{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:FBGPLSKD7MPIU34GDJX2LVD3XK","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":"df46b5e8f9df338c224f3e642d89a6dded3ea3f67671d9a864f898b6a1dd8568","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2007-02-10T04:18:09Z","title_canon_sha256":"ee84dad9c3e3a8781b3ee347e65b2354a0d356052614bc8b3d703c3a23438fff"},"schema_version":"1.0","source":{"id":"math/0702277","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0702277","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"math/0702277v3","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702277","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"FBGPLSKD7MPI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"FBGPLSKD7MPIU34G","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"FBGPLSKD","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:9a9a0386a335e797ce64ec52562b407964ee8b25ce398bc2e6e354e2ea32d500","target":"graph","created_at":"2026-05-18T03:17:57Z","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 give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({\\mathfrak{gl}}_N)$ and the quantum affine algebra $U_q(\\widetilde{{\\mathfrak{gl}}_N})$.\n  The results of the paper were obtained in 1998 and were used in math.QA/9905137, math.QA/0302148, math.QA/0610517.","authors_text":"Alexander Varchenko, Vitaly Tarasov","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2007-02-10T04:18:09Z","title":"Combinatorial Formulae for Nested Bethe Vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702277","kind":"arxiv","version":3},"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":"sha256:51a3e1f19eec7d3d9262bd5957ffcc6ffd2e7b4a0329b1e5d648e8b197b48618","target":"record","created_at":"2026-05-18T03:17:57Z","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":"df46b5e8f9df338c224f3e642d89a6dded3ea3f67671d9a864f898b6a1dd8568","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2007-02-10T04:18:09Z","title_canon_sha256":"ee84dad9c3e3a8781b3ee347e65b2354a0d356052614bc8b3d703c3a23438fff"},"schema_version":"1.0","source":{"id":"math/0702277","kind":"arxiv","version":3}},"canonical_sha256":"284cf5c943fb1e8a6f861a6fa5d47bba91b0a1e9ff0800efc99dc877b66d372b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"284cf5c943fb1e8a6f861a6fa5d47bba91b0a1e9ff0800efc99dc877b66d372b","first_computed_at":"2026-05-18T03:17:57.862939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:57.862939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8loNmZnqMp0+IostLeAmYpUDYzrEcxdQeJTghOxsqAqG19IonSfXfYJ7GK9zsXagaZ7f9lEB7oI1RYZ7TV77BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:57.863696Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0702277","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51a3e1f19eec7d3d9262bd5957ffcc6ffd2e7b4a0329b1e5d648e8b197b48618","sha256:9a9a0386a335e797ce64ec52562b407964ee8b25ce398bc2e6e354e2ea32d500"],"state_sha256":"f76721ff91795b8f8e7dbe6fbb494249a1d2aca974ebcd4a8bc9410dab0ba873"}