{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DPYO7THJQOVXRRDAPPBXCPV2A3","short_pith_number":"pith:DPYO7THJ","schema_version":"1.0","canonical_sha256":"1bf0efcce983ab78c4607bc3713eba06e7d7f20f55fda5057639b1f8180a9511","source":{"kind":"arxiv","id":"2111.13195","version":1},"attestation_state":"computed","paper":{"title":"A categorification of the colored Jones polynomial at a root of unity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.RT"],"primary_cat":"math.QA","authors_text":"Emmanuel Wagner, Joshua Sussan, Louis-Hadrien Robert, You Qi","submitted_at":"2021-11-25T17:56:39Z","abstract_excerpt":"There is a $p$-differential on the triply-graded Khovanov--Rozansky homology of knots and links over a field of positive characteristic $p$ that gives rise to an invariant in the homotopy category finite-dimensional $p$-complexes.\n  A differential on triply-graded homology discovered by Cautis is compatible with the $p$-differential structure. As a consequence we get a categorification of the colored Jones polynomial evaluated at a $2p$th root of unity."},"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":"2111.13195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-11-25T17:56:39Z","cross_cats_sorted":["math.GT","math.RT"],"title_canon_sha256":"e4470a15f2d8200a1d5ea9adea059ceb1014030a4c889bad07ccd87a0d9a58f3","abstract_canon_sha256":"7db1911320d53a4e12c7484521bab8399e1b5471103df84d6ad41e5801720075"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:35:18.723632Z","signature_b64":"VZRR5kOJDkPpLeuwRZl5blTMt1jDNsrOOhD4D/KaEMt4XxJ9husSbpLp7lSS+LuK3MsRmVTRMtkzP66Bv8vVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bf0efcce983ab78c4607bc3713eba06e7d7f20f55fda5057639b1f8180a9511","last_reissued_at":"2026-07-05T03:35:18.723195Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:35:18.723195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A categorification of the colored Jones polynomial at a root of unity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.RT"],"primary_cat":"math.QA","authors_text":"Emmanuel Wagner, Joshua Sussan, Louis-Hadrien Robert, You Qi","submitted_at":"2021-11-25T17:56:39Z","abstract_excerpt":"There is a $p$-differential on the triply-graded Khovanov--Rozansky homology of knots and links over a field of positive characteristic $p$ that gives rise to an invariant in the homotopy category finite-dimensional $p$-complexes.\n  A differential on triply-graded homology discovered by Cautis is compatible with the $p$-differential structure. As a consequence we get a categorification of the colored Jones polynomial evaluated at a $2p$th root of unity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.13195","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/2111.13195/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":"2111.13195","created_at":"2026-07-05T03:35:18.723250+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.13195v1","created_at":"2026-07-05T03:35:18.723250+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.13195","created_at":"2026-07-05T03:35:18.723250+00:00"},{"alias_kind":"pith_short_12","alias_value":"DPYO7THJQOVX","created_at":"2026-07-05T03:35:18.723250+00:00"},{"alias_kind":"pith_short_16","alias_value":"DPYO7THJQOVXRRDA","created_at":"2026-07-05T03:35:18.723250+00:00"},{"alias_kind":"pith_short_8","alias_value":"DPYO7THJ","created_at":"2026-07-05T03:35:18.723250+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.02997","citing_title":"Infinitesimal sl(2)-symmetries on the equivariant skein lasagna module","ref_index":21,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3","json":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3.json","graph_json":"https://pith.science/api/pith-number/DPYO7THJQOVXRRDAPPBXCPV2A3/graph.json","events_json":"https://pith.science/api/pith-number/DPYO7THJQOVXRRDAPPBXCPV2A3/events.json","paper":"https://pith.science/paper/DPYO7THJ"},"agent_actions":{"view_html":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3","download_json":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3.json","view_paper":"https://pith.science/paper/DPYO7THJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.13195&json=true","fetch_graph":"https://pith.science/api/pith-number/DPYO7THJQOVXRRDAPPBXCPV2A3/graph.json","fetch_events":"https://pith.science/api/pith-number/DPYO7THJQOVXRRDAPPBXCPV2A3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3/action/storage_attestation","attest_author":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3/action/author_attestation","sign_citation":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3/action/citation_signature","submit_replication":"https://pith.science/pith/DPYO7THJQOVXRRDAPPBXCPV2A3/action/replication_record"}},"created_at":"2026-07-05T03:35:18.723250+00:00","updated_at":"2026-07-05T03:35:18.723250+00:00"}