{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:CHHKUIX7IFJUTLR5LCVTXWT3A7","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":"881117c5eee91d9e992fafc9461befd4dd50a21dfb306f68e91f6cf54fbaee37","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-28T13:03:10Z","title_canon_sha256":"9dd81d3535ee0ebb7df3b59b25c76d031658ff0625f6ed17a44024ef8016fe98"},"schema_version":"1.0","source":{"id":"hep-th/9502164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9502164","created_at":"2026-05-18T01:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9502164v1","created_at":"2026-05-18T01:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9502164","created_at":"2026-05-18T01:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"CHHKUIX7IFJU","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"CHHKUIX7IFJUTLR5","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"CHHKUIX7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b2d2d9e3e4a7fe044b1df33b102b82553a1ac16d8089ed142839a822aa821152","target":"graph","created_at":"2026-05-18T01:06:02Z","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":"The structure constants $N_{\\lambda, \\mu}^{\\mu+\\nu}$ of the $sl_2$ Verlinde algebra as functions of $\\mu$ either vanish or can be expressed after a change of variable as the weight function of an irreducible representation of $sl_2$. We give a similar formula in the $sl_3$ case.","authors_text":"Alexander Varchenko, Giovanni Felder","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-02-28T13:03:10Z","title":"Remarks on the structure constants of the Verlinde algebra associated to $sl_3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502164","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":"sha256:962a503477c852385087caeff3f10aaea046be382ea7bfaf419545a931ae8fba","target":"record","created_at":"2026-05-18T01:06:02Z","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":"881117c5eee91d9e992fafc9461befd4dd50a21dfb306f68e91f6cf54fbaee37","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-28T13:03:10Z","title_canon_sha256":"9dd81d3535ee0ebb7df3b59b25c76d031658ff0625f6ed17a44024ef8016fe98"},"schema_version":"1.0","source":{"id":"hep-th/9502164","kind":"arxiv","version":1}},"canonical_sha256":"11ceaa22ff415349ae3d58ab3bda7b07f237b84bd9d89f35305ba44e2e9c3902","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11ceaa22ff415349ae3d58ab3bda7b07f237b84bd9d89f35305ba44e2e9c3902","first_computed_at":"2026-05-18T01:06:02.871031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:02.871031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vHfXkb6KzFDo/N6A7p1KfQAuE3onzf3kV76DZX+9oGSBwMC1lzlZ6MmDqmgWfmkzQiqTL7PeRs+VOt3IyU9FBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:02.871586Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9502164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:962a503477c852385087caeff3f10aaea046be382ea7bfaf419545a931ae8fba","sha256:b2d2d9e3e4a7fe044b1df33b102b82553a1ac16d8089ed142839a822aa821152"],"state_sha256":"9efa04a5145d4c1e0d4e7ec18c6a280f0af20be2c717eac76b29cb77be24b397"}