{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5WYXYY3SWCMJOTJP5KEW6WSSHI","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":"6112ab511ca4b01fd3888b84fdb61850c5709f28371cf24bc01cb2e22f30f64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-22T17:53:40Z","title_canon_sha256":"3086dcd406a028e44700fd804cc733f0f33dac664c295fab3aa1a0f729468f49"},"schema_version":"1.0","source":{"id":"1610.07082","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07082","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07082v4","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07082","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"pith_short_12","alias_value":"5WYXYY3SWCMJ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5WYXYY3SWCMJOTJP","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5WYXYY3S","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:e70cefc8eb022ab616fc6bdfc0f931a4d5e06b784bd6dd2c866479577f13733a","target":"graph","created_at":"2026-05-18T00:19:09Z","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":"The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules.","authors_text":"Iryna Kashuba, Vyacheslav Futorny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-22T17:53:40Z","title":"Structure of parabolically induced modules for affine Kac-Moody algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07082","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":"sha256:7b39f7bdb0eb8bcd94f228cdb13eddd372e2463796d0c88b21018042eea96ece","target":"record","created_at":"2026-05-18T00:19:09Z","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":"6112ab511ca4b01fd3888b84fdb61850c5709f28371cf24bc01cb2e22f30f64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-22T17:53:40Z","title_canon_sha256":"3086dcd406a028e44700fd804cc733f0f33dac664c295fab3aa1a0f729468f49"},"schema_version":"1.0","source":{"id":"1610.07082","kind":"arxiv","version":4}},"canonical_sha256":"edb17c6372b098974d2fea896f5a523a2a0b50339284603655ec8617bdda67f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edb17c6372b098974d2fea896f5a523a2a0b50339284603655ec8617bdda67f5","first_computed_at":"2026-05-18T00:19:09.097871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:09.097871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+8pM9BSvmH1RYbEEnmijvbNKSLkH6bkSANzeW1haA0VQXCAoEXGBy3kx6JlDXOQuuccjasm68FXNdFJSDM+fCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:09.098413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07082","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b39f7bdb0eb8bcd94f228cdb13eddd372e2463796d0c88b21018042eea96ece","sha256:e70cefc8eb022ab616fc6bdfc0f931a4d5e06b784bd6dd2c866479577f13733a"],"state_sha256":"4353fd574fa02fc5e07aa4f1da0afd0d771f40068fdb84f3505e0403f8463e32"}