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We re-analyse the generating function and find additional evidence for our earlier conclusion that unlike other classical length-$4$ pattern-avoiding permutations, the generating function does not have a simple power-law singularity, but rather, the number of $1324$-avoiding permutations of length $n$ behaves as \\[ B\\cdot \\mu^n \\cdot \\mu_1^{\\sqrt{n}} \\cdot n^g. \\] We estimate $\\mu=11.600 \\pm 0."},"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":"1709.01248","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-09-05T06:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"6dd006ec28fd9a743e67aaf66403aecb2625f61882335d41eaad70e599fc97f0","abstract_canon_sha256":"26edec2be3708df5f6d0fe51e5660f81f04466afc8e54f04703ddd7520a2be87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:16.455968Z","signature_b64":"XoI/Zp/ZXAJlmtmonjSl+yZulgVkL/NV2Wz23dqY4Ce61TByfl1Oq58q8cXVs8Xw5AjS16WXzHzmSUo75DkACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b52dffa3ec52e2cf9c1b0c9314bb37fd990002dbb4187f2aac4026fe0dca392d","last_reissued_at":"2026-05-18T00:30:16.455220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:16.455220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"1324-avoiding permutations revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Andrew R. 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