{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7SHQVFD6DOD7HEEA2MN4L524VP","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":"331c887b1eba8bc30f4911d35fc2641ff26e932cf7284da6cc265b8255a93689","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.QA","submitted_at":"2006-01-10T09:51:57Z","title_canon_sha256":"1769a4e4c2b224e5d19e61d68ad38bdb1e15794bced34d4ccaab3aae475b50e1"},"schema_version":"1.0","source":{"id":"math/0601209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601209","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601209v1","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601209","created_at":"2026-05-18T04:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"7SHQVFD6DOD7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7SHQVFD6DOD7HEEA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7SHQVFD6","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:8cb9182d2ab3a8061e45b94bd6ef2affcec5cc112a37f257b94520193e3fc0bb","target":"graph","created_at":"2026-05-18T04:24:52Z","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 construct a pivotal category by a finite presentation and show that it is an integral form of the category of invariant tensors of the spin representation of the quantum group U_q(B_3) over the field of rational functions in q.","authors_text":"Bruce W. Westbury","cross_cats":["math.RT"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2006-01-10T09:51:57Z","title":"Invariant tensors for the spin representation of so(7)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601209","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:bb294578b755bf3437be60ce7e7519488af9c4e39f2cbd24122e7dde935b62af","target":"record","created_at":"2026-05-18T04:24:52Z","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":"331c887b1eba8bc30f4911d35fc2641ff26e932cf7284da6cc265b8255a93689","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.QA","submitted_at":"2006-01-10T09:51:57Z","title_canon_sha256":"1769a4e4c2b224e5d19e61d68ad38bdb1e15794bced34d4ccaab3aae475b50e1"},"schema_version":"1.0","source":{"id":"math/0601209","kind":"arxiv","version":1}},"canonical_sha256":"fc8f0a947e1b87f39080d31bc5f75cabd623dd22211e00d1f47feec3daa4d520","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc8f0a947e1b87f39080d31bc5f75cabd623dd22211e00d1f47feec3daa4d520","first_computed_at":"2026-05-18T04:24:52.154046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:52.154046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E8mOcTLWScPuZ8RznfKxkOfQCH1jueCCAfOz9ccrRAzLBQEv00u1+l+dho/J3H/KG6E6cxQycDjuGfX92+3DBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:52.154489Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb294578b755bf3437be60ce7e7519488af9c4e39f2cbd24122e7dde935b62af","sha256:8cb9182d2ab3a8061e45b94bd6ef2affcec5cc112a37f257b94520193e3fc0bb"],"state_sha256":"5aef1482c6fca5aff6462540b050a91f3af78b31826a402d61baef5a9ce133c6"}