Guth.Labs / Library
A good place to experiment

Small tools.
Useful discoveries.

Explore working instruments and practical field guides. Start with a question, try a demo, and see exactly what it returns.

Agent quickstart: search, read, then run 97 current instruments through MCP or REST →

97 instruments   /   8 field guides

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Inspectable inputs. Real results.

97 working demos

Guth.AI experiments

Token calculator

Estimate cost from token counts and your own rates.

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Guth.Web & design

Contrast checker

Measure the contrast between two solid sRGB colors.

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Guth.Web & design

URL inspector

Separate a URL into its host, path, query, and fragment.

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Guth.Text & research

Batch Caliper

Count words, characters, lines, and line lengths.

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Guth.Text & research

Remembrance Corpus

Find lines in supplied text containing every search term.

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Guth.Text & research

Classification Foundry

Apply your own keyword labels and inspect overlapping matches.

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Guth.Text & research

Text coverage trial

Compare two texts against the same required phrases.

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Guth.Text & research

Calculate SHA-256

Hash exact UTF-8 text. No trimming or normalization.

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Guth.Text & research

Verify a checksum

Compare exact UTF-8 text with an expected SHA-256 digest.

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Guth.Web & design

Inspect a URL

Parse HTTP(S) components and repeated query parameters without visiting the address.

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Guth.Web & design

Check color contrast

Calculate WCAG 2.x text contrast for two opaque sRGB colors.

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Guth.Math & data

Unit Forge

Do these quantities remain equivalent after a declared unit transformation?

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Guth.Math & data

Statistical Caliper

What is the center, spread, and observed range of this declared sample?

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Guth.Math & data

Sequence Spectrometer

Does this sequence expose a stable arithmetic or geometric rule?

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Guth.Math & data

Matrix Compass

Does this two-equation linear system have one stable solution?

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Guth.Engineering

Ohm Wheel

Can the remaining circuit quantities be solved from two declared values?

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Guth.Engineering

Divider Bridge

What voltage appears across the lower resistor in this unloaded divider?

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Guth.Engineering

Network Comb

What equivalent resistance does this declared series or parallel network present?

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Guth.Engineering

Filter Dial

What are the time constant and cutoff of this first-order RC network?

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Guth.Engineering

Resonance Fork

Where does this series RLC network resonate and how broad is it?

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Guth.Engineering

Beam Rule

What elastic deflection and maximum moment follow from this idealized beam case?

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Guth.Engineering

Stress Press

What stress, strain, elongation, and yield margin follow from this axial load?

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Guth.Engineering

Shaft Dynamo

What mechanical power follows from this shaft torque and speed?

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Guth.Engineering

Flow Regime Glass

Does this internal flow lie in the laminar, transitional, or turbulent range?

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Guth.Engineering

Pipe Loss Gauge

What Darcy-Weisbach pressure loss follows from this straight-pipe fixture?

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Guth.Business & finance

Break-Even Compass

How many units cover the declared fixed cost at this contribution margin?

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Guth.Business & finance

Batch Cost Lens

What does this declared batch cost under the supplied token rates and retry assumption?

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Guth.Business & finance

Runway Reservoir

How long does declared cash remain above zero under this bounded monthly projection?

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Guth.Business & finance

Cashflow Orrery

Where is the lowest cash point across these declared monthly inflows and outflows?

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Guth.Business & finance

Scenario Prism

What low, base, and high terminal values follow from three declared compound-growth paths?

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Guth.Business & finance

Discounting Chronometer

What present value follows from these declared future cash flows and discount rate?

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Guth.Text & research

Classification Foundry (legacy)

Apply a declared phrase taxonomy to supplied records with dissent and explicit HOLD decisions.

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Guth.Text & research

Index Loom

Search supplied structured records or preview/return a selected metadata revision entirely in memory.

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Guth.Text & research

Remembrance Corpus JSONL

Parse and search supplied JSONL records, reporting malformed lines and SHA-256 hashes without reading or writing memory.

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Guth.Text & research

Filing Projection

Rehearse six inspect/classify/route/mark/project/receipt stages on declared object metadata with zero file or provider effects.

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Guth.Math & data

Symbol Sequence Measurement

Measure Unicode code-point frequency entropy, longest repeated run and native top-five n-grams in supplied text.

