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This goes via Rozansky's definition of a categorified Jones-Wenzl projector P_n as an infinite torus braid on n strands.\n  We then observe that Cooper-Krushkal's explicit definition of P_2 also gives rise to stable homotopy types of colored links (using"},"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":"1602.01386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-02-03T17:39:03Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"030a4bb812c57c203165ef8767d2a90b4678727d5c7686b1877bbb3fe32b09d5","abstract_canon_sha256":"388ecc0c2e98107b88da563e6b738a7d66e4aace62c4d7598ccbd90e107fcdd0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:10.373098Z","signature_b64":"PO6Ax/HB6l8HQmetIdRDzIf11iWYwboywLG0qnH45rAcIHTgZjG00lDc48pM+vDQG9CS7+++tLQSbfstSbFrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650a9ec3b38b3cc32e8adcbba759dbba542896f8312c187829702c782df087a2","last_reissued_at":"2026-05-18T00:48:10.372488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:10.372488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Khovanov stable homotopy type for colored links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Andrew Lobb, Dirk Schuetz, Patrick Orson","submitted_at":"2016-02-03T17:39:03Z","abstract_excerpt":"We extend Lipshitz-Sarkar's definition of a stable homotopy type associated to a link L whose cohomology recovers the Khovanov cohomology of L. 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