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From the Thom map $\\Phi: Ext^{s,t}_{BP_*BP}(BP_*, BP_*)\\longrightarrow Ext^{s,t}_A(\\mathbb{Z}/p, \\mathbb{Z}/p)$, we also see that $h_0h_3$ survives to $E_\\infty$ in the classical Adams spectral sequence."},"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":"1402.6074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-02-25T07:39:58Z","cross_cats_sorted":[],"title_canon_sha256":"be66e9c1ccbfdabfefb1949fc7f45cd61886b1b03edbe71c6494390d35f54773","abstract_canon_sha256":"85ed49050b9f31cbd003999f0e037cccc4482b8718041356096f86aee3863728"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:56.390925Z","signature_b64":"8fB5UoSszMYzpo+Muaemscdoh5LkQmDN2RLSms96bOF8KeBaCAMV8B62za05xOXCPNKJ69vdzD1pEHJS61BFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4c8f36f3beb34cde54c961a872bb0f3c31432a1b0aa143d8d7ccfe25da6520d","last_reissued_at":"2026-05-18T02:48:56.390267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:56.390267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The secondary periodic element $\\beta_{p^2/p^2-1}$ and its applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Jianguo Hong, Xiangjun Wang","submitted_at":"2014-02-25T07:39:58Z","abstract_excerpt":"In this paper we prove that $\\beta_{p^2/p^2-1}$ survives to $E_\\infty$ in the Adams-Novikov spectral sequence for $p\\geqslant 5$. As an easy consequence we prove that $\\beta_{sp^2/j}$ are perminent cycles for all $s\\geqslant 1$, $j\\leqslant p^2-1$. 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