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The AJ conjecture \\cite{Ga04} states that when reducing $t=-1$, the recurrence polynomial is essentially equal to the $A$-polynomial of $K$. In this paper we consider a stronger version of the AJ conjecture, proposed by Sikora \\cite{Si}, and confirm it for all torus knots."},"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":"1111.5065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-22T00:15:46Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"89616100f53b25b1ef843078eacff9a64712ccc3d8e0f64906e3cc1bd6f10897","abstract_canon_sha256":"14ee41020ed68f94810dc738b6de34c618a7131348f2e0a57e83c613a789b5ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:28.797249Z","signature_b64":"DkJaWzDvQHkHosT6kUiN6isjaEk+HzJXoiT82Vx7CVOOyDR0gJ1/Y+HEdJSvgXGn+UALbN+qpm9cX9W46GNPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7997985163fcdb50013b56a79511d0aae0361f86870940bfc1ffbd32931db50","last_reissued_at":"2026-05-18T01:22:28.796752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:28.796752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proof of a stronger version of the AJ conjecture for torus knots","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Anh T. 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