← Session 18 — Lean tier (ii): finite-height proof + certified base points
thinking (6758 chars)
The user asks for detailed information on how to submit the paper and what they need. This is a practical publishing-guidance question for Paper A (the finite-height Li theorem paper). I should give a thorough, practical, honest answer covering:
1. **What you have / what you're submitting** — paperA.pdf (9 pp), the artifact state.
2. **Venue choice** — this is the key decision. Options:
- arXiv first (preprint) — standard for math, establishes priority, free.
- Journal options for this kind of paper: it's a computational/conditional number theory result + formal verification. Suitable journals:
- *Experimental Mathematics* (Taylor & Francis) — fits computational + conditional results perfectly.
- *Mathematics of Computation* (AMS) — fits numerical/computational NT with rigorous constants.
- *Journal of Number Theory* — mainstream NT.
- *LMS Journal of Computation and Mathematics* — computational.
- *Research in Number Theory* (Springer) — good fit, open access option.
- *Journal of Formalized Reasoning* — if emphasizing the Lean side.
- arXiv-only is also an option.
- The AI-assistance angle: journal policies differ. arXiv has no prohibition (requires disclosure per their policy — actually arXiv's policy: AI tools can't be authors; content generated by AI should be disclosed? arXiv moderation is light-touch). The paper already has the AI Contribution Statement, which is what journals increasingly require.
3. **What you need before/at submission**:
- arXiv: account, endorsement for math.NT (new arXiv users need an endorser for first submission in a category!), PDF (compiled from source — arXiv wants LaTeX SOURCE, not just PDF: tex + bbl + figures), license choice, metadata (title/abstract/authors), MSC classification (11M26, 11M06, 11Y35, 03B35?), cross-lists (cs.IT? cs.LO for Lean? probably cs.NA or just math.NT + cs.LO?).
- Journal: cover letter, suggested referees, ORCID, funding/conflict statements, the AI-use disclosure (already in the paper), data/code availability statement (the project archive — is the repo public? It's a local git repo. Need to decide: make the archive available — GitHub repo with the Lean package, scripts, CSVs. Journals increasingly require code/data availability. The Lean package path-requires the vendored zeta-23-lean + a specific Mathlib build — for reproducibility they'd want to publish the repo with instructions, or at least the Lean files + audit script).
4. **Repository/artifact preparation** — make the git repo public (GitHub), pin a tag, maybe Zenodo DOI for the archive. This supports the "deterministic archived scripts" claims.
5. **The standing caveats before circulating**: user read-through; the theorem is conditional on computation (Platt–Trudgian + Misguich–Voros + own computations); the Lean verification is modulo SfBoundProp + perimeter — the paper states this honestly; the AI-contribution disclosure.
6. **Practical steps in order**: (1) read-through, (2) optional polish (figures), (3) make repo public / Zenodo, (4) arXiv submission (needs endorsement — the user needs an endorser if they don't have an arXiv account with prior submissions; plan for this, it can take days), (5) journal submission after arXiv posts.
7. **Costs**: arXiv free; journal APCs vary — Experimental Mathematics ~ no APC for standard (subscription) route, open access optional with APC; Research in Number Theory is OA with APC (~$1500-2500, waivers exist); Math of Comp subscription route no APC. Mention waivers for independent researchers.
8. **Referee-proofing checklist** — what a referee will ask: the Platt–Trudgian dependency (cite precisely), Misguich–Voros citation (voros2017li — the bibtex warned "empty journal in voros2017li" — fix that bib entry!), the M₀ grid-verified constant (E-023b upgrade optional), the "first assembled explicit chain" novelty claim (be ready to defend), the SfBoundProp perimeter honesty (it's the paper's strength).
Important concrete details I should verify/flag:
- The bibtex warning: "empty journal in voros2017li" — the references.bib entry for voros2017li (Misguich–Voros) has an empty journal field. That's a real submission blocker for a journal (incomplete reference). I should offer to fix it — it's arXiv 1703.02844? Actually the Misguich–Voros paper: "The Li/Keiper coefficients... " hmm. Voros 2017 Li paper in references.bib is `voros2017li` — the published version: A. Voros, "An asymptotic criterion in an explicit sequence..."? Let me not guess the exact journal from memory — I can look at the bib entry and suggest completing it. Actually I could check references.bib now and fix or at least report.
- arXiv endorsement requirement for first-time submitters in math.NT — important practical detail.
- ORCID — needed for most journal submissions; free to register.
