{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EPSG2IKKOE3ZGTEXBKS4ITMVTT","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":"4fd9663ea926f081628b721d78209136bbf27c16cc234a28c9777c16c41f0138","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-04-30T05:17:49Z","title_canon_sha256":"909c3b48d1510f9954f84c58f367c515f72a2e025788d7b053f7331640ea351b"},"schema_version":"1.0","source":{"id":"1504.08084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.08084","created_at":"2026-05-18T02:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.08084v1","created_at":"2026-05-18T02:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.08084","created_at":"2026-05-18T02:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"EPSG2IKKOE3Z","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EPSG2IKKOE3ZGTEX","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EPSG2IKK","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:6a0c338ae2d9041e7f783a1383f9b7be493f4774c6dcc807c98d333fe9e1ab17","target":"graph","created_at":"2026-05-18T02:17:23Z","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 completely describe the nucleous and the image of the application defined in [8], when all tensor products are over a field. Moreover, we study a relationship with the results obtained in [5].","authors_text":"Wagner Cortes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-04-30T05:17:49Z","title":"A study of Blattner-Montgomery duality in weak Hopf algebras of groupoid algebras type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08084","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:cd4b5a831b3eee5da549a3145d64d03f4951814536facf6a7935c1c47a2425d6","target":"record","created_at":"2026-05-18T02:17:23Z","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":"4fd9663ea926f081628b721d78209136bbf27c16cc234a28c9777c16c41f0138","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-04-30T05:17:49Z","title_canon_sha256":"909c3b48d1510f9954f84c58f367c515f72a2e025788d7b053f7331640ea351b"},"schema_version":"1.0","source":{"id":"1504.08084","kind":"arxiv","version":1}},"canonical_sha256":"23e46d214a7137934c970aa5c44d959ccf34745f27bcc9fcd4c5bc8ecf8eb05a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23e46d214a7137934c970aa5c44d959ccf34745f27bcc9fcd4c5bc8ecf8eb05a","first_computed_at":"2026-05-18T02:17:23.363732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:23.363732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IaygL9HyFAGG0R5MtVVk3ou/ISfuxI0cs8NM2RhVCsxrbEWJCHT07T2JloVn2a615azhpmMGHFCMW5MX1KjYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:23.364470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.08084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd4b5a831b3eee5da549a3145d64d03f4951814536facf6a7935c1c47a2425d6","sha256:6a0c338ae2d9041e7f783a1383f9b7be493f4774c6dcc807c98d333fe9e1ab17"],"state_sha256":"99a0a45e9691685315e46afae8b5989c5791b707cd019c2c9240a9580db8e280"}