{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NNPLGHNTYRBCWS66XH4MGFE7P3","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":"d30f20486483da7ae53792df3c408a71913bb9473ddc192ea09303cb2e0b93fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-02-10T00:28:40Z","title_canon_sha256":"8a79be9d983d6257d1974fa3f576a020deb937809fcd6d8824a2818ac62873fa"},"schema_version":"1.0","source":{"id":"2002.03479","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.03479","created_at":"2026-07-05T08:33:14Z"},{"alias_kind":"arxiv_version","alias_value":"2002.03479v4","created_at":"2026-07-05T08:33:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.03479","created_at":"2026-07-05T08:33:14Z"},{"alias_kind":"pith_short_12","alias_value":"NNPLGHNTYRBC","created_at":"2026-07-05T08:33:14Z"},{"alias_kind":"pith_short_16","alias_value":"NNPLGHNTYRBCWS66","created_at":"2026-07-05T08:33:14Z"},{"alias_kind":"pith_short_8","alias_value":"NNPLGHNT","created_at":"2026-07-05T08:33:14Z"}],"graph_snapshots":[{"event_id":"sha256:cd0389ddabd8f59323f938e92ff0cf90986c5d11d7b6e7d00dd5199169884560","target":"graph","created_at":"2026-07-05T08:33:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2002.03479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we construct a homomorphism from the affine super Yangian $Y_{\\ve_1,\\ve_2}(\\widehat{\\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular $W$-superalgebra $W^{k}(\\mathfrak{gl}(ml|nl),(l^{(m|n)}))$. We also show that the image of this homomorphism is dense provided that $k+(m-n)(l-1)\\neq0$.","authors_text":"Mamoru Ueda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-02-10T00:28:40Z","title":"Affine Super Yangians and Rectangular $W$-superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.03479","kind":"arxiv","version":4},"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":"sha256:3f33eba6aa627bac070931b80a1bc73a6e5fa43dc6bfd23064083b17c929f6d0","target":"record","created_at":"2026-07-05T08:33:14Z","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":"d30f20486483da7ae53792df3c408a71913bb9473ddc192ea09303cb2e0b93fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-02-10T00:28:40Z","title_canon_sha256":"8a79be9d983d6257d1974fa3f576a020deb937809fcd6d8824a2818ac62873fa"},"schema_version":"1.0","source":{"id":"2002.03479","kind":"arxiv","version":4}},"canonical_sha256":"6b5eb31db3c4422b4bdeb9f8c3149f7edce1f8b8b243caf160b0dac2f9dc5388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b5eb31db3c4422b4bdeb9f8c3149f7edce1f8b8b243caf160b0dac2f9dc5388","first_computed_at":"2026-07-05T08:33:14.490539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:33:14.490539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqQyu8P5xlxOaiECQHnmcnncJ6WcTsGZ9T6cp+E9yV4pGeCmZ35WXr9zlH12Z7O0iwhUlwsQM1cu3PZSEcwnDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:33:14.491066Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.03479","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f33eba6aa627bac070931b80a1bc73a6e5fa43dc6bfd23064083b17c929f6d0","sha256:cd0389ddabd8f59323f938e92ff0cf90986c5d11d7b6e7d00dd5199169884560"],"state_sha256":"89a9e1143bcb44ec3ce6417b4b3600c861bf46eb92e4509641cfda07b1e8a7fd"}