{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XN63BMNZDQKAG6KCS3C7AB57PR","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":"f0e71349996919fc46860ee5f9d2a984c3f9296c86ad0903da68c1f7f0b36692","cross_cats_sorted":["math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-10T20:03:12Z","title_canon_sha256":"447501778893273620640aabe01008a3d9d2f649f073e9fdbdb7f6abb70b5bb0"},"schema_version":"1.0","source":{"id":"1110.2187","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2187","created_at":"2026-05-18T02:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2187v2","created_at":"2026-05-18T02:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2187","created_at":"2026-05-18T02:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"XN63BMNZDQKA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XN63BMNZDQKAG6KC","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XN63BMNZ","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:49a8498a9507cb57679d67e0be41bb942872fffb94f610dabeaadbbde6d39975","target":"graph","created_at":"2026-05-18T02:00:14Z","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":"We consider the tensor power $V=(C^N)^{\\otimes n}$ of the vector representation of $gl_N$ and its weight decomposition $V=\\oplus_{\\lambda=(\\lambda_1,...,\\lambda_N)}V[\\lambda]$. For $\\lambda = (\\lambda_1 \\geq ... \\geq \\lambda_N)$, the trivial bundle $V[\\lambda]\\times \\C^n\\to\\C^n$ has a subbundle of q-conformal blocks at level l, where $l = \\lambda_1-\\lambda_N$ if $\\lambda_1-\\lambda_N> 0$ and l=1 if $\\lambda_1-\\lambda_N=0$. We construct a polynomial section $I_\\lambda(z_1,...,z_n,h)$ of the subbundle. The section is the main object of the paper. We identify the section with the generating functi","authors_text":"A. Varchenko, P. Zinn-Justin, R. Rim\\'anyi, V. Tarasov","cross_cats":["math.AG","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-10T20:03:12Z","title":"Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2187","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":"sha256:445909e1a2c43bd01845082554ff32bb184eb3262748ee7eb9805d63a66d96dc","target":"record","created_at":"2026-05-18T02:00:14Z","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":"f0e71349996919fc46860ee5f9d2a984c3f9296c86ad0903da68c1f7f0b36692","cross_cats_sorted":["math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-10T20:03:12Z","title_canon_sha256":"447501778893273620640aabe01008a3d9d2f649f073e9fdbdb7f6abb70b5bb0"},"schema_version":"1.0","source":{"id":"1110.2187","kind":"arxiv","version":2}},"canonical_sha256":"bb7db0b1b91c1403794296c5f007bf7c5b208ab136012c0c2951ba97fca8baa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb7db0b1b91c1403794296c5f007bf7c5b208ab136012c0c2951ba97fca8baa8","first_computed_at":"2026-05-18T02:00:14.051377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:14.051377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lwpKx1AVQxPlEvdVF2KW04mcCodHkvJI8GbMzJ7zde0fsTNPXZ1h4rKjZebxUvl5cdcWY6vQudKVLCk8GaTYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:14.052020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2187","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:445909e1a2c43bd01845082554ff32bb184eb3262748ee7eb9805d63a66d96dc","sha256:49a8498a9507cb57679d67e0be41bb942872fffb94f610dabeaadbbde6d39975"],"state_sha256":"7665bec386e6955b63575f4a85a410706eb83678a28eed53277bc3c3e5b06b44"}