{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TGWALG6ZVTRA7PQTPYYRHWYW25","short_pith_number":"pith:TGWALG6Z","schema_version":"1.0","canonical_sha256":"99ac059bd9ace20fbe137e3113db16d76f175d23d6a02242ecbf88bcca139073","source":{"kind":"arxiv","id":"2009.04454","version":1},"attestation_state":"computed","paper":{"title":"Extended Drinfel'd algebras and non-Abelian duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SG"],"primary_cat":"hep-th","authors_text":"Yuho Sakatani","submitted_at":"2020-09-09T17:59:55Z","abstract_excerpt":"A Drinfel'd algebra gives the systematic construction of generalized parallelizable spaces and this allows us to study an extended T-duality, known as the Poisson-Lie T-duality. Recently, in order to find a generalized U-duality, an extended Drinfel'd algebra (ExDA), called the Exceptional Drinfel'd algebra (EDA) was proposed and a natural extension of the usual U-duality was studied both in the context of supergravity and membrane theory. In this paper, we clarify the general structure of ExDAs and show that an ExDA always gives a generalized parallelizable space, which may be regarded as a g"},"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":"2009.04454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-09T17:59:55Z","cross_cats_sorted":["math-ph","math.MP","math.SG"],"title_canon_sha256":"b6ae9e41294a919baa2371ceb351f2b32bb034a416f4bb881802ca1c961224cc","abstract_canon_sha256":"81f71b111975b10ba6c77bffcebb0437b2dc3682355968ccc24d14b3119ad2b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:34:18.404195Z","signature_b64":"bkgEltMM0rhUhWMVNsoUbJAOS4gk9gS2kzOlM81llLIUI2gdACB1wrjIePa3dTywIcC96S3+++z3CuMgvkp+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99ac059bd9ace20fbe137e3113db16d76f175d23d6a02242ecbf88bcca139073","last_reissued_at":"2026-07-05T01:34:18.403778Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:34:18.403778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended Drinfel'd algebras and non-Abelian duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SG"],"primary_cat":"hep-th","authors_text":"Yuho Sakatani","submitted_at":"2020-09-09T17:59:55Z","abstract_excerpt":"A Drinfel'd algebra gives the systematic construction of generalized parallelizable spaces and this allows us to study an extended T-duality, known as the Poisson-Lie T-duality. Recently, in order to find a generalized U-duality, an extended Drinfel'd algebra (ExDA), called the Exceptional Drinfel'd algebra (EDA) was proposed and a natural extension of the usual U-duality was studied both in the context of supergravity and membrane theory. In this paper, we clarify the general structure of ExDAs and show that an ExDA always gives a generalized parallelizable space, which may be regarded as a g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.04454","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.04454/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2009.04454","created_at":"2026-07-05T01:34:18.403833+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.04454v1","created_at":"2026-07-05T01:34:18.403833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.04454","created_at":"2026-07-05T01:34:18.403833+00:00"},{"alias_kind":"pith_short_12","alias_value":"TGWALG6ZVTRA","created_at":"2026-07-05T01:34:18.403833+00:00"},{"alias_kind":"pith_short_16","alias_value":"TGWALG6ZVTRA7PQT","created_at":"2026-07-05T01:34:18.403833+00:00"},{"alias_kind":"pith_short_8","alias_value":"TGWALG6Z","created_at":"2026-07-05T01:34:18.403833+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.00864","citing_title":"Poly-vector deformations of heterotic supergravity solutions","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25","json":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25.json","graph_json":"https://pith.science/api/pith-number/TGWALG6ZVTRA7PQTPYYRHWYW25/graph.json","events_json":"https://pith.science/api/pith-number/TGWALG6ZVTRA7PQTPYYRHWYW25/events.json","paper":"https://pith.science/paper/TGWALG6Z"},"agent_actions":{"view_html":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25","download_json":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25.json","view_paper":"https://pith.science/paper/TGWALG6Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.04454&json=true","fetch_graph":"https://pith.science/api/pith-number/TGWALG6ZVTRA7PQTPYYRHWYW25/graph.json","fetch_events":"https://pith.science/api/pith-number/TGWALG6ZVTRA7PQTPYYRHWYW25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25/action/storage_attestation","attest_author":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25/action/author_attestation","sign_citation":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25/action/citation_signature","submit_replication":"https://pith.science/pith/TGWALG6ZVTRA7PQTPYYRHWYW25/action/replication_record"}},"created_at":"2026-07-05T01:34:18.403833+00:00","updated_at":"2026-07-05T01:34:18.403833+00:00"}