← Session 37 — Paper A revisions: certificate retraction + margin fix
thinking (2091 chars)
JSON is complete. Register in research.db, then update the paper.
db.py log-experiment: id E-023b, --name, --script, --csv, --json, --rows (rows = number of CSV data rows? E-023's registration: rows probably a small count since CSV is a summary), --session 043? Sessions are integers in the db (session 042 registered?). Previous usage pattern — check a previous registration command from the db or scripts. Let me just register with sensible values: id "E-023b", name "MZeroProp interval-rigorous box-cover certification", script path, csv/json paths, rows ~10 (summary CSV rows), session 43.
Then paper updates:
1. MZeroProp table cell: "this project (E-023; see below)" → "this project (E-023b), interval arithmetic".
2. MZeroProp note: replace the E-023 description with the certified result. New text:
"\texttt{MZeroProp} is certified by interval arithmetic (E-023b,
deterministic script with CSV/JSON sidecar in the project archive):
the segment is covered by an adaptive family of $t$-boxes (16\,813
boxes) and $\zeta'/\zeta$ is evaluated on each box in Arb ball
arithmetic via the functional-equation form
$\zeta'/\zeta(s) = \log\pi - \tfrac12\psi((1-s)/2) -
\tfrac12\psi(s/2) + \sum_{n\ge1}\Lambda(n)n^{s-1}$
(with $\psi(s/2)$ shifted past its pole by
$\psi(w) = \psi(w{+}3) - 1/w - 1/(w{+}1) - 1/(w{+}2)$ and the series
truncated with a certified integral tail), giving the certified global
maximum $|\zeta'/\zeta(-\tfrac52+it)| \le 1.3331$ for $|t| \le 10$,
below the charged $1.3352$. It supersedes the project's earlier
sampled-Lipschitz certificate (E-023), which it confirms
(sampled maximum $1.33237$)."
3. The closing-paragraph "short-segment constant" stays fine (it's now certified).
4. Abstract: "one short-segment interval constant" — fine as-is (now genuinely certified). ✓
5. Remark 3 editorial (the user's minor item): "Johansson's rigorous ordinary-$\lambda_n$ table \cite{johansson2015}" → "Johansson's rigorous Keiper-coefficient table \cite{johansson2015}, transferred to the present Li normalization via $\lambda_n = n\kappa_n$".
Let me apply these edits.
Registering E-023b in research.db, then updating the paper text.
tool: Bash
input
{
"command": "./.venv/Scripts/python.exe research/numerics/scripts/db.py log-experiment E-023b --name \"MZeroProp interval-rigorous box-cover certification\" --script research/numerics/scripts/E-023b-mzero-boxcover.py --csv research/numerics/data/E-023b-mzero-boxcover.csv --json research/numerics/data/E-023b-mzero-boxcover.json --rows 8 --session 43 2>&1 | tail -3",
"description": "Register E-023b in research.db"
}
tool: Grep ok
input
{
"pattern": "MZeroProp|Johansson's rigorous ordinary",
"path": "D:\\Python\\Quantum\\research\\paper\\paperA.tex",
"output_mode": "content",
"-n": true
}
result 2026-08-27 03:49:59Z → 2026-08-27 03:49:59Z
mode='content' num_files=0 filenames=[] content="384:\\cite{platt2021riemann} and Johansson's rigorous ordinary-$\\lambda_n$\n491:\\hspace*{2em}(hMZ : MZeroProp) :\\\\\n524:\\texttt{MZeroProp} & $|\\zeta'/\\zeta(-\\tfrac52 + it)| \\le 1.3352$ for\n555:\\texttt{MZeroProp} is a finite computation (E-023, deterministic" num_lines=4 num_matches=None applied_limit=None applied_offset=None
raw content_json (database row)
[{"type":"thinking","thinking":"JSON is complete. Register in research.db, then update the paper.\n\ndb.py log-experiment: id E-023b, --name, --script, --csv, --json, --rows (rows = number of CSV data rows? E-023's registration: rows probably a small count since CSV is a summary), --session 043? Sessions are integers in the db (session 042 registered?). Previous usage pattern — check a previous registration command from the db or scripts. Let me just register with sensible values: id \"E-023b\", name \"MZeroProp interval-rigorous box-cover certification\", script path, csv/json paths, rows ~10 (summary CSV rows), session 43.\n\nThen paper updates:\n1. MZeroProp table cell: \"this project (E-023; see below)\" → \"this project (E-023b), interval arithmetic\".\n2. MZeroProp note: replace the E-023 description with the certified result. New text:\n\n\"\\texttt{MZeroProp} is certified by interval arithmetic (E-023b,\ndeterministic script with CSV/JSON sidecar in the project archive):\nthe segment is covered by an adaptive family of $t$-boxes (16\\,813\nboxes) and $\\zeta'/\\zeta$ is evaluated on each box in Arb ball\narithmetic via the functional-equation form\n$\\zeta'/\\zeta(s) = \\log\\pi - \\tfrac12\\psi((1-s)/2) -\n\\tfrac12\\psi(s/2) + \\sum_{n\\ge1}\\Lambda(n)n^{s-1}$\n(with $\\psi(s/2)$ shifted past its pole by\n$\\psi(w) = \\psi(w{+}3) - 1/w - 1/(w{+}1) - 1/(w{+}2)$ and the series\ntruncated with a certified integral tail), giving the certified global\nmaximum $|\\zeta'/\\zeta(-\\tfrac52+it)| \\le 1.3331$ for $|t| \\le 10$,\nbelow the charged $1.3352$. It supersedes the project's earlier\nsampled-Lipschitz certificate (E-023), which it confirms\n(sampled maximum $1.33237$).\"\n\n3. The closing-paragraph \"short-segment constant\" stays fine (it's now certified).\n\n4. Abstract: \"one short-segment interval constant\" — fine as-is (now genuinely certified). ✓\n\n5. Remark 3 editorial (the user's minor item): \"Johansson's rigorous ordinary-$\\lambda_n$ table \\cite{johansson2015}\" → \"Johansson's rigorous Keiper-coefficient table \\cite{johansson2015}, transferred to the present Li normalization via $\\lambda_n = n\\kappa_n$\".\n\nLet me apply these edits.","signature":""},{"type":"text","text":"Registering E-023b in research.db, then updating the paper text."},{"type":"tool_use","id":"Bash_159","name":"Bash","input":{"command":"./.venv/Scripts/python.exe research/numerics/scripts/db.py log-experiment E-023b --name \"MZeroProp interval-rigorous box-cover certification\" --script research/numerics/scripts/E-023b-mzero-boxcover.py --csv research/numerics/data/E-023b-mzero-boxcover.csv --json research/numerics/data/E-023b-mzero-boxcover.json --rows 8 --session 43 2>&1 | tail -3","description":"Register E-023b in research.db"},"extra_content":null},{"type":"tool_use","id":"Grep_160","name":"Grep","input":{"pattern":"MZeroProp|Johansson's rigorous ordinary","path":"D:\\Python\\Quantum\\research\\paper\\paperA.tex","output_mode":"content","-n":true},"extra_content":null}]