{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3ZNV7D7376UDCFBCAXK2B3DSCZ","short_pith_number":"pith:3ZNV7D73","schema_version":"1.0","canonical_sha256":"de5b5f8ffbffa831142205d5a0ec721658264c11f78a9fe886574f5d0bf42f89","source":{"kind":"arxiv","id":"1605.02678","version":1},"attestation_state":"computed","paper":{"title":"The Soergel category and the redotted Webster algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.RT"],"primary_cat":"math.QA","authors_text":"Joshua Sussan, Mikhail Khovanov","submitted_at":"2016-05-09T18:18:00Z","abstract_excerpt":"We describe a collection of graded rings which surject onto Webster rings for sl(2) and which should be related to certain categories of singular Soergel bimodules. In the first non-trivial case, we construct a categorical braid group action which categorifies the Burau representation."},"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":"1605.02678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-05-09T18:18:00Z","cross_cats_sorted":["math.GT","math.RT"],"title_canon_sha256":"2bca820f833bf8b5f067a5a236f2b7f655ac861498be72bb829de528b9aea4af","abstract_canon_sha256":"b7c3c9516a109c0c30a925af4343f0e7d26f27fb8edfea3954aedf14220f8acc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:15.835411Z","signature_b64":"Z3JM0PNbjF6vd1LtkR36lfUugvKIUVZcNYtoF20FZ4n7+2L2kwnKXAuS19YR1pkLaVK85oPOG3e8klNzNVHVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de5b5f8ffbffa831142205d5a0ec721658264c11f78a9fe886574f5d0bf42f89","last_reissued_at":"2026-05-18T01:15:15.834711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:15.834711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Soergel category and the redotted Webster algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.RT"],"primary_cat":"math.QA","authors_text":"Joshua Sussan, Mikhail Khovanov","submitted_at":"2016-05-09T18:18:00Z","abstract_excerpt":"We describe a collection of graded rings which surject onto Webster rings for sl(2) and which should be related to certain categories of singular Soergel bimodules. In the first non-trivial case, we construct a categorical braid group action which categorifies the Burau representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02678","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.02678","created_at":"2026-05-18T01:15:15.834824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02678v1","created_at":"2026-05-18T01:15:15.834824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02678","created_at":"2026-05-18T01:15:15.834824+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZNV7D7376UD","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZNV7D7376UDCFBC","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZNV7D73","created_at":"2026-05-18T12:29:58.707656+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/3ZNV7D7376UDCFBCAXK2B3DSCZ","json":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ.json","graph_json":"https://pith.science/api/pith-number/3ZNV7D7376UDCFBCAXK2B3DSCZ/graph.json","events_json":"https://pith.science/api/pith-number/3ZNV7D7376UDCFBCAXK2B3DSCZ/events.json","paper":"https://pith.science/paper/3ZNV7D73"},"agent_actions":{"view_html":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ","download_json":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ.json","view_paper":"https://pith.science/paper/3ZNV7D73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02678&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZNV7D7376UDCFBCAXK2B3DSCZ/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZNV7D7376UDCFBCAXK2B3DSCZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ/action/storage_attestation","attest_author":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ/action/author_attestation","sign_citation":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ/action/citation_signature","submit_replication":"https://pith.science/pith/3ZNV7D7376UDCFBCAXK2B3DSCZ/action/replication_record"}},"created_at":"2026-05-18T01:15:15.834824+00:00","updated_at":"2026-05-18T01:15:15.834824+00:00"}