{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:XJM4M3ABTISL65GHO5GSJR53UG","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":"e71948d4ca59cb5f134f951a5e51022fc6e48116ca8c3e0770b07ee1d3a37dad","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-08-21T12:25:16Z","title_canon_sha256":"1c5b9629febba1b7e2356f02f32709313f4b11bbbd96f446c8431916631d36d0"},"schema_version":"1.0","source":{"id":"hep-th/0308142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0308142","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0308142v1","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0308142","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"XJM4M3ABTISL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"XJM4M3ABTISL65GH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"XJM4M3AB","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:17f0ba63bff1e77ff7d14f70c7348dcda36c2e4985f656bf151fad9dc18ff602","target":"graph","created_at":"2026-05-18T01:38:46Z","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"},"paper":{"abstract_excerpt":"We discuss a general procedure for arriving at the Hamilton-Jacobi equation of second-class constrained systems, and illustrate it in terms of a number of examples by explicitely obtaining the respective Hamilton principal function, and verifying that it leads to the correct solution to the Euler-Lagrange equations.","authors_text":"F G Scholtz, K D Rothe","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-08-21T12:25:16Z","title":"On the Hamilton-Jacobi equation for second class constrained systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0308142","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":"sha256:3d05b660e6ae50eb28b791bd8679c758470891cab5e36b4a581493501dba0a2f","target":"record","created_at":"2026-05-18T01:38:46Z","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":"e71948d4ca59cb5f134f951a5e51022fc6e48116ca8c3e0770b07ee1d3a37dad","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-08-21T12:25:16Z","title_canon_sha256":"1c5b9629febba1b7e2356f02f32709313f4b11bbbd96f446c8431916631d36d0"},"schema_version":"1.0","source":{"id":"hep-th/0308142","kind":"arxiv","version":1}},"canonical_sha256":"ba59c66c019a24bf74c7774d24c7bba18b85aad33eaa69283f600483d471d664","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba59c66c019a24bf74c7774d24c7bba18b85aad33eaa69283f600483d471d664","first_computed_at":"2026-05-18T01:38:46.760762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:46.760762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7+8ShgneOAY9zOfHG05iEQXOOuYlqDoCCapnHe04k13DDf3lV2ZAqaXSCPqzIIDBG4BSUO6926M+KaqN/5alCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:46.761261Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0308142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d05b660e6ae50eb28b791bd8679c758470891cab5e36b4a581493501dba0a2f","sha256:17f0ba63bff1e77ff7d14f70c7348dcda36c2e4985f656bf151fad9dc18ff602"],"state_sha256":"a689adf3f030af6f9e02c8f9fa6bc86a96696056eec9d73a1456dd2c86af4833"}