{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:N3TBX3USC6KZWEDOONRSBIZCT3","short_pith_number":"pith:N3TBX3US","canonical_record":{"source":{"id":"2209.07646","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-09-15T23:11:11Z","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"title_canon_sha256":"b54680ba7eab40a285d718b8e2bcb387076cbfbf19ecd1bcbcbe3978960eb782","abstract_canon_sha256":"fcd0fccdf1dfda3d0ad41d229f303d6c36d5d776d8de7d14cd168a0d879d1584"},"schema_version":"1.0"},"canonical_sha256":"6ee61bee9217959b106e736320a3229ec8ecf07dff98977f2d6aec097dd0e67a","source":{"kind":"arxiv","id":"2209.07646","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.07646","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"2209.07646v1","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.07646","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"N3TBX3USC6KZ","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_16","alias_value":"N3TBX3USC6KZWEDO","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_8","alias_value":"N3TBX3US","created_at":"2026-07-05T04:58:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:N3TBX3USC6KZWEDOONRSBIZCT3","target":"record","payload":{"canonical_record":{"source":{"id":"2209.07646","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-09-15T23:11:11Z","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"title_canon_sha256":"b54680ba7eab40a285d718b8e2bcb387076cbfbf19ecd1bcbcbe3978960eb782","abstract_canon_sha256":"fcd0fccdf1dfda3d0ad41d229f303d6c36d5d776d8de7d14cd168a0d879d1584"},"schema_version":"1.0"},"canonical_sha256":"6ee61bee9217959b106e736320a3229ec8ecf07dff98977f2d6aec097dd0e67a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:58:08.226185Z","signature_b64":"bQj+qj1Zjc0TFkA4k6UerzHcHUU9lv3frFVGxOgzSDgC2/LPDcFZLIeA+8v2g8krr09YHpQbT6UC0D9rK4pKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ee61bee9217959b106e736320a3229ec8ecf07dff98977f2d6aec097dd0e67a","last_reissued_at":"2026-07-05T04:58:08.225796Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:58:08.225796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.07646","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":"2026-07-05T04:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bky6Uth59GSFOqq+m8Z3HfS2iIP4Ax5/jEPko1aohVDgzkNlpf6p4Bkc0IhHYr4/JImcX8yuj9Hn/0erzjsTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:06:16.381875Z"},"content_sha256":"3b1a318ab72a575fd85f64f1dddf1ecd79794e470c9d7d4932689f9aa1b9e070","schema_version":"1.0","event_id":"sha256:3b1a318ab72a575fd85f64f1dddf1ecd79794e470c9d7d4932689f9aa1b9e070"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:N3TBX3USC6KZWEDOONRSBIZCT3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian Identification of Nonseparable Hamiltonian Systems Using Stochastic Dynamic Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"primary_cat":"math.DS","authors_text":"Alex A. Gorodetsky, Boris Kramer, Harsh Sharma, Nicholas Galioto","submitted_at":"2022-09-15T23:11:11Z","abstract_excerpt":"This paper proposes a probabilistic Bayesian formulation for system identification (ID) and estimation of nonseparable Hamiltonian systems using stochastic dynamic models. Nonseparable Hamiltonian systems arise in models from diverse science and engineering applications such as astrophysics, robotics, vortex dynamics, charged particle dynamics, and quantum mechanics. The numerical experiments demonstrate that the proposed method recovers dynamical systems with higher accuracy and reduced predictive uncertainty compared to state-of-the-art approaches. The results further show that accurate pred"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.07646","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/2209.07646/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":"2026-07-05T04:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PrCmqTk5vpI4o2Jrdiw0/6Whq1zyc7bY1SNrs3BX2mhz6rF8239yTp8dMEhewJbEUD48eu4KrJ/T7ivv58P/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:06:16.382274Z"},"content_sha256":"ef9eecf8b923e3257be2d829bef30ba15e04f736e6adc0f08ed71f7f74150207","schema_version":"1.0","event_id":"sha256:ef9eecf8b923e3257be2d829bef30ba15e04f736e6adc0f08ed71f7f74150207"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3TBX3USC6KZWEDOONRSBIZCT3/bundle.json","state_url":"https://pith.science/pith/N3TBX3USC6KZWEDOONRSBIZCT3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3TBX3USC6KZWEDOONRSBIZCT3/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":"2026-08-06T01:06:16Z","links":{"resolver":"https://pith.science/pith/N3TBX3USC6KZWEDOONRSBIZCT3","bundle":"https://pith.science/pith/N3TBX3USC6KZWEDOONRSBIZCT3/bundle.json","state":"https://pith.science/pith/N3TBX3USC6KZWEDOONRSBIZCT3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3TBX3USC6KZWEDOONRSBIZCT3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:N3TBX3USC6KZWEDOONRSBIZCT3","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":"fcd0fccdf1dfda3d0ad41d229f303d6c36d5d776d8de7d14cd168a0d879d1584","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-09-15T23:11:11Z","title_canon_sha256":"b54680ba7eab40a285d718b8e2bcb387076cbfbf19ecd1bcbcbe3978960eb782"},"schema_version":"1.0","source":{"id":"2209.07646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.07646","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"2209.07646v1","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.07646","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"N3TBX3USC6KZ","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_16","alias_value":"N3TBX3USC6KZWEDO","created_at":"2026-07-05T04:58:08Z"},{"alias_kind":"pith_short_8","alias_value":"N3TBX3US","created_at":"2026-07-05T04:58:08Z"}],"graph_snapshots":[{"event_id":"sha256:ef9eecf8b923e3257be2d829bef30ba15e04f736e6adc0f08ed71f7f74150207","target":"graph","created_at":"2026-07-05T04:58:08Z","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/2209.07646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a probabilistic Bayesian formulation for system identification (ID) and estimation of nonseparable Hamiltonian systems using stochastic dynamic models. Nonseparable Hamiltonian systems arise in models from diverse science and engineering applications such as astrophysics, robotics, vortex dynamics, charged particle dynamics, and quantum mechanics. The numerical experiments demonstrate that the proposed method recovers dynamical systems with higher accuracy and reduced predictive uncertainty compared to state-of-the-art approaches. The results further show that accurate pred","authors_text":"Alex A. Gorodetsky, Boris Kramer, Harsh Sharma, Nicholas Galioto","cross_cats":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-09-15T23:11:11Z","title":"Bayesian Identification of Nonseparable Hamiltonian Systems Using Stochastic Dynamic Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.07646","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":"sha256:3b1a318ab72a575fd85f64f1dddf1ecd79794e470c9d7d4932689f9aa1b9e070","target":"record","created_at":"2026-07-05T04:58:08Z","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":"fcd0fccdf1dfda3d0ad41d229f303d6c36d5d776d8de7d14cd168a0d879d1584","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","physics.comp-ph","physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-09-15T23:11:11Z","title_canon_sha256":"b54680ba7eab40a285d718b8e2bcb387076cbfbf19ecd1bcbcbe3978960eb782"},"schema_version":"1.0","source":{"id":"2209.07646","kind":"arxiv","version":1}},"canonical_sha256":"6ee61bee9217959b106e736320a3229ec8ecf07dff98977f2d6aec097dd0e67a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ee61bee9217959b106e736320a3229ec8ecf07dff98977f2d6aec097dd0e67a","first_computed_at":"2026-07-05T04:58:08.225796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:58:08.225796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bQj+qj1Zjc0TFkA4k6UerzHcHUU9lv3frFVGxOgzSDgC2/LPDcFZLIeA+8v2g8krr09YHpQbT6UC0D9rK4pKBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:58:08.226185Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.07646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b1a318ab72a575fd85f64f1dddf1ecd79794e470c9d7d4932689f9aa1b9e070","sha256:ef9eecf8b923e3257be2d829bef30ba15e04f736e6adc0f08ed71f7f74150207"],"state_sha256":"c451ae4329f88866e9025954b384ffc6780c09f4a8ebc336792baebfc38d0ea3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EDflYmCjc0gtd9kX0DxhWg1tOzExmd4Ayqt4klcJ91HrRPgFjNMVun+WxCNBseVypPpTU71YVK3ck0WXsj85BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T01:06:16.385471Z","bundle_sha256":"eaf57ba15f6de24710543d02853a1e83a400d53316d51db40246682f60d51186"}}