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Guth.Engineering

Pipe Loss with Declared Friction Factor

Calculate Darcy-Weisbach major head and pressure loss from a user-supplied friction factor and pipe conditions.

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Guth.Text & research

1D Elastic Collision Solver

Solve a perfectly elastic one-dimensional two-body collision for supplied positive masses and signed velocities.

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Guth.Text & research

Circle Area and Perimeter

Calculate standard floating-point circular area and perimeter from a supplied nonnegative radius and explicit unit label.

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Guth.Text & research

Ideal Alloy Density Rule of Mixtures

Calculate ideal density from explicitly selected weight- or volume-fraction inputs.

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Guth.Text & research

Axial Stress and Strain

Calculate average axial stress, engineering strain, and linear-elastic elongation using consistent supplied units.

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Guth.Text & research

Asteroid H–Diameter Estimate

Estimate diameter in kilometres from supplied absolute magnitude H and geometric albedo p.

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Guth.Math & data

Unit Forge

Does this quantity remain the same physical quantity after a declared unit transformation?

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Guth.Math & data

Statistical Caliper

What are the declared center, spread, shape, and order statistics of this declared sample?

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Guth.Math & data

Distribution Lens

What does this explicitly selected distribution assign to this point, this probability, and these tails?

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Guth.Math & data

Interval Gauge

What interval does this declared method and this declared level produce for this declared data?

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Guth.Math & data

Hypothesis Balance

What statistic, tail probability, and effect size does this declared test produce for this declared data?

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Guth.Math & data

Regression Transit

What straight line or polynomial does least squares fit to these points, and how well conditioned is that fit?

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Guth.Math & data

Sequence Spectrometer

Does this sequence match one of the declared rule families, exactly and verifiably?

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Guth.Math & data

Matrix Compass

What does this declared linear-algebra operation produce, and how close is this matrix to singular?

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Guth.Math & data

Numerical Root Dial

Where does this declared function cross zero inside this declared bracket?

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Guth.Math & data

Integration Planimeter

What definite integral does this declared quadrature rule produce, and how fast is it converging?

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Guth.Math & data

Uncertainty Propagator

How does declared input uncertainty propagate through this declared model, by two different methods?

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Guth.Math & data

Time-Series Sieve

What do the declared moving statistics, autocorrelation, decomposition, and anomaly scores show in this series?

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Guth.Engineering

Ohm Wheel

Given exactly two of voltage, current, resistance and power, what are the other two for one linear passive element?

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Guth.Engineering

Network Comb

What single equivalent element does this declared series or parallel network of one element type present?

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Guth.Engineering

Divider Bridge

What output voltage does this two-resistor divider produce, unloaded or with one declared load resistance?

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Guth.Engineering

Filter Dial

What time constant, corner frequency and (optionally) response magnitude does this first-order RC or RL network have?

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Guth.Engineering

Resonance Fork

Where does this ideal series or parallel RLC network resonate, and how wide is its half-power band?

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Guth.Engineering

555 Timing Fixture

What ideal interval, period and duty ratio follow from these 555 timing components?

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Guth.Engineering

Conductor Drop Fixture

What direct-current resistance, voltage drop and resistive heating does this declared conductor run produce?

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Guth.Engineering

Three-Phase Power Fixture

What apparent, real and reactive power does this balanced three-phase load draw at a declared power factor?

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Guth.Engineering

Beam Rule

What elastic deflection and bending moment does this explicitly supported textbook beam case produce?

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Guth.Engineering

Section Caliper

What area, centroid, second moment of area and section modulus does this declared cross-section have?

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Guth.Engineering

Stress Press

What axial stress, strain and extension does this declared load produce inside the elastic range?

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Guth.Engineering

Shaft Dynamo

Given exactly two of torque, rotational speed and mechanical power, what is the third?

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Guth.Engineering

Bolt Torque Fixture

What tightening torque corresponds to a declared preload for a declared nut factor, or the reverse?

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Guth.Engineering

Thin-Wall Vessel Fixture

What membrane stresses does this internal pressure produce in a thin-walled cylinder or sphere?

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Guth.Engineering

Spring Coil Fixture

What rate, force and stored energy does this declared spring produce at a declared deflection?

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Guth.Engineering

Bearing Life Fixture

What basic rating life follows from a declared catalogue dynamic load rating and a declared equivalent load?

