{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:N2I5NKEFZB763XDIL4MIDY4VNH","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":"f3ccc58b34b21a81bfb526652f2764dc3035a5e7241e4a458e1bc84e59a77d2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-23T12:04:12Z","title_canon_sha256":"503014e4caf57677946d6b524310c9cfd1e68ceb54264045cbe042976fb26a53"},"schema_version":"1.0","source":{"id":"1904.10264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10264","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10264v1","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10264","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_12","alias_value":"N2I5NKEFZB76","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_16","alias_value":"N2I5NKEFZB763XDI","created_at":"2026-07-05T00:56:25Z"},{"alias_kind":"pith_short_8","alias_value":"N2I5NKEF","created_at":"2026-07-05T00:56:25Z"}],"graph_snapshots":[{"event_id":"sha256:727f4359e3193320e5e787243d7500cb55f024cd5cb945575f912b843f5ec6b6","target":"graph","created_at":"2026-07-05T00:56:25Z","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/1904.10264/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, M. de Le\\'on el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a special kind of field theories which are gauge field theories. The Hamilton-Jacobi theory for this kind of fields is shown.","authors_text":"Manuel de Le\\'on, Marcin Zaj\\k{a}c","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-23T12:04:12Z","title":"Hamilton-Jacobi theory for gauge field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10264","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":"sha256:7539641ba9597eae47e7c1a61b6f853d58c6bd1fdf318e68985ad1b7c9bf2c20","target":"record","created_at":"2026-07-05T00:56:25Z","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":"f3ccc58b34b21a81bfb526652f2764dc3035a5e7241e4a458e1bc84e59a77d2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-23T12:04:12Z","title_canon_sha256":"503014e4caf57677946d6b524310c9cfd1e68ceb54264045cbe042976fb26a53"},"schema_version":"1.0","source":{"id":"1904.10264","kind":"arxiv","version":1}},"canonical_sha256":"6e91d6a885c87feddc685f1881e39569e693d2072f65f1a22e6259428eb82164","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e91d6a885c87feddc685f1881e39569e693d2072f65f1a22e6259428eb82164","first_computed_at":"2026-07-05T00:56:25.051561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:56:25.051561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ln815+Gtlkngy3pteA+H4HA41/dTJxN95bl7iYN6dtd6/1aqR05ufDBqH9NzrOnCM1Akdlt2UxT46Pmcsce3Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T00:56:25.052009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.10264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7539641ba9597eae47e7c1a61b6f853d58c6bd1fdf318e68985ad1b7c9bf2c20","sha256:727f4359e3193320e5e787243d7500cb55f024cd5cb945575f912b843f5ec6b6"],"state_sha256":"758ce986b43bb1613e5f6136620991a9a1597daf665844dee2b236973a6e0f9f"}