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We deduce that for a stably (resp. additively) symmetric monoidal $\\infty$-category $\\mathcal{C}$ the Yoneda embedding factors through the $\\infty$-category of exact, contravariant functors from $\\mathcal{C}$ to the $\\infty$-category of spectra (resp. connective spectra) and admits a certain multiplicative"},"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":"1608.02901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-08-09T18:24:16Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"8eae072df82cff1c96eb9c8be9123e7302e2a093078c1315c6bb486d7d2c93fd","abstract_canon_sha256":"71ef44469e9f15a82aa4eaaacfc7b96175654dbc8a1bc3087d6ee530525709dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:33.386502Z","signature_b64":"5aD/S7HvEdYewCxJ/FN0l2ieH2hWXy02ajgF7C94JJd8OJsHlWExvO3cio4eHyouDKwV3L2z0yt12ZJWxDNdBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd333df797d585e45312f8e000f7af09b9f0df30db4bab409122708b273ccef1","last_reissued_at":"2026-05-18T01:09:33.386111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:33.386111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable $\\infty$-Operads and the multiplicative Yoneda lemma","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Thomas Nikolaus","submitted_at":"2016-08-09T18:24:16Z","abstract_excerpt":"We construct for every $\\infty$-operad $\\mathcal{O}^\\otimes$ with certain finite limits new $\\infty$-operads of spectrum objects and of commutative group objects in $\\mathcal{O}$. 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