- The user is "Dan T Nguyen, Research Ai" — independent researcher presumably; no institutional affiliation issues for arXiv; journals accept independent researchers.
Also things I must NOT do: submit anything myself, create accounts, etc. This is guidance + repo prep I can do locally.
Should I check the references.bib voros2017li entry now? Yes — quick check makes the answer concrete and I can fix it immediately (it's a real defect found by the build). Let me look at it.
Also the Lean package reproducibility: NguyenRH1 path-requires ../../../zeta-23-lean and its .lake/packages/mathlib — for public release, better to pin mathlib as a git require with a rev, or document the exact vendored setup. Simpler: publish the whole repo (including zeta-23-lean vendored? it's a git clone of the Anthropic challenge repo at tag v1.0 — redistributable, it's public). Provide a README for the Lean build: elan toolchain v4.33.0-rc2, clone zeta-23-lean v1.0, lake build, etc. That's a repo-readiness task I can do when they decide to publish.
Structure the answer:
1. What you're submitting (current artifact state).
2. Pre-submission checklist (must-fix: the voros2017li bib entry; recommended: user read-through, repo publication, optional figures/E-023b).
3. Route A: arXiv (steps, requirements incl. endorsement, what files arXiv wants — source not PDF, license, categories, timeline).
4. Route B: journal (venue shortlist with fit reasoning, what submission needs: cover letter draft points, ORCID, disclosures already in paper, data availability statement, suggested referees, APCs/waivers).
5. Order of operations recommendation: fix bib → read-through → repo public + Zenodo DOI → arXiv → journal.
6. What I can do vs what only they can do (accounts, endorsements, submission clicks, cover letter signature).
Keep it organized and practical. Let me first check the bib entry so the report is concrete.
Good question — let me first check one concrete defect the build already flagged (an incomplete reference entry), then give you the full submission map.
tool: Bash
input
{
"command": "grep -A 10 \"@article{voros2017li\" D:/Python/Quantum/research/paper/references.bib; echo ---; grep -A 8 \"@article{platt2021riemann\" D:/Python/Quantum/research/paper/references.bib | head -10",
"description": "Inspect the incomplete bib entry flagged at build"
}
raw content_json (database row)
[{"type":"thinking","thinking":"The user asks for detailed information on how to submit the paper and what they need. This is a practical publishing-guidance question for Paper A (the finite-height Li theorem paper). I should give a thorough, practical, honest answer covering:\n\n1. **What you have / what you're submitting** — paperA.pdf (9 pp), the artifact state.\n2. **Venue choice** — this is the key decision. Options:\n - arXiv first (preprint) — standard for math, establishes priority, free.\n - Journal options for this kind of paper: it's a computational/conditional number theory result + formal verification. Suitable journals: \n - *Experimental Mathematics* (Taylor & Francis) — fits computational + conditional results perfectly.\n - *Mathematics of Computation* (AMS) — fits numerical/computational NT with rigorous constants.\n - *Journal of Number Theory* — mainstream NT.\n - *LMS Journal of Computation and Mathematics* — computational.\n - *Research in Number Theory* (Springer) — good fit, open access option.\n - *Journal of Formalized Reasoning* — if emphasizing the Lean side.\n - arXiv-only is also an option.\n - The AI-assistance angle: journal policies differ. arXiv has no prohibition (requires disclosure per their policy — actually arXiv's policy: AI tools can't be authors; content generated by AI should be disclosed? arXiv moderation is light-touch). The paper already has the AI Contribution Statement, which is what journals increasingly require.\n3. **What you need before/at submission**:\n - arXiv: account, endorsement for math.NT (new arXiv users need an endorser for first submission in a category!), PDF (compiled from source — arXiv wants LaTeX SOURCE, not just PDF: tex + bbl + figures), license choice, metadata (title/abstract/authors), MSC classification (11M26, 11M06, 11Y35, 03B35?), cross-lists (cs.IT? cs.LO for Lean? probably cs.NA or just math.NT + cs.LO?).\n - Journal: cover letter, suggested referees, ORCID, funding/conflict statements, the AI-use disclosure (already in the paper), data/code availability statement (the project archive — is the repo public? It's a local git repo. Need to decide: make the archive available — GitHub repo with the Lean package, scripts, CSVs. Journals increasingly require code/data availability. The Lean package path-requires the vendored zeta-23-lean + a specific Mathlib build — for reproducibility they'd want to publish the repo with instructions, or at least the Lean files + audit script).