{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MFISUVUO2SUDAFJDOAYXAVTJXC","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":"18f1f02ae8f7f15fb80df7e3a6adaedf7ec10fcdbd0d9660c2b122318b1bd0ce","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-03T20:18:58Z","title_canon_sha256":"83d3175976f84f0c88001a0c9790e58ffba9b6eb022373805ca74a33d41ad5cd"},"schema_version":"1.0","source":{"id":"1104.0425","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0425","created_at":"2026-05-18T02:02:40Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0425v3","created_at":"2026-05-18T02:02:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0425","created_at":"2026-05-18T02:02:40Z"},{"alias_kind":"pith_short_12","alias_value":"MFISUVUO2SUD","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MFISUVUO2SUDAFJD","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MFISUVUO","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:5e89480052b284971a60681a039de82ab1fa8b4bf11b217945825353391996c3","target":"graph","created_at":"2026-05-18T02:02:40Z","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":"On the exterior algebra over the quantum SU(2) coming from the four dimensional bicovariant calculus \\`a la Woronowicz we introduce, using sesquilinear contraction maps, a class of metrics and Hodge duality operators, and compare this formulation with the previous ones presented in the literature.","authors_text":"Alessandro Zampini","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-03T20:18:58Z","title":"(A class of) Hodge duality operators over the quantum SU(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0425","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:bf68f5ab73bf34a52360957becfdc498190ef77cedbf740bb1aa961f3c2eebcb","target":"record","created_at":"2026-05-18T02:02:40Z","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":"18f1f02ae8f7f15fb80df7e3a6adaedf7ec10fcdbd0d9660c2b122318b1bd0ce","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-03T20:18:58Z","title_canon_sha256":"83d3175976f84f0c88001a0c9790e58ffba9b6eb022373805ca74a33d41ad5cd"},"schema_version":"1.0","source":{"id":"1104.0425","kind":"arxiv","version":3}},"canonical_sha256":"61512a568ed4a83015237031705669b894628e13278fb434360a5b0b01e519f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61512a568ed4a83015237031705669b894628e13278fb434360a5b0b01e519f7","first_computed_at":"2026-05-18T02:02:40.937158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:40.937158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Jg3EhETr2d/8NwQagxHzN1EVkdkif2rFkMPJgiQJ3Ud4SKTxY8Jqm2QD90T2eYXBygUYEBAiKa/Ri5KpI1FBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:40.938072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0425","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf68f5ab73bf34a52360957becfdc498190ef77cedbf740bb1aa961f3c2eebcb","sha256:5e89480052b284971a60681a039de82ab1fa8b4bf11b217945825353391996c3"],"state_sha256":"39ab9db3ef37eff076090d1a3273b34fd90d8a688a35cbab491b184b47dbcd99"}