{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:3Y4W65S4IZLOWWRG257MSFNRN7","short_pith_number":"pith:3Y4W65S4","canonical_record":{"source":{"id":"2309.05778","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-09-11T19:14:11Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c73f16da92fd459e1fe4bff2498367528687d81f99046e43a47f32f485f6373c","abstract_canon_sha256":"252c56e490f3ca1a33e8dd0731f20a50908142c548c7ea8b6ecb56f20ff66222"},"schema_version":"1.0"},"canonical_sha256":"de396f765c4656eb5a26d77ec915b16ff0fe01a869109c8c4edef04666f4ec71","source":{"kind":"arxiv","id":"2309.05778","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.05778","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"arxiv_version","alias_value":"2309.05778v2","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.05778","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_12","alias_value":"3Y4W65S4IZLO","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_16","alias_value":"3Y4W65S4IZLOWWRG","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_8","alias_value":"3Y4W65S4","created_at":"2026-07-05T10:28:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:3Y4W65S4IZLOWWRG257MSFNRN7","target":"record","payload":{"canonical_record":{"source":{"id":"2309.05778","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-09-11T19:14:11Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c73f16da92fd459e1fe4bff2498367528687d81f99046e43a47f32f485f6373c","abstract_canon_sha256":"252c56e490f3ca1a33e8dd0731f20a50908142c548c7ea8b6ecb56f20ff66222"},"schema_version":"1.0"},"canonical_sha256":"de396f765c4656eb5a26d77ec915b16ff0fe01a869109c8c4edef04666f4ec71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:28:12.079050Z","signature_b64":"amlUatVzhw45cuTesY/RCqNszWuOdAfuQulo/Xj789SgXS4iVUwKVWWTzge739kS6nXXizy8MJtHjcLdFjC/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de396f765c4656eb5a26d77ec915b16ff0fe01a869109c8c4edef04666f4ec71","last_reissued_at":"2026-07-05T10:28:12.078136Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:28:12.078136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.05778","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:28:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NWi9CUUCOA3GFw7Z7xWrOBjO8x0voNeKeSn3oZHxaPh/uG6FP6lEQwRb6JPh/s7BdOpz4taFXyg+KGHVKCXkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T00:10:17.205614Z"},"content_sha256":"36336a0eb436066f7f6e1f60486b4455731a1e036a3e83b279cecd3734f58a01","schema_version":"1.0","event_id":"sha256:36336a0eb436066f7f6e1f60486b4455731a1e036a3e83b279cecd3734f58a01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:3Y4W65S4IZLOWWRG257MSFNRN7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy matching in reduced passive and port-Hamiltonian systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Benjamin Unger, Jonas Nicodemus, Paul Schwerdtner, Tobias Holicki","submitted_at":"2023-09-11T19:14:11Z","abstract_excerpt":"It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with the Hamiltonian itself. Thus, we propose to view a pH system either as an enlarged dynamical system with the Hamiltonian as additional output or as two dynamical systems with the input-output and the Hamiltonian dynamic. Our first main result is a structure-preserving Kalman-like decomposition of the enlarged pH system that separates the controllable and zero-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.05778","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/2309.05778/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:28:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKnrQozT2cbCpXQS0aQQ5K9/M32WlBDkQgvR8UafklCbE7ToDv5fDKrgm/5B57jkx31gIG+ENtNMZj5pKPSmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T00:10:17.206126Z"},"content_sha256":"a020b8129247e3182ff9d7d4e051b0e834fcc907cd4d5fc6bc50ef382dc0102f","schema_version":"1.0","event_id":"sha256:a020b8129247e3182ff9d7d4e051b0e834fcc907cd4d5fc6bc50ef382dc0102f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3Y4W65S4IZLOWWRG257MSFNRN7/bundle.json","state_url