\n4. **Repository/artifact preparation** — make the git repo public (GitHub), pin a tag, maybe Zenodo DOI for the archive. This supports the \"deterministic archived scripts\" claims.\n5. **The standing caveats before circulating**: user read-through; the theorem is conditional on computation (Platt–Trudgian + Misguich–Voros + own computations); the Lean verification is modulo SfBoundProp + perimeter — the paper states this honestly; the AI-contribution disclosure.\n6. **Practical steps in order**: (1) read-through, (2) optional polish (figures), (3) make repo public / Zenodo, (4) arXiv submission (needs endorsement — the user needs an endorser if they don't have an arXiv account with prior submissions; plan for this, it can take days), (5) journal submission after arXiv posts.\n7. **Costs**: arXiv free; journal APCs vary — Experimental Mathematics ~ no APC for standard (subscription) route, open access optional with APC; Research in Number Theory is OA with APC (~$1500-2500, waivers exist); Math of Comp subscription route no APC. Mention waivers for independent researchers.\n8. **Referee-proofing checklist** — what a referee will ask: the Platt–Trudgian dependency (cite precisely), Misguich–Voros citation (voros2017li — the bibtex warned \"empty journal in voros2017li\" — fix that bib entry!), the M₀ grid-verified constant (E-023b upgrade optional), the \"first assembled explicit chain\" novelty claim (be ready to defend), the SfBoundProp perimeter honesty (it's the paper's strength).\n\nImportant concrete details I should verify/flag:\n- The bibtex warning: \"empty journal in voros2017li\" — the references.bib entry for voros2017li (Misguich–Voros) has an empty journal field. That's a real submission blocker for a journal (incomplete reference). I should offer to fix it — it's arXiv 1703.02844? Actually the Misguich–Voros paper: \"The Li/Keiper coefficients... \" hmm. Voros 2017 Li paper in references.bib is `voros2017li` — the published version: A. Voros, \"An asymptotic criterion in an explicit sequence...\"? Let me not guess the exact journal from memory — I can look at the bib entry and suggest completing it. Actually I could check references.bib now and fix or at least report.\n- arXiv endorsement requirement for first-time submitters in math.NT — important practical detail.\n- ORCID — needed for most journal submissions; free to register.\n- The user is \"Dan T Nguyen, Research Ai\" — independent researcher presumably; no institutional affiliation issues for arXiv; journals accept independent researchers.\n\nAlso things I must NOT do: submit anything myself, create accounts, etc. This is guidance + repo prep I can do locally.\n\nShould I check the references.bib voros2017li entry now? Yes — quick check makes the answer concrete and I can fix it immediately (it's a real defect found by the build). Let me look at it.\n\nAlso the Lean package reproducibility: NguyenRH1 path-requires ../../../zeta-23-lean and its .lake/packages/mathlib — for public release, better to pin mathlib as a git require with a rev, or document the exact vendored setup. Simpler: publish the whole repo (including zeta-23-lean vendored? it's a git clone of the Anthropic challenge repo at tag v1.0 — redistributable, it's public). Provide a README for the Lean build: elan toolchain v4.33.0-rc2, clone zeta-23-lean v1.0, lake build, etc. That's a repo-readiness task I can do when they decide to publish.\n\nStructure the answer:\n1. What you're submitting (current artifact state).\n2. Pre-submission checklist (must-fix: the voros2017li bib entry; recommended: user read-through, repo publication, optional figures/E-023b).\n3. Route A: arXiv (steps, requirements incl. endorsement, what files arXiv wants — source not PDF, license, categories, timeline).\n4. Route B: journal (venue shortlist with fit reasoning, what submission needs: cover letter draft points, ORCID, disclosures already in paper, data availability statement, suggested referees, APCs/waivers).\n5. Order of operations recommendation: fix bib → read-through → repo public + Zenodo DOI → arXiv → journal.\n6. What I can do vs what only they can do (accounts, endorsements, submission clicks, cover letter signature).\n\nKeep it organized and practical. Let me first check the bib entry so the report is concrete.","signature":""},{"type":"text","text":"Good question — let me first check one concrete defect the build already flagged (an incomplete reference entry), then give you the full submission map."},{"type":"tool_use","id":"Bash_247","name":"Bash","input":{"command":"grep -A 10 \"@article{voros2017li\" D:/Python/Quantum/research/paper/references.bib; echo ---; grep -A 8 \"@article{platt2021riemann\" D:/Python/Quantum/research/paper/references.bib | head -10","description":"Inspect the incomplete bib entry flagged at build"},"extra_content":null}]