4a8c70fbed97750f58833ee61d0046c46230b25dc0daad0fd99b878a14e81e2f","schema_version":"1.0","event_id":"sha256:4a8c70fbed97750f58833ee61d0046c46230b25dc0daad0fd99b878a14e81e2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/bundle.json","state_url":"https://pith.science/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T08:58:53Z","links":{"resolver":"https://pith.science/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK","bundle":"https://pith.science/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/bundle.json","state":"https://pith.science/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKEIUJDWFGP3PNOHKF66ZSQ5EK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FKEIUJDWFGP3PNOHKF66ZSQ5EK","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":"66bce61d95428e1a2b3ff04b1ed8d21b29ac3e9e7ba44a939f622e600abf5a6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T12:26:03Z","title_canon_sha256":"dea982bd3ee00f517d6a84d2c4bd148cf4ce3488d93c2019ef98f7be3914f2bf"},"schema_version":"1.0","source":{"id":"1808.01845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01845","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01845v1","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01845","created_at":"2026-05-18T00:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"FKEIUJDWFGP3","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKEIUJDWFGP3PNOH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKEIUJDW","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:4a8c70fbed97750f58833ee61d0046c46230b25dc0daad0fd99b878a14e81e2f","target":"graph","created_at":"2026-05-18T00:08:49Z","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":"Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage by a general Lagrangian subspace. This leads to a new class of algebraic constraints in physical systems modeling, and to an interesting class of DAE systems. It is shown how constant Dirac structures and Lagrangian subspaces allow for similar representations, and how this leads to descriptions of the DAE systems entailing generalized Lagrange multipliers.","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":"2018-08-06T12:26:03Z","title":"Generalized Port-Hamiltonian DAE Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01845","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:dc151f68f2f59ac8fddc14ea1051254a65fcc5a081357f0577e9c73025478bbf","target":"record","created_at":"2026-05-18T00:08:49Z","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":"66bce61d95428e1a2b3ff04b1ed8d21b29ac3e9e7ba44a939f622e600abf5a6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-06T12:26:03Z","title_canon_sha256":"dea982bd3ee00f517d6a84d2c4bd148cf4ce3488d93c2019ef98f7be3914f2bf"},"schema_version":"1.0","source":{"id":"1808.01845","kind":"arxiv","version":1}},"canonical_sha256":"2a888a2476299fb7b5c7517decca1d2288788c7d5c91580d394252e6ad1e36ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a888a2476299fb7b5c7517decca1d2288788c7d5c91580d394252e6ad1e36ec","first_computed_at":"2026-05-18T00:08:49.482633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:49.482633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LP/5BI3Bb/KQwAInJvoMtbtgbNtROSkggS7y4wr1YhGVrPbf7SsQY4VTmDlzUNefpBtYG/GeSMloNzFAdF3HAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:49.483139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc151f68f2f59ac8fddc14ea1051254a65fcc5a081357f0577e9c73025478bbf","sha256:4a8c70fbed97750f58833ee61d0046c46230b25dc0daad0fd99b878a14e81e2f"],"state_sha256":"e2590a651359cded9ac8eaf1ed3b3cfe290c3cdf4e4522783c0e671737539a38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S+1NnK8BvyDXIYw1idDLEgEGWBJiK9T7g/eIVwe71a3IhmIzCRXaEtz0JY4xz6AKD7Hp9irSyG0MpwTyGlLkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T08:58:53.862716Z","bundle_sha256":"5d1c058e9c59928721f6482b2b52cbe41d4f048defc175595e4f8abb4c0e0b71"}}