":"https://pith.science/pith/3Y4W65S4IZLOWWRG257MSFNRN7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3Y4W65S4IZLOWWRG257MSFNRN7/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":"2026-08-23T00:10:17Z","links":{"resolver":"https://pith.science/pith/3Y4W65S4IZLOWWRG257MSFNRN7","bundle":"https://pith.science/pith/3Y4W65S4IZLOWWRG257MSFNRN7/bundle.json","state":"https://pith.science/pith/3Y4W65S4IZLOWWRG257MSFNRN7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3Y4W65S4IZLOWWRG257MSFNRN7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3Y4W65S4IZLOWWRG257MSFNRN7","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":"252c56e490f3ca1a33e8dd0731f20a50908142c548c7ea8b6ecb56f20ff66222","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-09-11T19:14:11Z","title_canon_sha256":"c73f16da92fd459e1fe4bff2498367528687d81f99046e43a47f32f485f6373c"},"schema_version":"1.0","source":{"id":"2309.05778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.05778","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"arxiv_version","alias_value":"2309.05778v2","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.05778","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_12","alias_value":"3Y4W65S4IZLO","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_16","alias_value":"3Y4W65S4IZLOWWRG","created_at":"2026-07-05T10:28:12Z"},{"alias_kind":"pith_short_8","alias_value":"3Y4W65S4","created_at":"2026-07-05T10:28:12Z"}],"graph_snapshots":[{"event_id":"sha256:a020b8129247e3182ff9d7d4e051b0e834fcc907cd4d5fc6bc50ef382dc0102f","target":"graph","created_at":"2026-07-05T10:28:12Z","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/2309.05778/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with the Hamiltonian itself. Thus, we propose to view a pH system either as an enlarged dynamical system with the Hamiltonian as additional output or as two dynamical systems with the input-output and the Hamiltonian dynamic. Our first main result is a structure-preserving Kalman-like decomposition of the enlarged pH system that separates the controllable and zero-","authors_text":"Benjamin Unger, Jonas Nicodemus, Paul Schwerdtner, Tobias Holicki","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-09-11T19:14:11Z","title":"Energy matching in reduced passive and port-Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.05778","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":"sha256:36336a0eb436066f7f6e1f60486b4455731a1e036a3e83b279cecd3734f58a01","target":"record","created_at":"2026-07-05T10:28:12Z","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":"252c56e490f3ca1a33e8dd0731f20a50908142c548c7ea8b6ecb56f20ff66222","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-09-11T19:14:11Z","title_canon_sha256":"c73f16da92fd459e1fe4bff2498367528687d81f99046e43a47f32f485f6373c"},"schema_version":"1.0","source":{"id":"2309.05778","kind":"arxiv","version":2}},"canonical_sha256":"de396f765c4656eb5a26d77ec915b16ff0fe01a869109c8c4edef04666f4ec71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de396f765c4656eb5a26d77ec915b16ff0fe01a869109c8c4edef04666f4ec71","first_computed_at":"2026-07-05T10:28:12.078136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:28:12.078136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"amlUatVzhw45cuTesY/RCqNszWuOdAfuQulo/Xj789SgXS4iVUwKVWWTzge739kS6nXXizy8MJtHjcLdFjC/Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:28:12.079050Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.05778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36336a0eb436066f7f6e1f60486b4455731a1e036a3e83b279cecd3734f58a01","sha256:a020b8129247e3182ff9d7d4e051b0e834fcc907cd4d5fc6bc50ef382dc0102f"],"state_sha256":"e3c0887de4ca45c8b7c7a985bd8815d0183df4b22c7f9bbb23ad151250f58a8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yYWusn0DUFCLh4Is2Osgp/XVd5QSTTD8pDM+mhSZ8lImVg01iu14a9ss++/4HtYVd7klUybdBimhwoDB+Kq9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T00:10:17.211761Z","bundle_sha256":"74d7094d21391f62eb95b192ac665e3d95a55bb6bb82328106b626266da427ae"}}