{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:E23N7LAVDUVYKDUCV4YAKES3HX","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":"4cf09544586c810e0cce4fc475f31f8cdc0d99810191503c2831fdafe7562a41","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-12T01:50:58Z","title_canon_sha256":"b4ecdf304b1c17dcb0580985b2e033fccdfc156eddef0b82d287f079433ffa63"},"schema_version":"1.0","source":{"id":"hep-th/9712120","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9712120","created_at":"2026-07-04T16:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712120v4","created_at":"2026-07-04T16:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712120","created_at":"2026-07-04T16:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"E23N7LAVDUVY","created_at":"2026-07-04T16:05:48Z"},{"alias_kind":"pith_short_16","alias_value":"E23N7LAVDUVYKDUC","created_at":"2026-07-04T16:05:48Z"},{"alias_kind":"pith_short_8","alias_value":"E23N7LAV","created_at":"2026-07-04T16:05:48Z"}],"graph_snapshots":[{"event_id":"sha256:d47e342b6c1d325cc0781c24bc57700714da7e0c578dc56195bb32d1b943a828","target":"graph","created_at":"2026-07-04T16:05:48Z","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/hep-th/9712120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A simple analytic proof of the formula known as the non-Abelian Stokes theorem is given. It is explicitly shown that the consistency of the formula is guaranteed by the Bianchi identity for the gauge field. An attempt is made to construct the Lagrangian for the gauge field in terms of loop variables.","authors_text":"M. Hirayama, S. Matsubara (Toyama University)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-12-12T01:50:58Z","title":"Stokes Theorem for Loop Variables of Non-Abelian Gauge Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712120","kind":"arxiv","version":4},"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":"sha256:9b113b24d35efed22c73edda3a71530e4510ea9e62107d20f597cc4cb790dfe7","target":"record","created_at":"2026-07-04T16:05:48Z","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":"4cf09544586c810e0cce4fc475f31f8cdc0d99810191503c2831fdafe7562a41","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-12T01:50:58Z","title_canon_sha256":"b4ecdf304b1c17dcb0580985b2e033fccdfc156eddef0b82d287f079433ffa63"},"schema_version":"1.0","source":{"id":"hep-th/9712120","kind":"arxiv","version":4}},"canonical_sha256":"26b6dfac151d2b850e82af3005125b3ddaff66e81ad23d9661c1395a36501e29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b6dfac151d2b850e82af3005125b3ddaff66e81ad23d9661c1395a36501e29","first_computed_at":"2026-07-04T16:05:48.309592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:05:48.309592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Hc0fmjy0mTrlL87KbSIwP4aZi63J5H+dc6/hF29BND0B3sIVHUgJ53fYyU5pvOa85XGnfjHMUZ+IH/aJECgCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:05:48.310095Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9712120","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b113b24d35efed22c73edda3a71530e4510ea9e62107d20f597cc4cb790dfe7","sha256:d47e342b6c1d325cc0781c24bc57700714da7e0c578dc56195bb32d1b943a828"],"state_sha256":"0f31420b737fb9f31569f7b67ea7efd27e8754bf3d5a90a0e68845ffc7b6a48e"}