{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CD3PZ4X7Y45K7K42CER3LWASGQ","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":"f00826f39add513ee946691b79a71ff4a29fc41d1597b47a0da5aa508cf12d1c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-05-05T02:37:55Z","title_canon_sha256":"dfab73dcce5a605ba2489c9fab86ebc833de5f70c0886e8146b59a98c241281b"},"schema_version":"1.0","source":{"id":"2505.02321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02321","created_at":"2026-07-05T10:58:35Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02321v1","created_at":"2026-07-05T10:58:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02321","created_at":"2026-07-05T10:58:35Z"},{"alias_kind":"pith_short_12","alias_value":"CD3PZ4X7Y45K","created_at":"2026-07-05T10:58:35Z"},{"alias_kind":"pith_short_16","alias_value":"CD3PZ4X7Y45K7K42","created_at":"2026-07-05T10:58:35Z"},{"alias_kind":"pith_short_8","alias_value":"CD3PZ4X7","created_at":"2026-07-05T10:58:35Z"}],"graph_snapshots":[{"event_id":"sha256:c8f4523222120bd388cb54ed3c1751a14023d8c579bedb2af591a97034bf2448","target":"graph","created_at":"2026-07-05T10:58:35Z","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/2505.02321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Data-driven modeling of physical systems often relies on learning both positions and momenta to accurately capture Hamiltonian dynamics. However, in many practical scenarios, only position measurements are readily available. In this work, we introduce a method to train a standard Hamiltonian Neural Network (HNN) using only position data, enabled by a theoretical result that permits transforming the Hamiltonian $H(q,p)$ into a form $H(q, v)$. Under certain assumptions, namely, an invertible relationship between momentum and velocity, we formally prove the validity of this substitution and demon","authors_text":"Georgios Kementzidis, Haochun Wang, Luoyao Chen, Ruichen Xu, Siyao Wang, Yiwei Shi, Yuefan Deng, Zongyu Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-05-05T02:37:55Z","title":"Velocity-Inferred Hamiltonian Neural Networks: Learning Energy-Conserving Dynamics from Position-Only Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02321","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":"sha256:2a4d866a434e99b3b7ca2955a46d320d79a95ea9db50e26554d3a9b71e8c8d47","target":"record","created_at":"2026-07-05T10:58:35Z","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":"f00826f39add513ee946691b79a71ff4a29fc41d1597b47a0da5aa508cf12d1c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-05-05T02:37:55Z","title_canon_sha256":"dfab73dcce5a605ba2489c9fab86ebc833de5f70c0886e8146b59a98c241281b"},"schema_version":"1.0","source":{"id":"2505.02321","kind":"arxiv","version":1}},"canonical_sha256":"10f6fcf2ffc73aafab9a1123b5d81234324c57c87c6f43a6efcf5abc193ef38b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10f6fcf2ffc73aafab9a1123b5d81234324c57c87c6f43a6efcf5abc193ef38b","first_computed_at":"2026-07-05T10:58:35.409246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:35.409246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnJvtJDDkDMAwMfyra32aGdLpNJ2qA/5B2nGrm8itWkNtEx0jD2K5N/ZjcymlMGnk/BOpTgTtsFDJIiWcTqNDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:35.409682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.02321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a4d866a434e99b3b7ca2955a46d320d79a95ea9db50e26554d3a9b71e8c8d47","sha256:c8f4523222120bd388cb54ed3c1751a14023d8c579bedb2af591a97034bf2448"],"state_sha256":"7ec0468d705d4a1535a9bd44abdcef37b4fd655f35b7cb1df1ab4a605f3a5640"}