{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:XT23WRC6CPOUGBLMM36YEDSC3L","short_pith_number":"pith:XT23WRC6","schema_version":"1.0","canonical_sha256":"bcf5bb445e13dd43056c66fd820e42daf366a77951ea8ec4d6a54d882462f9af","source":{"kind":"arxiv","id":"2008.07977","version":2},"attestation_state":"computed","paper":{"title":"Frobenius nilHecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Alistair Savage, John Stuart","submitted_at":"2020-08-18T15:16:09Z","abstract_excerpt":"To any Frobenius superalgebra $A$ we associate towers of Frobenius nilCoxeter algebras and Frobenius nilHecke algebras. These act naturally, via Frobenius divided difference operators, on Frobenius polynomial algebras. When $A$ is the ground ring, our algebras recover the classical nilCoxeter and nilHecke algebras. When $A$ is the two-dimensional Clifford algebra, they are Morita equivalent to the odd nilCoxeter and odd nilHecke algebras."},"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":"2008.07977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-08-18T15:16:09Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"65f99311514edc3275e7654d0d06a7e93e380260bb379130bf19e6ac6d5a5ff4","abstract_canon_sha256":"83202875be67eb22156a1f30659b48e5b5d52efc1154c85c93efb52189363876"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:02:39.705335Z","signature_b64":"040Hzd5shlpyMrAyCNBglUDjiw936zeZ/9qE9SxoI35aoWYrC/TEmhaSw4f/EiFLLETijk/JC34xcqGFCm7UBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcf5bb445e13dd43056c66fd820e42daf366a77951ea8ec4d6a54d882462f9af","last_reissued_at":"2026-07-05T03:02:39.704922Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:02:39.704922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Frobenius nilHecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Alistair Savage, John Stuart","submitted_at":"2020-08-18T15:16:09Z","abstract_excerpt":"To any Frobenius superalgebra $A$ we associate towers of Frobenius nilCoxeter algebras and Frobenius nilHecke algebras. These act naturally, via Frobenius divided difference operators, on Frobenius polynomial algebras. When $A$ is the ground ring, our algebras recover the classical nilCoxeter and nilHecke algebras. When $A$ is the two-dimensional Clifford algebra, they are Morita equivalent to the odd nilCoxeter and odd nilHecke algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.07977","kind":"arxiv","version":2},"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/2008.07977/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":"2008.07977","created_at":"2026-07-05T03:02:39.704992+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.07977v2","created_at":"2026-07-05T03:02:39.704992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.07977","created_at":"2026-07-05T03:02:39.704992+00:00"},{"alias_kind":"pith_short_12","alias_value":"XT23WRC6CPOU","created_at":"2026-07-05T03:02:39.704992+00:00"},{"alias_kind":"pith_short_16","alias_value":"XT23WRC6CPOUGBLM","created_at":"2026-07-05T03:02:39.704992+00:00"},{"alias_kind":"pith_short_8","alias_value":"XT23WRC6","created_at":"2026-07-05T03:02:39.704992+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/XT23WRC6CPOUGBLMM36YEDSC3L","json":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L.json","graph_json":"https://pith.science/api/pith-number/XT23WRC6CPOUGBLMM36YEDSC3L/graph.json","events_json":"https://pith.science/api/pith-number/XT23WRC6CPOUGBLMM36YEDSC3L/events.json","paper":"https://pith.science/paper/XT23WRC6"},"agent_actions":{"view_html":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L","download_json":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L.json","view_paper":"https://pith.science/paper/XT23WRC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.07977&json=true","fetch_graph":"https://pith.science/api/pith-number/XT23WRC6CPOUGBLMM36YEDSC3L/graph.json","fetch_events":"https://pith.science/api/pith-number/XT23WRC6CPOUGBLMM36YEDSC3L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L/action/storage_attestation","attest_author":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L/action/author_attestation","sign_citation":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L/action/citation_signature","submit_replication":"https://pith.science/pith/XT23WRC6CPOUGBLMM36YEDSC3L/action/replication_record"}},"created_at":"2026-07-05T03:02:39.704992+00:00","updated_at":"2026-07-05T03:02:39.704992+00:00"}