{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7DXGGKMCZSRHNQ6QCRD3B6BZDW","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":"f8fdf5c7dfe314a0d05b938e48ed2854ba32093ece102203ecfcb600c172a613","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-14T18:33:43Z","title_canon_sha256":"74295cdf7d0d07319ad89491f92b0f9ad7a52443197ea3c9b8c82d8f72dc7834"},"schema_version":"1.0","source":{"id":"1812.06069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06069","created_at":"2026-07-05T01:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06069v1","created_at":"2026-07-05T01:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06069","created_at":"2026-07-05T01:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"7DXGGKMCZSRH","created_at":"2026-07-05T01:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"7DXGGKMCZSRHNQ6Q","created_at":"2026-07-05T01:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"7DXGGKMC","created_at":"2026-07-05T01:04:58Z"}],"graph_snapshots":[{"event_id":"sha256:d5af7bdf0f596e46ae5f7ed3419d571faffecee677bd1708e0cfabf7dabf774a","target":"graph","created_at":"2026-07-05T01:04:58Z","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/1812.06069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use the method of the Weingarten functions to evaluate SU(N) integrals of the polynomial type. As an application we calculate various one-link integrals for lattice gauge and spin SU(N) theories.","authors_text":"O. Borisenko, S. Voloshyn, V. Chelnokov","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-14T18:33:43Z","title":"SU(N) polynomial integrals and some applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06069","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:d05dab99610ad608230c805f4843d050660057cf98f87018bce5ea4549d2800b","target":"record","created_at":"2026-07-05T01:04:58Z","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":"f8fdf5c7dfe314a0d05b938e48ed2854ba32093ece102203ecfcb600c172a613","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-14T18:33:43Z","title_canon_sha256":"74295cdf7d0d07319ad89491f92b0f9ad7a52443197ea3c9b8c82d8f72dc7834"},"schema_version":"1.0","source":{"id":"1812.06069","kind":"arxiv","version":1}},"canonical_sha256":"f8ee632982cca276c3d01447b0f8391dadd8786f410903e206f1ad78f8e69979","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8ee632982cca276c3d01447b0f8391dadd8786f410903e206f1ad78f8e69979","first_computed_at":"2026-07-05T01:04:58.838707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:04:58.838707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"403qiSstu3dT34yY6T2wb5ggrqaCLmKXvZhR+FwYBcz7zSQYU1T5QTv8IV+4C+dngYsacs1KJEzdGa9oLQztCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:04:58.839180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d05dab99610ad608230c805f4843d050660057cf98f87018bce5ea4549d2800b","sha256:d5af7bdf0f596e46ae5f7ed3419d571faffecee677bd1708e0cfabf7dabf774a"],"state_sha256":"872ca97075550a7c19dc1f8e878768f470405ff22b9ea53c69dddf993a1302dc"}