{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:3KAXLO65XGQU4DYB4UBAHF2JZE","short_pith_number":"pith:3KAXLO65","canonical_record":{"source":{"id":"2412.03018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-12-04T04:08:51Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"3e7084a45a136821cdbb88d177849d17b70f6dc5ac5d21e1709f084b1098884c","abstract_canon_sha256":"230609e23e602f674211f965b8c339d6a156ebc618f45cd2047adefb11bc441f"},"schema_version":"1.0"},"canonical_sha256":"da8175bbddb9a14e0f01e502039749c92ef9dfcb5a84986d9056b9399fca3511","source":{"kind":"arxiv","id":"2412.03018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03018","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03018v1","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03018","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"3KAXLO65XGQU","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"3KAXLO65XGQU4DYB","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"3KAXLO65","created_at":"2026-07-05T09:44:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:3KAXLO65XGQU4DYB4UBAHF2JZE","target":"record","payload":{"canonical_record":{"source":{"id":"2412.03018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-12-04T04:08:51Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"3e7084a45a136821cdbb88d177849d17b70f6dc5ac5d21e1709f084b1098884c","abstract_canon_sha256":"230609e23e602f674211f965b8c339d6a156ebc618f45cd2047adefb11bc441f"},"schema_version":"1.0"},"canonical_sha256":"da8175bbddb9a14e0f01e502039749c92ef9dfcb5a84986d9056b9399fca3511","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:23.607500Z","signature_b64":"iJOlCcnzigePdWx374hC7h0w8SdfHkN2OvTQP3sD5vZ9ArUwfHmuLoAuPIfQV7wsQmGCeA1Wgo6LwFM7feBsCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da8175bbddb9a14e0f01e502039749c92ef9dfcb5a84986d9056b9399fca3511","last_reissued_at":"2026-07-05T09:44:23.607002Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:23.607002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.03018","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":"2026-07-05T09:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4x6Irf5vE8C3E6+R4JohD456Z4yYCC+5EU1RZyNiqErapz2knMcOOkkwACP91PUe5L9GbKeQ9SAyH8KoWdOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:48:37.011972Z"},"content_sha256":"70f0b61fcb9995882a58328aa2a97a7bec73df84b105ec139187ad178a8cb61d","schema_version":"1.0","event_id":"sha256:70f0b61fcb9995882a58328aa2a97a7bec73df84b105ec139187ad178a8cb61d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:3KAXLO65XGQU4DYB4UBAHF2JZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian-based neural networks for systems under nonholonomic constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"physics.class-ph","authors_text":"A. Srikantha Phani, Ignacio Puiggros T.","submitted_at":"2024-12-04T04:08:51Z","abstract_excerpt":"There has been increasing interest in methodologies that incorporate physics priors into neural network architectures to enhance their modeling capabilities. A family of these methodologies that has gained traction are Hamiltonian neural networks (HNN) and their variations. These architectures explicitly encode Hamiltonian mechanics both in their structure and loss function. Although Hamiltonian systems under nonholonomic constraints are in general not Hamiltonian, it is possible to formulate them in pseudo-Hamiltonian form, equipped with a Lie bracket which is almost Poisson. This opens the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03018","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/2412.03018/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":"2026-07-05T09:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4kcULO7WBoLiSket9wrl7vJSw17gOXE8jtvV9ZGgVLDJZtxAMC0BiGBfy+wXTaL8Vw6W/YUCPDU6Bux+DfY3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:48:37.012521Z"},"content_sha256":"67f9bc8a47e28637be85afd3d4fb4fbca4a7f202fb13c7e7b0cb2e37b9cfac3b","schema_version":"1.0","event_id":"sha256:67f9bc8a47e28637be85afd3d4fb4fbca4a7f202fb13c7e7b0cb2e37b9cfac3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/bundle.json","state_url":"https://pith.science/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/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":"2026-08-06T11:48:37Z","links":{"resolver":"https://pith.science/pith/3KAXLO65XGQU4DYB4UBAHF2JZE","bundle":"https://pith.science/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/bundle.json","state":"https://pith.science/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KAXLO65XGQU4DYB4UBAHF2JZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3KAXLO65XGQU4DYB4UBAHF2JZE","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":"230609e23e602f674211f965b8c339d6a156ebc618f45cd2047adefb11bc441f","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-12-04T04:08:51Z","title_canon_sha256":"3e7084a45a136821cdbb88d177849d17b70f6dc5ac5d21e1709f084b1098884c"},"schema_version":"1.0","source":{"id":"2412.03018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03018","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03018v1","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03018","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"3KAXLO65XGQU","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"3KAXLO65XGQU4DYB","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"3KAXLO65","created_at":"2026-07-05T09:44:23Z"}],"graph_snapshots":[{"event_id":"sha256:67f9bc8a47e28637be85afd3d4fb4fbca4a7f202fb13c7e7b0cb2e37b9cfac3b","target":"graph","created_at":"2026-07-05T09:44:23Z","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/2412.03018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There has been increasing interest in methodologies that incorporate physics priors into neural network architectures to enhance their modeling capabilities. A family of these methodologies that has gained traction are Hamiltonian neural networks (HNN) and their variations. These architectures explicitly encode Hamiltonian mechanics both in their structure and loss function. Although Hamiltonian systems under nonholonomic constraints are in general not Hamiltonian, it is possible to formulate them in pseudo-Hamiltonian form, equipped with a Lie bracket which is almost Poisson. This opens the p","authors_text":"A. Srikantha Phani, Ignacio Puiggros T.","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-12-04T04:08:51Z","title":"Hamiltonian-based neural networks for systems under nonholonomic constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03018","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":"sha256:70f0b61fcb9995882a58328aa2a97a7bec73df84b105ec139187ad178a8cb61d","target":"record","created_at":"2026-07-05T09:44:23Z","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":"230609e23e602f674211f965b8c339d6a156ebc618f45cd2047adefb11bc441f","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-12-04T04:08:51Z","title_canon_sha256":"3e7084a45a136821cdbb88d177849d17b70f6dc5ac5d21e1709f084b1098884c"},"schema_version":"1.0","source":{"id":"2412.03018","kind":"arxiv","version":1}},"canonical_sha256":"da8175bbddb9a14e0f01e502039749c92ef9dfcb5a84986d9056b9399fca3511","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da8175bbddb9a14e0f01e502039749c92ef9dfcb5a84986d9056b9399fca3511","first_computed_at":"2026-07-05T09:44:23.607002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:44:23.607002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJOlCcnzigePdWx374hC7h0w8SdfHkN2OvTQP3sD5vZ9ArUwfHmuLoAuPIfQV7wsQmGCeA1Wgo6LwFM7feBsCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:44:23.607500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.03018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70f0b61fcb9995882a58328aa2a97a7bec73df84b105ec139187ad178a8cb61d","sha256:67f9bc8a47e28637be85afd3d4fb4fbca4a7f202fb13c7e7b0cb2e37b9cfac3b"],"state_sha256":"22d200c6ca408fe2142abb361c4d186a88cb1e9219bf39ce93af2786d306263f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xFHp8Vuk4vD5CprO0xXcTEaDNMcy8UbDAcw6zbqXY8ET+KEkIdDbnJlVMNzpRhqi6qb2xtgATHY+tb8f5x1fDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T11:48:37.015996Z","bundle_sha256":"0fc1de41ef37723ef88002df44b51a7832f9ce654a0c9eda0a822fa92cb2f560"}}