{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BAUKNMD7LJLA3VMUI6KNM23DE4","short_pith_number":"pith:BAUKNMD7","schema_version":"1.0","canonical_sha256":"0828a6b07f5a560dd5944794d66b63270775ea6e897b1024388ddc88fe355f67","source":{"kind":"arxiv","id":"1807.11304","version":1},"attestation_state":"computed","paper":{"title":"Twin-plane-partitions and $\\mathcal{N}=2$ affine Yangian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cheng Peng, Matthias R. Gaberdiel, Wei Li","submitted_at":"2018-07-30T12:07:18Z","abstract_excerpt":"The universal enveloping algebra of ${\\cal W}_{1+\\infty}$ is isomorphic to the affine Yangian of $\\mathfrak{gl}_1$. We study the ${\\cal N}=2$ supersymmetric version of this correspondence, and identify the full set of defining relations of the supersymmetric affine Yangian. These relations can be deduced by demanding that the algebra has a representation on twin-plane-partitions, which we construct by gluing pairs of plane partitions. We define the action of the algebra on these twin-plane-partitions explicitly."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.11304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T12:07:18Z","cross_cats_sorted":[],"title_canon_sha256":"6428cee3fd7b5fcb9b56a21d62b65b62f0f03229840b2bc08e397d814e0c3ce5","abstract_canon_sha256":"bac186d076dc5ef26e379e4f2bfff35ded35db7a01071d5fe3f2f8075743ae3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:40.659700Z","signature_b64":"zY2S+3exvp/wjCM6A1sTGZSCif83vY5WwvNsLgzmWbs7v0iY15OyUMbz6F1wNdDHc5r8qnGYr6XYfJNq8H2DCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0828a6b07f5a560dd5944794d66b63270775ea6e897b1024388ddc88fe355f67","last_reissued_at":"2026-05-17T23:57:40.659238Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:40.659238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twin-plane-partitions and $\\mathcal{N}=2$ affine Yangian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cheng Peng, Matthias R. Gaberdiel, Wei Li","submitted_at":"2018-07-30T12:07:18Z","abstract_excerpt":"The universal enveloping algebra of ${\\cal W}_{1+\\infty}$ is isomorphic to the affine Yangian of $\\mathfrak{gl}_1$. We study the ${\\cal N}=2$ supersymmetric version of this correspondence, and identify the full set of defining relations of the supersymmetric affine Yangian. These relations can be deduced by demanding that the algebra has a representation on twin-plane-partitions, which we construct by gluing pairs of plane partitions. We define the action of the algebra on these twin-plane-partitions explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11304","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.11304","created_at":"2026-05-17T23:57:40.659293+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.11304v1","created_at":"2026-05-17T23:57:40.659293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11304","created_at":"2026-05-17T23:57:40.659293+00:00"},{"alias_kind":"pith_short_12","alias_value":"BAUKNMD7LJLA","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"BAUKNMD7LJLA3VMU","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"BAUKNMD7","created_at":"2026-05-18T12:32:13.499390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4","json":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4.json","graph_json":"https://pith.science/api/pith-number/BAUKNMD7LJLA3VMUI6KNM23DE4/graph.json","events_json":"https://pith.science/api/pith-number/BAUKNMD7LJLA3VMUI6KNM23DE4/events.json","paper":"https://pith.science/paper/BAUKNMD7"},"agent_actions":{"view_html":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4","download_json":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4.json","view_paper":"https://pith.science/paper/BAUKNMD7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.11304&json=true","fetch_graph":"https://pith.science/api/pith-number/BAUKNMD7LJLA3VMUI6KNM23DE4/graph.json","fetch_events":"https://pith.science/api/pith-number/BAUKNMD7LJLA3VMUI6KNM23DE4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4/action/storage_attestation","attest_author":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4/action/author_attestation","sign_citation":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4/action/citation_signature","submit_replication":"https://pith.science/pith/BAUKNMD7LJLA3VMUI6KNM23DE4/action/replication_record"}},"created_at":"2026-05-17T23:57:40.659293+00:00","updated_at":"2026-05-17T23:57:40.659293+00:00"}