{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:ETFB6GRCXXW7EYX3F5NBQR7WU3","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":"de5e5849e28fb7cef4bb023c9ffb9309304667b0870ad0db56c5b1635d8c31ee","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2001-09-26T09:41:04Z","title_canon_sha256":"f1999637e95233811bf00b307dcd979586e36812f755b96e63c7f9fc20ad2efa"},"schema_version":"1.0","source":{"id":"math-ph/0109028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0109028","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0109028v2","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0109028","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"pith_short_12","alias_value":"ETFB6GRCXXW7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ETFB6GRCXXW7EYX3","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ETFB6GRC","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:107db954f84aca279c051a90905774b07c9879d654794e552af258295148fde5","target":"graph","created_at":"2026-05-18T04:05:16Z","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":"A practical implementation of the non-Abelian Stokes theorem for topologically nontrivial loops (knots) with possible intersections is proposed.","authors_text":"Bogus{\\l}aw Broda, Grzegorz Duniec","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2001-09-26T09:41:04Z","title":"Practical non-Abelian Stokes theorem for topologically nontrivial Wilson loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0109028","kind":"arxiv","version":2},"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":"sha256:15299b5107c8b84face863379382b210a2070fc96bc819fa91a87874cb02a8c3","target":"record","created_at":"2026-05-18T04:05:16Z","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":"de5e5849e28fb7cef4bb023c9ffb9309304667b0870ad0db56c5b1635d8c31ee","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2001-09-26T09:41:04Z","title_canon_sha256":"f1999637e95233811bf00b307dcd979586e36812f755b96e63c7f9fc20ad2efa"},"schema_version":"1.0","source":{"id":"math-ph/0109028","kind":"arxiv","version":2}},"canonical_sha256":"24ca1f1a22bdedf262fb2f5a1847f6a6c0ea9ad1680c342307a76820ebdc6734","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24ca1f1a22bdedf262fb2f5a1847f6a6c0ea9ad1680c342307a76820ebdc6734","first_computed_at":"2026-05-18T04:05:16.098919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:16.098919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eftPjvJXq+ka/4G/5zPu3JQV2bQdWM8stI6rgF/E5DUkrlgcjvwpxaaceD20cu3IHG+osEn21wFHuHnUQ1UXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:16.099555Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0109028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15299b5107c8b84face863379382b210a2070fc96bc819fa91a87874cb02a8c3","sha256:107db954f84aca279c051a90905774b07c9879d654794e552af258295148fde5"],"state_sha256":"d943bc8514c8b92053d635ad8470895c5dc9c120fb8d24f83ffb8cd2f5bb6921"}