{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE","short_pith_number":"pith:YAZR4ZOW","canonical_record":{"source":{"id":"1605.07580","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff","abstract_canon_sha256":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca"},"schema_version":"1.0"},"canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","source":{"kind":"arxiv","id":"1605.07580","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07580v2","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"YAZR4ZOW2RNA","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YAZR4ZOW2RNAJX5F","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YAZR4ZOW","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE","target":"record","payload":{"canonical_record":{"source":{"id":"1605.07580","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff","abstract_canon_sha256":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca"},"schema_version":"1.0"},"canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:49.411135Z","signature_b64":"v9lS9sQbQdEfSYJ9+bPTgn0Am2YtfC5cA7RJaXYZS3rezYFduO2qunO8hJ8UmpOw4U+hBqvVqVndpkRjuwguDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","last_reissued_at":"2026-05-18T00:45:49.410303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:49.410303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.07580","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HVHJ64XMKcQP8QL+i+iJ3JQjnzbq7mwtPrUbb3Je2WRzYDI8jxPOp1OsQSnEE41fbhciM0zNlDOiwmyfdWOLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:52:33.417798Z"},"content_sha256":"331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99","schema_version":"1.0","event_id":"sha256:331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weight representations of admissible affine vertex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Luis Enrique Ramirez, Tomoyuki Arakawa, Vyacheslav Futorny","submitted_at":"2016-05-24T18:38:02Z","abstract_excerpt":"For an admissible affine vertex algebra $V_k(\\mathfrak{g})$ of type $A$, we describe a new family of relaxed highest weight representations of $V_k(\\mathfrak{g})$. They are simple quotients of representations of the affine Kac-Moody algebra $\\widehat{\\mathfrak{g}}$ induced from the following $\\mathfrak{g}$-modules: 1) generic Gelfand-Tsetlin modules in the principal nilpotent orbit, in particular all such modules induced from $\\mathfrak{sl}_2$; 2) all Gelfand-Tsetlin modules in the principal nilpotent orbit which are induced from $\\mathfrak{sl}_3$; 3) all simple Gelfand-Tsetlin modules over $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07580","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hb7TG3es8HOkyt4T8Ji2dzPcLBjxEha0EQtyokmRodaEI0Smyx0MnB8hgrz8n29mntfZN6hHIpvbfD7MiCq8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:52:33.418164Z"},"content_sha256":"b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76","schema_version":"1.0","event_id":"sha256:b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/bundle.json","state_url":"https://pith.science/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T23:52:33Z","links":{"resolver":"https://pith.science/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE","bundle":"https://pith.science/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/bundle.json","state":"https://pith.science/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAZR4ZOW2RNAJX5FPZGUTWRBLE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE","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":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff"},"schema_version":"1.0","source":{"id":"1605.07580","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07580v2","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"YAZR4ZOW2RNA","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YAZR4ZOW2RNAJX5F","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YAZR4ZOW","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76","target":"graph","created_at":"2026-05-18T00:45:49Z","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":"For an admissible affine vertex algebra $V_k(\\mathfrak{g})$ of type $A$, we describe a new family of relaxed highest weight representations of $V_k(\\mathfrak{g})$. They are simple quotients of representations of the affine Kac-Moody algebra $\\widehat{\\mathfrak{g}}$ induced from the following $\\mathfrak{g}$-modules: 1) generic Gelfand-Tsetlin modules in the principal nilpotent orbit, in particular all such modules induced from $\\mathfrak{sl}_2$; 2) all Gelfand-Tsetlin modules in the principal nilpotent orbit which are induced from $\\mathfrak{sl}_3$; 3) all simple Gelfand-Tsetlin modules over $\\","authors_text":"Luis Enrique Ramirez, Tomoyuki Arakawa, Vyacheslav Futorny","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title":"Weight representations of admissible affine vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07580","kind":"arxiv","version":2},"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":"sha256:331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99","target":"record","created_at":"2026-05-18T00:45:49Z","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":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff"},"schema_version":"1.0","source":{"id":"1605.07580","kind":"arxiv","version":2}},"canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","first_computed_at":"2026-05-18T00:45:49.410303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:49.410303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9lS9sQbQdEfSYJ9+bPTgn0Am2YtfC5cA7RJaXYZS3rezYFduO2qunO8hJ8UmpOw4U+hBqvVqVndpkRjuwguDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:49.411135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07580","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99","sha256:b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76"],"state_sha256":"99ad1e1b2dc0f8a29e5f46ea243cbad11ed24025299428115896b3d1ed8815a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"109E7iMlJfkjPbFk+CBgkle6ywapzYlk/MO+XgAQB6AjgoZmLPHyNwLmKeo0dfxYcVcfpRtMsBLNGisNUePwBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:52:33.420599Z","bundle_sha256":"80f4320fcae55790cf0562065a9967f078f4c6ba9a6e543c545990003d60c9d7"}}