{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JVC2J33XKYC4JQSGR3G3VDM766","short_pith_number":"pith:JVC2J33X","schema_version":"1.0","canonical_sha256":"4d45a4ef775605c4c2468ecdba8d9ff787bc8546bd96d009fdc490d2a3e679c3","source":{"kind":"arxiv","id":"1208.2104","version":3},"attestation_state":"computed","paper":{"title":"Locally loop algebras and locally affine Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jun Morita, Yoji Yoshii","submitted_at":"2012-08-10T07:36:12Z","abstract_excerpt":"We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are called locally affine Lie algebras and locally loop algebras. We classify both of them."},"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":"1208.2104","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-08-10T07:36:12Z","cross_cats_sorted":[],"title_canon_sha256":"a7013d0b7e91bb6b9526cf0d60e12e3b2cbb5f4b4ba50677d2c26c63541c199e","abstract_canon_sha256":"bebda2c907e670a6af83f83fe31ff1d3e358420dc963b4344c884fad19a5a7a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:53.111574Z","signature_b64":"sPwh0ndod94/kBp1zekPZUyTWO1hJ0+ugHPe3ky9ZsCBejcgMpjoWCIPNkAzKgIaDSlxuyJnqV/kVLe3CayWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d45a4ef775605c4c2468ecdba8d9ff787bc8546bd96d009fdc490d2a3e679c3","last_reissued_at":"2026-05-18T02:03:53.110876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:53.110876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Locally loop algebras and locally affine Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jun Morita, Yoji Yoshii","submitted_at":"2012-08-10T07:36:12Z","abstract_excerpt":"We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are called locally affine Lie algebras and locally loop algebras. We classify both of them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2104","kind":"arxiv","version":3},"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":"1208.2104","created_at":"2026-05-18T02:03:53.110972+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.2104v3","created_at":"2026-05-18T02:03:53.110972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2104","created_at":"2026-05-18T02:03:53.110972+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVC2J33XKYC4","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVC2J33XKYC4JQSG","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVC2J33X","created_at":"2026-05-18T12:27:11.947152+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/JVC2J33XKYC4JQSGR3G3VDM766","json":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766.json","graph_json":"https://pith.science/api/pith-number/JVC2J33XKYC4JQSGR3G3VDM766/graph.json","events_json":"https://pith.science/api/pith-number/JVC2J33XKYC4JQSGR3G3VDM766/events.json","paper":"https://pith.science/paper/JVC2J33X"},"agent_actions":{"view_html":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766","download_json":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766.json","view_paper":"https://pith.science/paper/JVC2J33X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.2104&json=true","fetch_graph":"https://pith.science/api/pith-number/JVC2J33XKYC4JQSGR3G3VDM766/graph.json","fetch_events":"https://pith.science/api/pith-number/JVC2J33XKYC4JQSGR3G3VDM766/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766/action/storage_attestation","attest_author":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766/action/author_attestation","sign_citation":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766/action/citation_signature","submit_replication":"https://pith.science/pith/JVC2J33XKYC4JQSGR3G3VDM766/action/replication_record"}},"created_at":"2026-05-18T02:03:53.110972+00:00","updated_at":"2026-05-18T02:03:53.110972+00:00"}