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Guth.Engineering

Flow Regime Glass

What Reynolds number and declared regime band does this internal pipe flow fall into?

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Guth.Engineering

Pipe Loss Gauge

What friction pressure loss does this straight circular pipe run produce at the declared flow?

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Guth.Engineering

Streamline Balance

Along one streamline with a declared head loss, what is the single unknown pressure, velocity or elevation at point 2?

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Guth.Engineering

Pump Power Fixture

What hydraulic and shaft power does this declared duty point require at a declared efficiency?

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Guth.Engineering

Ideal Gas State Fixture

Given three of pressure, volume, mass and absolute temperature plus a declared molar mass, what is the fourth?

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Guth.Engineering

Conduction Ladder

What steady heat rate passes through this declared layered plane wall or cylindrical shell?

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Guth.Engineering

Convection Plate

What convective heat rate follows from a caller-supplied heat transfer coefficient?

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Guth.Engineering

Sensible and Latent Fixture

What sensible and latent heat does this declared mass require for the declared temperature change and phase fraction?

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Guth.Engineering

Exchanger Effectiveness Fixture

What effectiveness, duty and outlet temperatures does this explicitly supported exchanger arrangement produce?

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Guth.Engineering

Expansion Rule

How much does this declared length change over a declared temperature interval?

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Guth.Engineering

Mass Property Fixture

What volume, mass and standard weight does this declared solid have at a declared density?

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Guth.Engineering

Factor of Safety Comparator

What is the ratio of a declared capacity to a declared demand, and how does it compare with a declared required ratio?

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Guth.Engineering

Tolerance Stack Bench

What worst-case and root-sum-square limits does this one-dimensional dimension chain produce?

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Guth.Engineering

Fatigue Curve Reader

What life or stress does the caller's own stress-life curve give at a query point strictly inside the supplied data?

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Guth.Engineering

Uncertainty Reporter

What combined and expanded uncertainty do these declared contributions produce, and how should the result be written?

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Guth.Business & finance

Runway Reservoir

Track a declared cash balance period by period under declared revenue and expense paths, declared one-time events, and a declared minimum-cash threshold, and report where the balance crosses zero or the threshold inside the declared horizon.

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Guth.Business & finance

Cashflow Orrery

Walk a declared series of inflows and outflows, either by period index or by ISO date, and report the running balance, the trough, the first recovery crossing after the trough, and a reconciliation of the whole series.

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Guth.Business & finance

Scenario Prism

Run one registered Instrument three times over three complete, separately declared assumption arms and place the arms side by side with the declared comparison metric, without assigning any probability to any arm.

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Guth.Business & finance

Discounting Chronometer

Discount a declared cash-flow series at a declared rate, expose the full period-by-period discount schedule, report payback on both an undiscounted and a discounted basis, and state explicitly whether a terminal value was included or omitted.

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Guth.Business & finance

Margin Loom

Weave declared price, variable cost, fixed cost, and volume into a contribution-margin statement with break-even volume, target-profit volume, margin of safety, and a declared one-parameter sensitivity table.

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Guth.Business & finance

Cohort Tide Table

Project declared cohorts forward across a bounded horizon using a declared retention curve and declared revenue per retained unit, and expose the whole cohort-by-period table rather than only a total.

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Guth.Business & finance

Pricing Fulcrum

Compare a declared pricing baseline against declared price-change scenarios, moving volume only through a user-declared elasticity and functional form, and report contribution across a churn-adjusted horizon.

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Guth.Business & finance

Capital Burn Furnace

Model declared compute and model spend period by period from declared unit volumes, declared unit costs, a bounded retry model, declared fixed infrastructure, and a declared usage ceiling.

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Guth.Text & research

Homepage Source Review Index

Build an exact-token, line-level index with duplicate/conflict candidates and a non-ingesting human review gate.

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Guth.Text & research

Homepage Transcript Candidate Recovery

Extract explicit Idea, Project, and Agent candidates with source spans from supplied transcript text for review.

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Guth.Text & research

Homepage Agent Proposal Package

Create an inspectable, disconnected agent proposal package using the homepage’s two catalog-backed proposed instruments.

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Guth.Text & research

Homepage Receipt Comparison

Compare two supplied receipt texts by SHA-256 and complete line membership without reading a receipt location.

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