{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:5XOJNV3URJ52Z6WTWDH55ULV7S","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":"65709c044cf30722d1b0aa71ccdbd5e1afa20b75c763f709fb28d93f7e204b08","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2006-04-28T06:14:10Z","title_canon_sha256":"5c6de62a58bf229b2b9b40e7bea44c782e8aee806abe61b8ea8a2f0fbd3321bf"},"schema_version":"1.0","source":{"id":"math/0604621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604621","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604621v1","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604621","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"5XOJNV3URJ52","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5XOJNV3URJ52Z6WT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5XOJNV3U","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:5bd0dad80cdd79d4cb38dae36b983849f2321c199429f5801add1883daf3d3cf","target":"graph","created_at":"2026-05-18T01:09:15Z","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 investigate the problem whether a given multiplier of a tensor product of two algebras belongs to the tensor product of multiplier algebras. We give a characterization of such multipliers in the case when one of the algebras is the algebra of functions on a discrete quantum group.","authors_text":"P. M. So{\\l}tan","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2006-04-28T06:14:10Z","title":"A note on multipliers of discrete quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604621","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:bb2ed590768c4b000109b699c8ea1d423780521ed6bca0c8e552f8e96c73c652","target":"record","created_at":"2026-05-18T01:09:15Z","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":"65709c044cf30722d1b0aa71ccdbd5e1afa20b75c763f709fb28d93f7e204b08","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2006-04-28T06:14:10Z","title_canon_sha256":"5c6de62a58bf229b2b9b40e7bea44c782e8aee806abe61b8ea8a2f0fbd3321bf"},"schema_version":"1.0","source":{"id":"math/0604621","kind":"arxiv","version":1}},"canonical_sha256":"eddc96d7748a7bacfad3b0cfded175fcbcb9665abac6984acdbc02cce0c76c8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eddc96d7748a7bacfad3b0cfded175fcbcb9665abac6984acdbc02cce0c76c8c","first_computed_at":"2026-05-18T01:09:15.580974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:15.580974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebHjqXXE3oUs/HQkZD66YrnSHH/egntjrbjH0ue32Sj5CG5W7oUwQf/VXs2vSBwFpSH06MrKUaBhgXnx82cYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:15.581642Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb2ed590768c4b000109b699c8ea1d423780521ed6bca0c8e552f8e96c73c652","sha256:5bd0dad80cdd79d4cb38dae36b983849f2321c199429f5801add1883daf3d3cf"],"state_sha256":"628c5649cc1f3db545058c444b3ac1c43478a6f67c715dcf6ba22c8d9c83827b"}