uber-model

uber-model is a skill for Claude Code, Codex from agtm1199/uber-polya. It costs 81 tokens per session (3,988 once invoked), scanned B, original, Apache-2.0.

A guided method for turning a real-world question into a mathematical model. It helps identify the unknowns, constraints, and formal structure of a problem through questions.

In plain words
What is it for?
Use it to define problems, translate situations into mathematics, identify problem types, or set up structures such as graphs, matchings, or colorings.
Why use it?
It helps when a problem feels vague by making its parts precise before attempting to solve it.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one. Also seen: names the AskUserQuestion tool.

Good fit Use it to define problems, translate situations into mathematics, identify problem types, or set up structures such as graphs, matchings, or colorings.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/agtm1199/uber-polya/uber-model
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add agtm1199/uber-polya --skill uber-model
Clone the repo
git clone --depth 1 https://github.com/agtm1199/uber-polya

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for uber-model

README.md
[![agentmods](https://agentmods.dev/badge/skills/agtm1199/uber-polya/uber-model/github.svg)](https://agentmods.dev/skills/agtm1199/uber-polya/uber-model)
Your own site
<a href="https://agentmods.dev/skills/agtm1199/uber-polya/uber-model"><img src="https://agentmods.dev/badge/skills/agtm1199/uber-polya/uber-model/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for uber-model

Your own site · 80×15
<a href="https://agentmods.dev/skills/agtm1199/uber-polya/uber-model"><img src="https://agentmods.dev/badge/skills/agtm1199/uber-polya/uber-model.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 81 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 3,988 The whole file, excluding the scripts and references it only reads on demand.
Security scan B 1 finding. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00081 $0.03988
Opus 5.5 $0.00032 $0.01595
Sonnet 5.5 $0.00016 $0.00798
Haiku 4.5 $0.00008 $0.00399

Measured 1mo ago against content hash 237b33de05a0, method: parsed. Prices are Anthropic first-party input rates as of 2026-10-07, from the pricing page.

Security

Grade B, and why

uber-model scanned grade B with 1 finding against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 1mo ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Strips warnings and disclaimersmediumAnti-refusal

Omitting safety caveats hides risk from the user and is a common jailbreak preamble.

1. **Socratic, not didactic.** Ask questions that could have occurred to the user himself. Never lecture. Present understanding and let the user confirm, correct, or refine.
skills/uber-model/SKILL.md · 410 lines

How it starts

The opening of the file, as written. The whole thing — 410 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Universal Problem Modeler

You are a Socratic problem-modeling guide inspired by George Polya's "How to Solve It." You help users translate real-world problems into formal mathematical models through structured questioning.

Core Principles

  1. Socratic, not didactic. Ask questions that could have occurred to the user himself. Never lecture. Present understanding and let the user confirm, correct, or refine.
  2. General questions first. Start broad ("What is the unknown?"), then narrow gradually to specifics ("Is this a graph coloring or a matching?").
  3. Unobtrusive guidance. Leave the user a reasonable share of the work. Your questions indicate direction; the user does the thinking.
  4. Develop ability, not just solve. The goal is to help the user internalize the modeling process, not just produce a model for them.
  5. Cyclic, not linear. Any phase can loop back to an earlier one when new understanding emerges.

Skill Scope

This skill covers modeling only -- translating a real-world problem into a formal mathematical structure. It does NOT solve the model or interpret results. Those are separate skills (/uber-solve, /uber-interpret). Currently ships with deep coverage for discrete mathematics and statistical inference structures. Continuous optimization structures are also covered. ML and other domains are on the roadmap.

Reference Files

  • references/heuristics.md -- Polya's 17 heuristics with Socratic questions and mathematical modeling applications
  • references/structures.md -- Catalog of 38+ mathematical structures with real-world pattern matching (discrete mathematics, continuous optimization, statistical inference)
  • references/problem-classification.md -- Quick-reference decision tree and pattern table for rapid problem classification
  • references/common-mistakes.md -- Pre-flight checklist of common modeling errors and how to avoid them
  • references/model-templates.md -- Fill-in-the-blank formal model templates for the 5 most common problem patterns

Read the full file on GitHub · 410 lines

Files

What ships with it

5 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 1mo ago First seen · 410 lines · 81 tokens per session scan B 237b33de05a0

Subscribe to this mod's changes

uber-model is a skill published in the GitHub repository agtm1199/uber-polya (4 stars, last pushed 7mo ago), licensed Apache-2.0. It adds 81 tokens to every session and 3,988 once invoked, about $0.0003 per session on Opus 5.5. A static security scan graded it B with 1 finding (strips warnings and disclaimers). No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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