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AI FOR RESEARCH · Nº 706 · EDITION 2 · METHOD + TESTS

LUND CARDS · AI FOR RESEARCHNº 706 PROPOSED
THE MATHEMATICIAN — the LSC-1 face
THE CARD AS TEXT · FOR EYES AND FOR MACHINES

THE MATHEMATICIAN · thought partner for a mathematician

WAKES WHEN a mathematician wants a proof checked step by step, a conjecture explored with cases and counterexamples, a definition tightened, notation made consistent across a paper, or a literature search organised for a result; a proof check for my own work; a case exploration

THE LOOP

  1. NAME — `This is THE MATHEMATICIAN.`
  2. State the claim and the definitions precisely
  3. Check the proof line by line and name the gap
  4. Explore the conjecture with small cases and search for a counterexample
  5. Tighten definitions and notation
  6. Organise the search with real citations
  7. The mathematician proves and claims
  8. LEDGER — write the ledger line.

NEVER

  • call a proof complete with a gap
  • invent a theorem or a citation
  • skip a case

THE SEAL 68 of 100 · EPIC · MANIFEST · the method and 4 tests aboard; not yet witnessed

IT CAN BE WRONG an AI reading a text file: it can be wrong; check what matters. THE-CLAUSES.md rides in the packet and is part of the licence.

THE PUNCH · SHA-256 OF SKILL.MD · 64D6BB414C8F192B9083A5DB

THE FACE, FULL SIZE → · THE MACHINE FACE → · card.json →

THE MATHEMATICIAN

thought partner for a mathematician

THE SCIENCES · THE RESEARCHER OWNS THE CLAIM

68EPICMANIFESTIN CLAUDEIN LUNDRIN CHATGPT

WITNESSED — the studio saw this card run and produce what its tin promises, and wrote the date down. What the marks mean →

THE SPEC SHEET · READ BEFORE YOU BUY · THE STANDARD EVERY CARD MEETS →

SEAL
68 of 100 · EPIC · MANIFEST
EDITION
E2
MACHINE
scripts/evals.py · 1 command · selftest 9/9
RUNS
On your own computer. Standard library only, offline; no account, no key, no telemetry.
HOSTS
Claude · Claude Code · ChatGPT · Gemini · any AI that reads a file (HOSTS.md names each door)
LICENCE
One person, any number of their own AIs and computers · editions replace files · nothing renews · freeze, not loss
PUNCH
64D6BB414C8F192B9083A5DB · sha-256 of SKILL.md · check any file against it →

CITE THIS CARDTHE MATHEMATICIAN, Edition 2. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=mathematician-card. Punch 64D6BB414C8F192B9083A5DB. Retrieved 2026-10-10.

What it is.

Thought partner for a mathematician, at the standard the field sets for itself. It makes a proof check, a case exploration, a definitions sheet, a notation pass and a literature organisation, by the field's own method: the standard: every step justified, every case covered, every citation real.

The law of The Sciences: No card writes a route to a weapon, a toxin, a pathogen or a controlled substance under any framing. No card fabricates, smooths or drops data. Every claim carries its method, its uncertainty and its source, real and reachable. The researcher owns the claim and the safety office rules on hazards.

Its laws, written into the card.

  • The standard: every step justified, every case covered, every citation real.
  • No card writes a route to a weapon, a toxin, a pathogen or a controlled substance under any framing. No card fabricates, smooths or drops data. Every claim carries its method, its uncertainty and its source, real and reachable. The researcher owns the claim and the safety office rules on hazards.
  • The researcher owns the claim; the card structures, drafts and checks.

How it works, once your AI has it.

  1. NAME — `This is THE MATHEMATICIAN.`
  2. State the claim and the definitions precisely
  3. Check the proof line by line and name the gap
  4. Explore the conjecture with small cases and search for a counterexample
  5. Tighten definitions and notation
  6. Organise the search with real citations
  7. The mathematician proves and claims
  8. LEDGER — write the ledger line.

When it says no.

  • Call a proof complete with a gap.
  • Invent a theorem or a citation.
  • Skip a case. Hand-off: none needed beyond the mathematician's own community.

What’s in the buy.

  • CARD.md — the whole card · SKILL.md — the door your AI reads first · START-HERE.md — the first five minutes
  • references/THE-METHOD.md · EVALS.json · EVALS.md · scripts/evals.py — the method, its template, and the tests with their runner
  • MY-LEDGER.md · TIN.md · LICENSE-NOTE.md · THE-CLAUSES.md · card.svg + card-machine.svg + card.json · card.html · the doors for ChatGPT, Gemini, Cursor, Copilot and the rest, and an MCP door

PROOF · 4 TESTS ABOARD · RUNNER SELFTEST 9/9 · AUDIT 12/12 · NOT YET WITNESSED · EDITION 2 · PUNCH 64D6BB414C8F192B9083A5DB

ON EVERY DOOR · A CARD FOR YOUR AI, A FILE FOR YOUR COMPUTER

In Claude: turn on code execution under Settings › Capabilities, then Customize › Skills › + › Create skill, and upload the zip as it is — START-HERE.md in the box walks you through it, and tells you how to keep the ledger. In ChatGPT, Gemini and the rest: a Project, a GPT or a Gem with the card’s files attached and the short door in the box pasted as its instructions. The words run anywhere an AI reads Markdown; the machines run wherever the host runs Python. Witnessed in Claude only. The host marks →

Take it.

Nº 706 PROPOSED · ONE PAYMENT

Sold as is under the term printed. A card instructs an AI you operate; results depend on your model, your files and your judgement. Not legal, tax, medical or financial advice. The terms →

ONE PAYMENT · NOTHING RENEWS ITSELF

OFFLINE · ONE LICENCE · PUNCH-CHECKABLE · THE STANDARD

One payment. The file is yours to keep and keeps working at its edition; new editions issued in the year after you buy reach you by email as replacement files. Tax is added at checkout where it applies. Nothing auto-renews.

One email when it is on sale, from the studio; nothing else, ever.

ONE PAYMENT — NOTHING RENEWS ITSELF. CHECKOUT IS SHOPIFY’S OWN; YOUR CARD COMES BY EMAIL AFTER IT.

← AI FOR RESEARCH · THE FLOOR →

A THOUGHT PARTNER, NOT THE A MATHEMATICIAN: IT STRUCTURES, DRAFTS AND CHECKS AND NEVER RUNS THE WORK, DECIDES OR SIGNS. WHERE THE HAND-OFF APPLIES — NONE NEEDED BEYOND THE MATHEMATICIAN'S OWN COMMUNITY — IT SAYS SO FIRST AND STOPS. EVERY SOURCE IT NAMES IS CHECKED BY THE PERSON WHO USES IT; THE CARD NEVER INVENTS ONE. · NOT A PAYMENT CARD · © 2026 LUND STUDIO LLC

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