{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FOCEDNWHEHGYOAQMNWIN7HLDXH","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":"2e1d74e4eed101a01233284ffa5e15a46d2fa8f4df4a2202e4bef3b5d4721d61","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2025-06-03T02:32:07Z","title_canon_sha256":"6a17c40bdbf30ba3c8a7a8f77f236d04dc4fde1ae8cb6032eedc5b5036916ecd"},"schema_version":"1.0","source":{"id":"2506.02379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02379","created_at":"2026-07-05T11:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02379v1","created_at":"2026-07-05T11:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02379","created_at":"2026-07-05T11:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"FOCEDNWHEHGY","created_at":"2026-07-05T11:14:37Z"},{"alias_kind":"pith_short_16","alias_value":"FOCEDNWHEHGYOAQM","created_at":"2026-07-05T11:14:37Z"},{"alias_kind":"pith_short_8","alias_value":"FOCEDNWH","created_at":"2026-07-05T11:14:37Z"}],"graph_snapshots":[{"event_id":"sha256:0e39bf8687fbc5581d49b367fcdcb3e2c31b9961265f9e9c17d16ca485cf1b78","target":"graph","created_at":"2026-07-05T11:14:37Z","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/2506.02379/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Twisted loop algebras of the second kind are infinite-dimensional Lie algebras that are constructed from a semisimple Lie algebra and an automorphism on it of order at most $2$. They are examples of equivariant map algebras. The finite-dimensional irreducible representations of an arbitrary equivariant map algebra have been classified by Neher--Savage--Senesi. In this paper, we classify the finite-dimensional irreducible representations of twisted loop algebras of the second kind in a more elementary way.","authors_text":"Hideya Watanabe","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2025-06-03T02:32:07Z","title":"Finite-dimensional irreducible representations of twisted loop algebras of the second kind"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02379","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:df6b7198f22e07ddc0b1fed170eba7377887e8d20f4b7ca664ca3041d3ae7736","target":"record","created_at":"2026-07-05T11:14:37Z","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":"2e1d74e4eed101a01233284ffa5e15a46d2fa8f4df4a2202e4bef3b5d4721d61","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2025-06-03T02:32:07Z","title_canon_sha256":"6a17c40bdbf30ba3c8a7a8f77f236d04dc4fde1ae8cb6032eedc5b5036916ecd"},"schema_version":"1.0","source":{"id":"2506.02379","kind":"arxiv","version":1}},"canonical_sha256":"2b8441b6c721cd87020c6d90df9d63b9e3064f09a9a4d0c98492265678bcb5c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b8441b6c721cd87020c6d90df9d63b9e3064f09a9a4d0c98492265678bcb5c4","first_computed_at":"2026-07-05T11:14:37.764993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:37.764993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fKBRzeTv7VVV1yeN23FbcYZaVCDoTrjrUtKtX6EE6tHZZReo/I2YKjhX6v9MxcSpsgp0aIeUr06J5EmQXd2nAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:37.765532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df6b7198f22e07ddc0b1fed170eba7377887e8d20f4b7ca664ca3041d3ae7736","sha256:0e39bf8687fbc5581d49b367fcdcb3e2c31b9961265f9e9c17d16ca485cf1b78"],"state_sha256":"e3fd031c2aaf18de62a0614e71357d701d49d1066b1d3a657b055e310af81e19"}