{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6SGGAZDCDFRGOWZK72GS4Y5J22","short_pith_number":"pith:6SGGAZDC","canonical_record":{"source":{"id":"2304.06262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-13T04:45:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"65f57ffc13080a9025e11097766240607b9678999768e999dbdac4db3928661c","abstract_canon_sha256":"d358c906f8616f55350da17d47b43b2acac91c7115d59b34a58b248574693c99"},"schema_version":"1.0"},"canonical_sha256":"f48c6064621962675b2afe8d2e63a9d6b0c52dccfc9e223105afd41a8a6526b7","source":{"kind":"arxiv","id":"2304.06262","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.06262","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"arxiv_version","alias_value":"2304.06262v2","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.06262","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_12","alias_value":"6SGGAZDCDFRG","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_16","alias_value":"6SGGAZDCDFRGOWZK","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_8","alias_value":"6SGGAZDC","created_at":"2026-07-05T06:24:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6SGGAZDCDFRGOWZK72GS4Y5J22","target":"record","payload":{"canonical_record":{"source":{"id":"2304.06262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-13T04:45:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"65f57ffc13080a9025e11097766240607b9678999768e999dbdac4db3928661c","abstract_canon_sha256":"d358c906f8616f55350da17d47b43b2acac91c7115d59b34a58b248574693c99"},"schema_version":"1.0"},"canonical_sha256":"f48c6064621962675b2afe8d2e63a9d6b0c52dccfc9e223105afd41a8a6526b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:24:28.993399Z","signature_b64":"yGyk9GKCZXkfN2uppOMVShgvhrGrEV92uWo39MctFrBKs/LmgeWNjS0KKNtNi/RgTntNg6WcrXhWfBz0vzEWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f48c6064621962675b2afe8d2e63a9d6b0c52dccfc9e223105afd41a8a6526b7","last_reissued_at":"2026-07-05T06:24:28.992966Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:24:28.992966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.06262","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":"2026-07-05T06:24:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XgR6ZHsmczv8p0j5h7i7Wwby8uIcbMXGxgzjgbDBOVGjBfGwkjTv8cnocpRtJM0j0T8yvvDKkXH7SBGDV/XMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:01:09.752937Z"},"content_sha256":"7350f8dd30807d1641832f883e7e93b578b6c0ff47ae6e842573abd9841c1ba7","schema_version":"1.0","event_id":"sha256:7350f8dd30807d1641832f883e7e93b578b6c0ff47ae6e842573abd9841c1ba7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6SGGAZDCDFRGOWZK72GS4Y5J22","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Canonical and Noncanonical Hamiltonian Operator Inference","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"cs.LG","authors_text":"Anthony Gruber, Irina Tezaur","submitted_at":"2023-04-13T04:45:25Z","abstract_excerpt":"A method for the nonintrusive and structure-preserving model reduction of canonical and noncanonical Hamiltonian systems is presented. Based on the idea of operator inference, this technique is provably convergent and reduces to a straightforward linear solve given snapshot data and gray-box knowledge of the system Hamiltonian. Examples involving several hyperbolic partial differential equations show that the proposed method yields reduced models which, in addition to being accurate and stable with respect to the addition of basis modes, preserve conserved quantities well outside the range of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.06262","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/2304.06262/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":"2026-07-05T06:24:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3rYI4BQoe/MAK8jU8/xolU5FhNUVDp+pBnwJ5W8pYsXpAeRPr7xwQA1RCYPmfdP/RyxeGpLXlDXQkjYqVijVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:01:09.753323Z"},"content_sha256":"85e68afe6fc5a050280f4a9e9d7d855568f9fdb19fbbf658c4fb2afbd0393737","schema_version":"1.0","event_id":"sha256:85e68afe6fc5a050280f4a9e9d7d855568f9fdb19fbbf658c4fb2afbd0393737"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/bundle.json","state_url":"https://pith.science/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/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":"2026-07-06T17:01:09Z","links":{"resolver":"https://pith.science/pith/6SGGAZDCDFRGOWZK72GS4Y5J22","bundle":"https://pith.science/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/bundle.json","state":"https://pith.science/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6SGGAZDCDFRGOWZK72GS4Y5J22/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6SGGAZDCDFRGOWZK72GS4Y5J22","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":"d358c906f8616f55350da17d47b43b2acac91c7115d59b34a58b248574693c99","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-13T04:45:25Z","title_canon_sha256":"65f57ffc13080a9025e11097766240607b9678999768e999dbdac4db3928661c"},"schema_version":"1.0","source":{"id":"2304.06262","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.06262","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"arxiv_version","alias_value":"2304.06262v2","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.06262","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_12","alias_value":"6SGGAZDCDFRG","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_16","alias_value":"6SGGAZDCDFRGOWZK","created_at":"2026-07-05T06:24:28Z"},{"alias_kind":"pith_short_8","alias_value":"6SGGAZDC","created_at":"2026-07-05T06:24:28Z"}],"graph_snapshots":[{"event_id":"sha256:85e68afe6fc5a050280f4a9e9d7d855568f9fdb19fbbf658c4fb2afbd0393737","target":"graph","created_at":"2026-07-05T06:24:28Z","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/2304.06262/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A method for the nonintrusive and structure-preserving model reduction of canonical and noncanonical Hamiltonian systems is presented. Based on the idea of operator inference, this technique is provably convergent and reduces to a straightforward linear solve given snapshot data and gray-box knowledge of the system Hamiltonian. Examples involving several hyperbolic partial differential equations show that the proposed method yields reduced models which, in addition to being accurate and stable with respect to the addition of basis modes, preserve conserved quantities well outside the range of ","authors_text":"Anthony Gruber, Irina Tezaur","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-13T04:45:25Z","title":"Canonical and Noncanonical Hamiltonian Operator Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.06262","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":"sha256:7350f8dd30807d1641832f883e7e93b578b6c0ff47ae6e842573abd9841c1ba7","target":"record","created_at":"2026-07-05T06:24:28Z","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":"d358c906f8616f55350da17d47b43b2acac91c7115d59b34a58b248574693c99","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-13T04:45:25Z","title_canon_sha256":"65f57ffc13080a9025e11097766240607b9678999768e999dbdac4db3928661c"},"schema_version":"1.0","source":{"id":"2304.06262","kind":"arxiv","version":2}},"canonical_sha256":"f48c6064621962675b2afe8d2e63a9d6b0c52dccfc9e223105afd41a8a6526b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f48c6064621962675b2afe8d2e63a9d6b0c52dccfc9e223105afd41a8a6526b7","first_computed_at":"2026-07-05T06:24:28.992966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:24:28.992966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yGyk9GKCZXkfN2uppOMVShgvhrGrEV92uWo39MctFrBKs/LmgeWNjS0KKNtNi/RgTntNg6WcrXhWfBz0vzEWAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:24:28.993399Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.06262","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7350f8dd30807d1641832f883e7e93b578b6c0ff47ae6e842573abd9841c1ba7","sha256:85e68afe6fc5a050280f4a9e9d7d855568f9fdb19fbbf658c4fb2afbd0393737"],"state_sha256":"8ceec4654cf9be32955b099ed39b3dd477bffeb9e04f8909a3f2f40d284f0e80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KORJiNsucwWSEC/bDYD1J1KITZUiHAFX7DkRjy/MBzQqrOm//ZNEgjgeMDA3WWNA2LPvwykgvYhLLnZOOA3jAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:01:09.755222Z","bundle_sha256":"d5e8d8d9b6a3d5f1497ea31634aedf36818225e98973924c487f24bb695588e7"}}