Thinking·OS

Graph explorer

Explore the knowledge graph

Public-key cryptography is part of Cryptography. Activate to inspect this relation.Digital signature is part of Cryptography. Activate to inspect this relation.Divisibility applies to Integer. Activate to inspect this relation.Modular arithmetic applies to Divisibility. Activate to inspect this relation.One-way function depends on P versus NP. Activate to inspect this relation.RSA cryptosystem is a Public-key cryptography. Activate to inspect this relation.Elliptic-curve cryptography is a Public-key cryptography. Activate to inspect this relation.Zero-knowledge proof depends on Public-key cryptography. Activate to inspect this relation.Homomorphic encryption is a Public-key cryptography. Activate to inspect this relation.Post-quantum cryptography applies to Public-key cryptography. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Divisibility. Activate to inspect this relation.RSA cryptosystem depends on Modular arithmetic. Activate to inspect this relation.RSA cryptosystem depends on One-way function. Activate to inspect this relation.Elliptic-curve cryptography depends on Modular arithmetic. Activate to inspect this relation.Digital signature depends on One-way function. Activate to inspect this relation.RSA cryptosystem enables Digital signature. Activate to inspect this relation.Modular arithmeticRSA cryptosystemElliptic-curve cryptographyDivisibilityOne-way functionDigital signaturePublic-key cryptographyFundamental theorem of arithmeticIntegerP versus NPCryptographyZero-knowledge proofHomomorphic encryptionPost-quantum cryptography
Relationship types
Legend
  • Focused concept
  • Connected concept
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
14 concepts16 relationships6 disciplines4 relation families

Modular arithmetic

Open concept →

At a glance

Modular arithmetic wraps numbers around a fixed modulus — clock arithmetic — underpinning cryptography and coding.

Disciplines
Number Theory · Mathematics
Role in the graph
Cross-disciplinary bridge — reaches Cryptography
Relationships
3 · 2 relation families

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 6 disciplines: Arithmetic, Computational Complexity, Computer Science, Cryptography, Mathematics, Number Theory.
  • Modular arithmetic is a bridge concept — viewed here through Mathematics, Number Theory.
  • The connections here span 4 relation families.

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

Explore through a different lens

A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.