{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YLZDYSQDXLSTJVIBXC3MDB4ORI","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":"62839d87ffecadbc85f3987cf1bcd1bd9ecee3830226e1de3b2b158630c5a18f","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2014-11-14T16:30:03Z","title_canon_sha256":"cd479de364f5de60a854d9348bc1cc6bbf642e8e7d1bf74659afa89bde0869a4"},"schema_version":"1.0","source":{"id":"1411.3959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3959","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3959v1","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3959","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"YLZDYSQDXLST","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YLZDYSQDXLSTJVIB","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YLZDYSQD","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:c91c7c168de109dc59af53715f2692ca060fbee555302fbdf48127e2fb612144","target":"graph","created_at":"2026-05-18T01:20:37Z","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":"Recently, M. de Le\\'on el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the current paper is to establish the corresponding Hamilton-Jacobi theory in the Cauchy data space, and relate both approaches.","authors_text":"C\\'edirc M. Campos, David Mart\\'in de Diego, Manuel de Le\\'on, Miguel Vaquero","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2014-11-14T16:30:03Z","title":"Hamilton-Jacobi theory in Cauchy data space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3959","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":"sha256:1bbcd7c5622a7f9f4fb76e29d7c83d890323515400ef0c0da4cc3b1520279cfa","target":"record","created_at":"2026-05-18T01:20:37Z","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":"62839d87ffecadbc85f3987cf1bcd1bd9ecee3830226e1de3b2b158630c5a18f","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2014-11-14T16:30:03Z","title_canon_sha256":"cd479de364f5de60a854d9348bc1cc6bbf642e8e7d1bf74659afa89bde0869a4"},"schema_version":"1.0","source":{"id":"1411.3959","kind":"arxiv","version":1}},"canonical_sha256":"c2f23c4a03bae534d501b8b6c1878e8a0168c14cd8984088753fa194f95e35f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2f23c4a03bae534d501b8b6c1878e8a0168c14cd8984088753fa194f95e35f2","first_computed_at":"2026-05-18T01:20:37.048508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:37.048508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xRVNIyBWY9ityPshZQEsvStYaD0MtDkMp56oFVagUz3tPiSasq14fghYymJ6NwZqp2IXzSCgrIIqH9DCUGwoBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:37.049098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bbcd7c5622a7f9f4fb76e29d7c83d890323515400ef0c0da4cc3b1520279cfa","sha256:c91c7c168de109dc59af53715f2692ca060fbee555302fbdf48127e2fb612144"],"state_sha256":"46f7906ba5591fdefc0d45c14aaab16dbdd41fa9b42544abbb8db950d6a0e0aa"}