{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:36VTWEKXKG7UTJP7O3O5TWIZOO","short_pith_number":"pith:36VTWEKX","canonical_record":{"source":{"id":"1009.0943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-09-05T19:55:49Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"f32ab4295a650dc17d6c2cb0039ec9800c0651fed244af4e2f6cfbe099f1263f","abstract_canon_sha256":"23a262b2d804e50a7a62f54048b55bc6841fdbe8edfe76fd851439bd8e87b10e"},"schema_version":"1.0"},"canonical_sha256":"dfab3b115751bf49a5ff76ddd9d91973909303004b1c2b8979990533a9e487fa","source":{"kind":"arxiv","id":"1009.0943","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0943","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0943v1","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0943","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"36VTWEKXKG7U","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"36VTWEKXKG7UTJP7","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"36VTWEKX","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:36VTWEKXKG7UTJP7O3O5TWIZOO","target":"record","payload":{"canonical_record":{"source":{"id":"1009.0943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-09-05T19:55:49Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"f32ab4295a650dc17d6c2cb0039ec9800c0651fed244af4e2f6cfbe099f1263f","abstract_canon_sha256":"23a262b2d804e50a7a62f54048b55bc6841fdbe8edfe76fd851439bd8e87b10e"},"schema_version":"1.0"},"canonical_sha256":"dfab3b115751bf49a5ff76ddd9d91973909303004b1c2b8979990533a9e487fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:58.015781Z","signature_b64":"lHd6im6gS8AbYvrnELxFS8sNstjRLHdprj+kiCQlmv/Dk5M0h/jD6hEi2JmpGojceBGjDtdFUXxPT475lBzZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfab3b115751bf49a5ff76ddd9d91973909303004b1c2b8979990533a9e487fa","last_reissued_at":"2026-05-18T03:15:58.015129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:58.015129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.0943","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e0KUz9BjFAUZcq/m0KMCLeWtvq2bBdgUVwpFvysYEtxlc3hHTT2/eHMoPsZg9pFmSkgWWkpI0hAl1WjnM3V+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:11:31.778492Z"},"content_sha256":"78cf8f0fa5048762a81b280f196f6be3535670310779e089bf36d251150d9398","schema_version":"1.0","event_id":"sha256:78cf8f0fa5048762a81b280f196f6be3535670310779e089bf36d251150d9398"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:36VTWEKXKG7UTJP7O3O5TWIZOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"DJKM algebras I: Their Universal Central Extension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Ben Cox, Vyatcheslav Futorny","submitted_at":"2010-09-05T19:55:49Z","abstract_excerpt":"The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, $\\mathfrak g\\otimes \\mathbb C[t,t^{-1},u|u^2=(t^2-b^2)(t^2-c^2)]$, appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from Landau-Lifshitz differential equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0943","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fzRhz73W/J1tznDU54ZofZi5m1HlsrJVeSuQoDl/ZCuSmStiGJD2zKkgHp7BJ1XTrfR1Ze2A+ubPrwaEe4zzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:11:31.778847Z"},"content_sha256":"c1586ae14fba6e625294c88a36981f0819a06a263479e1ba8e3c09fd2e7e8731","schema_version":"1.0","event_id":"sha256:c1586ae14fba6e625294c88a36981f0819a06a263479e1ba8e3c09fd2e7e8731"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/bundle.json","state_url":"https://pith.science/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/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":"2026-05-31T05:11:31Z","links":{"resolver":"https://pith.science/pith/36VTWEKXKG7UTJP7O3O5TWIZOO","bundle":"https://pith.science/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/bundle.json","state":"https://pith.science/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/36VTWEKXKG7UTJP7O3O5TWIZOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:36VTWEKXKG7UTJP7O3O5TWIZOO","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":"23a262b2d804e50a7a62f54048b55bc6841fdbe8edfe76fd851439bd8e87b10e","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-09-05T19:55:49Z","title_canon_sha256":"f32ab4295a650dc17d6c2cb0039ec9800c0651fed244af4e2f6cfbe099f1263f"},"schema_version":"1.0","source":{"id":"1009.0943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0943","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0943v1","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0943","created_at":"2026-05-18T03:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"36VTWEKXKG7U","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"36VTWEKXKG7UTJP7","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"36VTWEKX","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:c1586ae14fba6e625294c88a36981f0819a06a263479e1ba8e3c09fd2e7e8731","target":"graph","created_at":"2026-05-18T03:15:58Z","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 purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, $\\mathfrak g\\otimes \\mathbb C[t,t^{-1},u|u^2=(t^2-b^2)(t^2-c^2)]$, appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from Landau-Lifshitz differential equation.","authors_text":"Ben Cox, Vyatcheslav Futorny","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-09-05T19:55:49Z","title":"DJKM algebras I: Their Universal Central Extension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0943","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":"sha256:78cf8f0fa5048762a81b280f196f6be3535670310779e089bf36d251150d9398","target":"record","created_at":"2026-05-18T03:15:58Z","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":"23a262b2d804e50a7a62f54048b55bc6841fdbe8edfe76fd851439bd8e87b10e","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-09-05T19:55:49Z","title_canon_sha256":"f32ab4295a650dc17d6c2cb0039ec9800c0651fed244af4e2f6cfbe099f1263f"},"schema_version":"1.0","source":{"id":"1009.0943","kind":"arxiv","version":1}},"canonical_sha256":"dfab3b115751bf49a5ff76ddd9d91973909303004b1c2b8979990533a9e487fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfab3b115751bf49a5ff76ddd9d91973909303004b1c2b8979990533a9e487fa","first_computed_at":"2026-05-18T03:15:58.015129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:58.015129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lHd6im6gS8AbYvrnELxFS8sNstjRLHdprj+kiCQlmv/Dk5M0h/jD6hEi2JmpGojceBGjDtdFUXxPT475lBzZCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:58.015781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.0943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78cf8f0fa5048762a81b280f196f6be3535670310779e089bf36d251150d9398","sha256:c1586ae14fba6e625294c88a36981f0819a06a263479e1ba8e3c09fd2e7e8731"],"state_sha256":"0e66f14cc6eb90bfae3c6408207c11d04c01d5b4bf5cc6ff91d1566c2803310e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CAHxbviI1j3T12IEsvrAtQkB0TQa2XNhnoBHQJoYPhy94LTi5SYh+BdfM8apTM05GHtelzbuRwgL2mgzF72yAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:11:31.781049Z","bundle_sha256":"b37db46e9b797964a0407cf68f8cc1647e55c71203480dc3e6904784c6318af5"}}