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← Session 18 — Lean tier (ii): finite-height proof + certified base points

#789 assistant 2026-08-20 20:01:21.528 UTC · 779→382 tok open ⤢
thinking (916 chars)
The file changed since my earlier greps — line numbers shifted (Introduction now at 62, was 56) — because my earlier edits added lines. Structure: - 1–61: preamble, title, abstract - 62: Introduction - 133: Background - 181: Results - 185: §3.1 R-004 - 294: §3.2 Suzuki - 373: §3.3 valley - 436: Obstruction analysis - 466: \appendix (line 466) then 467: Numerical experiments (appendix section!) - 473: §5.1... wait 473 is "Li-coefficient machinery" — a subsection under the appendix "Numerical experiments" (line 467 is \section{Numerical experiments} AFTER \appendix at 466 — so it's Appendix A) - 496: spectral-measure program (Appendix A.2) - 528: Formal verification (Appendix B) - ~600: bibliography So the mathematician's "§3.1 + Appendices A.1/B" = R-004 + Li numerics appendix + Formal verification appendix. Exactly as I guessed. Now read the whole file carefully. 602 lines — read in chunks.
Structure mapped. Reading the full draft in chunks — preamble/abstract/intro first.
tool: Read ok
input
{
  "file_path": "D:\\Python\\Quantum\\research\\paper\\draft.tex",
  "offset": 1,
  "limit": 132
}
result 2026-08-20 20:01:21Z → 2026-08-29 00:11:11Z
{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\quantum-deploy\\docroot\\app.cgi",
    "content": "#!/opt/alt/python311/bin/python3.11\n\"\"\"WSGI->CGI adapter \u2014 runs the RH-WEBSITE Django app on Apache shared hosting.\n\nApache rewrites every non-file request to /app.cgi/<path> (see .htaccess).\nwsgiref's CGIHandler bridges the CGI environment onto Django's WSGI app.\n\"\"\"\nimport os\nimport sys\n\nDOCROOT = os.path.dirname(os.path.abspath(__file__))\nAPP = os.path.join(DOCROOT, \"app\")\n\n# Vendored pure-Python deps (Django 5.2, markdown) + the project package.\nsys.path.insert(0, os.path.join(APP, \"vendor\"))\nsys.path.insert(0, os.path.join(APP, \"web\"))\n\nos.environ.setdefault(\"DJANGO_SETTINGS_MODULE\", \"rhweb.settings\")\n# Apache mounts us at /app.cgi/<path>; present clean root URLs to Django.\nos.environ[\"SCRIPT_NAME\"] = \"\"\n\nfrom wsgiref.handlers import CGIHandler\n\nfrom rhweb.wsgi import application\n\n\nfrom urllib.parse import unquote_to_bytes\n\n\ndef _pep3333_paths(environ, start_response):\n    \"\"\"Normalize Apache's path vars to the PEP 3333 form Django needs.\n\n    Apache hands these vars either percent-encoded (mod_rewrite path)\n    or UTF-8-decoded (direct CGI path). Django (a) crashes with\n    UnicodeEncodeError on any non-latin-1 char (500) and (b) needs the\n    decoded path for URL resolution (else the resolver sees %XX and 404s).\n    So: bytes -> unquote -> re-mangle as latin-1. SCRIPT_URL/REDIRECT_URL\n    (set by mod_rewrite) are consulted by get_script_name BEFORE\n    PATH_INFO \u2014 all three must be normalized.\"\"\"\n    for key in (\"PATH_INFO\", \"SCRIPT_URL\", \"REDIRECT_URL\"):\n        v = environ.get(key)\n        if v:\n            raw = unquote_to_bytes(v)  # %XX-decodes; utf-8-encodes str first\n            environ[key] = raw.decode(\"latin-1\")\n    if \"resources\" in (environ.get(\"PATH_INFO\") or \"\"):\n        with open(os.path.join(APP, \"debug-environ.txt\"), \"a\",\n                  encoding=\"utf-8\") as fh:\n            fh.write(repr({k: environ.get(k) for k in\n                           (\"PATH_INFO\", \"SCRIPT_NAME\", \"SCRIPT_URL\",\n                            \"REDIRECT_URL\", \"REQUEST_METHOD\", \"HTTP_HOST\")})\n                     + \"\\n\")\n            try:\n                from django.core.handlers.wsgi import WSGIRequest\n                req = WSGIRequest(dict(environ))\n                fh.write(\"path_info=\" + repr(req.path_info) + \"\\n\")\n                from django.urls import resolve\n                m = resolve(req.path_info)\n                fh.write(\"match=\" + repr(m.kwargs) + \"\\n\")\n            except Exception as e:  # noqa: BLE001\n                fh.write(\"ERR \" + repr(e) + \"\\n\")\n            try:\n                raw = open(\"/proc/self/environ\", \"rb\").read()\n                for entry in raw.split(b\"\\x00\"):\n                    if entry.startswith((b\"PATH_INFO=\", b\"SCRIPT_URL=\")):\n                        fh.write(\"ENVBYTES \" + repr(entry) + \"\\n\")\n            except Exception as e:  # noqa: BLE001\n                fh.write(\"ENVBYTES ERR \" + repr(e) + \"\\n\")\n    return application(environ, start_response)\n\n\nCGIHandler().run(_pep3333_paths)",
    "numLines": 70,
    "startLine": 1,
    "totalLines": 70
  }
}
raw content_json (database row)
[{"type":"thinking","thinking":"The file changed since my earlier greps — line numbers shifted (Introduction now at 62, was 56) — because my earlier edits added lines. Structure:\n\n- 1–61: preamble, title, abstract\n- 62: Introduction\n- 133: Background\n- 181: Results\n  - 185: §3.1 R-004\n  - 294: §3.2 Suzuki\n  - 373: §3.3 valley\n- 436: Obstruction analysis\n- 466: \\appendix (line 466) then 467: Numerical experiments (appendix section!)\n  - 473: §5.1... wait 473 is \"Li-coefficient machinery\" — a subsection under the appendix \"Numerical experiments\" (line 467 is \\section{Numerical experiments} AFTER \\appendix at 466 — so it's Appendix A)\n  - 496: spectral-measure program (Appendix A.2)\n- 528: Formal verification (Appendix B)\n- ~600: bibliography\n\nSo the mathematician's \"§3.1 + Appendices A.1/B\" = R-004 + Li numerics appendix + Formal verification appendix. Exactly as I guessed.\n\nNow read the whole file carefully. 602 lines — read in chunks.","signature":""},{"type":"text","text":"Structure mapped. Reading the full draft in chunks — preamble/abstract/intro first."},{"type":"tool_use","id":"Read_206","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\paper\\draft.tex","offset":1,"limit":132},"extra_content":null}]