{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZX5OOH6JN6FLCQLRFRK2BF47V3","short_pith_number":"pith:ZX5OOH6J","canonical_record":{"source":{"id":"2504.12952","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-04-17T13:52:55Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"29593532b3458dac899b468ec534429d1d9fecdd678067464a70466b2068ab5e","abstract_canon_sha256":"a4644cf880efe52d7ede6cebcd31ba45891dde00dde44f8c3f1444147d953f5d"},"schema_version":"1.0"},"canonical_sha256":"cdfae71fc96f8ab141712c55a0979faef6fd8ac4919f85b13d152e19cf485700","source":{"kind":"arxiv","id":"2504.12952","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.12952","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"2504.12952v2","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.12952","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZX5OOH6JN6FL","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZX5OOH6JN6FLCQLR","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZX5OOH6J","created_at":"2026-07-05T11:20:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZX5OOH6JN6FLCQLRFRK2BF47V3","target":"record","payload":{"canonical_record":{"source":{"id":"2504.12952","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-04-17T13:52:55Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"29593532b3458dac899b468ec534429d1d9fecdd678067464a70466b2068ab5e","abstract_canon_sha256":"a4644cf880efe52d7ede6cebcd31ba45891dde00dde44f8c3f1444147d953f5d"},"schema_version":"1.0"},"canonical_sha256":"cdfae71fc96f8ab141712c55a0979faef6fd8ac4919f85b13d152e19cf485700","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:20:52.786240Z","signature_b64":"eXU/SgwskBBtTMZ9gNwsDubTvkArpVqsKuH3SygOWXsD0/Jl7j2jQXyWx4KtfnXILn/JaJ/vHArKpy95AfaWDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdfae71fc96f8ab141712c55a0979faef6fd8ac4919f85b13d152e19cf485700","last_reissued_at":"2026-07-05T11:20:52.785584Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:20:52.785584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.12952","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":"2026-07-05T11:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PIoKWb9aJ1rAQnGyDm+ryxu3dpNY9CXfSC1XuoAqZZfGKt0oNco4kJMJVO0WhANZbQk0G+kBvvB+JPxUrrpJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:48:12.185595Z"},"content_sha256":"c5d70ff0b55dcc8e8bf78a5433b876f8728a6957b0aae0dc260eb6dfe762912d","schema_version":"1.0","event_id":"sha256:c5d70ff0b55dcc8e8bf78a5433b876f8728a6957b0aae0dc260eb6dfe762912d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZX5OOH6JN6FLCQLRFRK2BF47V3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Safe Physics-Informed Machine Learning for Dynamics and Control","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Colin Jones, Draguna Vrabie, Enrique Mallada, Jan Drgona, Mahyar Fazlyab, Rolf Findeisen, Steven L. Brunton, Thomas Beckers, Truong X. Nghiem","submitted_at":"2025-04-17T13:52:55Z","abstract_excerpt":"This tutorial paper focuses on safe physics-informed machine learning in the context of dynamics and control, providing a comprehensive overview of how to integrate physical models and safety guarantees. As machine learning techniques enhance the modeling and control of complex dynamical systems, ensuring safety and stability remains a critical challenge, especially in safety-critical applications like autonomous vehicles, robotics, medical decision-making, and energy systems. We explore various approaches for embedding and ensuring safety constraints, including structural priors, Lyapunov and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.12952","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/2504.12952/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":"2026-07-05T11:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMtJTrnTomPkt2YTdLpZCVKYTWaEoQTIMPSI/hz7VREO+VFf5wOTDMWi1flwQAXzz5bvQECtCJLmK21XXqZ8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:48:12.185925Z"},"content_sha256":"fe9929567f78c4680d3208eb8b3fd60324277a637d14df0144f8832f8039a69e","schema_version":"1.0","event_id":"sha256:fe9929567f78c4680d3208eb8b3fd60324277a637d14df0144f8832f8039a69e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/bundle.json","state_url":"https://pith.science/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/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":"2026-07-31T17:48:12Z","links":{"resolver":"https://pith.science/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3","bundle":"https://pith.science/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/bundle.json","state":"https://pith.science/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZX5OOH6JN6FLCQLRFRK2BF47V3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZX5OOH6JN6FLCQLRFRK2BF47V3","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":"a4644cf880efe52d7ede6cebcd31ba45891dde00dde44f8c3f1444147d953f5d","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-04-17T13:52:55Z","title_canon_sha256":"29593532b3458dac899b468ec534429d1d9fecdd678067464a70466b2068ab5e"},"schema_version":"1.0","source":{"id":"2504.12952","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.12952","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"2504.12952v2","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.12952","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZX5OOH6JN6FL","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZX5OOH6JN6FLCQLR","created_at":"2026-07-05T11:20:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZX5OOH6J","created_at":"2026-07-05T11:20:52Z"}],"graph_snapshots":[{"event_id":"sha256:fe9929567f78c4680d3208eb8b3fd60324277a637d14df0144f8832f8039a69e","target":"graph","created_at":"2026-07-05T11:20:52Z","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/2504.12952/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This tutorial paper focuses on safe physics-informed machine learning in the context of dynamics and control, providing a comprehensive overview of how to integrate physical models and safety guarantees. As machine learning techniques enhance the modeling and control of complex dynamical systems, ensuring safety and stability remains a critical challenge, especially in safety-critical applications like autonomous vehicles, robotics, medical decision-making, and energy systems. We explore various approaches for embedding and ensuring safety constraints, including structural priors, Lyapunov and","authors_text":"Colin Jones, Draguna Vrabie, Enrique Mallada, Jan Drgona, Mahyar Fazlyab, Rolf Findeisen, Steven L. Brunton, Thomas Beckers, Truong X. Nghiem","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-04-17T13:52:55Z","title":"Safe Physics-Informed Machine Learning for Dynamics and Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.12952","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:c5d70ff0b55dcc8e8bf78a5433b876f8728a6957b0aae0dc260eb6dfe762912d","target":"record","created_at":"2026-07-05T11:20:52Z","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":"a4644cf880efe52d7ede6cebcd31ba45891dde00dde44f8c3f1444147d953f5d","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-04-17T13:52:55Z","title_canon_sha256":"29593532b3458dac899b468ec534429d1d9fecdd678067464a70466b2068ab5e"},"schema_version":"1.0","source":{"id":"2504.12952","kind":"arxiv","version":2}},"canonical_sha256":"cdfae71fc96f8ab141712c55a0979faef6fd8ac4919f85b13d152e19cf485700","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdfae71fc96f8ab141712c55a0979faef6fd8ac4919f85b13d152e19cf485700","first_computed_at":"2026-07-05T11:20:52.785584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:20:52.785584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eXU/SgwskBBtTMZ9gNwsDubTvkArpVqsKuH3SygOWXsD0/Jl7j2jQXyWx4KtfnXILn/JaJ/vHArKpy95AfaWDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:20:52.786240Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.12952","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5d70ff0b55dcc8e8bf78a5433b876f8728a6957b0aae0dc260eb6dfe762912d","sha256:fe9929567f78c4680d3208eb8b3fd60324277a637d14df0144f8832f8039a69e"],"state_sha256":"4179cf9b55d1a3f9f26be2572482b327c5341157696e671e0f24c0bf1ffa158e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3W5UBo7QojjjHfXsuF/o+J9yFGR4MdvINEBE+ot/PR+wSvInYIa3Yzra819jCouIcRM1nRXHiGNKqbYZm7GBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T17:48:12.189908Z","bundle_sha256":"0e6c0f628a5711fc115043f4b2b99ed7b7ec7966cc35d3c95643675b1de9d8f6"}}