[{"type":"thinking","thinking":"Hmm, Semantic Scholar's abstract for the Math. Comp. paper says |S(T)| ≤ 0.111 log T + 0.275 log log T + 2.450 — but those are the constants of the **JNT 2014 \"II\" paper** (per the arXiv abstract of 1208.5846). Semantic Scholar seems to have mixed up the abstracts (or the Crossref/S2 record for the DOI is polluted with the sequel's abstract). Not trustworthy.\n\nSo far:\n- Math. Comp. 81 (2012) paper: exists, pages 1053–1061, DOI 10.1090/S0025-5718-2011-02537-8. Its Crossref abstract mentions asymptotic 0.1013 and Theorem 2 with a + b log t form.\n- S2's abstract for it quotes 0.111/0.275/2.450 — which collides with the II paper's constants. Untrustworthy.\n- The project's bound 0.137/0.443/1.588 — source still unverified at theorem level.\n\nThe S2 abstract is likely WRONG (mixed with the sequel). The Crossref abstract said: main result bound valid for large t: |S(t)| ≤ 0.1013 log t; Theorem 2 explicit with a + b log t.\n\nHmm — \"Theorem 2 ... |S(t)| ≤ a + b log t\" — that's a two-parameter family. But the three-term 0.137/0.443/1.588 form might be Theorem 1 of that paper. I need the actual paper text.\n\nOptions: AMS PDF (blocked via curl — the HTML response suggests a bot check; maybe needs a User-Agent header). Let me retry curl with a browser User-Agent.","signature":""},{"type":"text","text":"Semantic Scholar's abstract looks polluted with the sequel's constants — untrustworthy. Retrying the AMS PDF with a browser user-agent."},{"type":"tool_use","id":"Bash_75","name":"Bash","input":{"command":"cd /tmp && curl -sL -A \"Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/120.0 Safari/537.36\" -o trudgian-mcom81b.pdf \"https://www.ams.org/mcom/2012-81-278/S0025-5718-2011-02537-8/S0025-5718-2011-02537-8.pdf\" && file trudgian-mcom81b.pdf","description":"Retry AMS PDF download with browser User-Agent","timeout":60000},"extra_content":null}]