exponential-topology-communication

exponential-topology-communication is a skill for Codex from plurigrid/asi. It costs 0 tokens per session (609 once invoked), scanned A, original, MIT.

A communication model for large groups of connected agents that places them in a curved mathematical space and routes messages through that structure. The description includes methods for efficient routing, broadcasting, and fault tolerance.

In plain words
What is it for?
Use it to design agent networks, study scalable message routing, balance communication load, and analyze broadcast performance.
Why use it?
It targets the difficulty of spreading information and finding routes as the number of agents grows. The listed methods are intended to reduce routing work and improve communication resilience.

Skill for Codex

Written for Codex: installed under .codex/.

Good fit Use it to design agent networks, study scalable message routing, balance communication load, and analyze broadcast performance.

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Install with agentmods
npx agentmods add skills/plurigrid/asi/exponential-topology-communication
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 plurigrid/asi --skill exponential-topology-communication
Clone the repo
git clone --depth 1 https://github.com/plurigrid/asi

Made for: 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 exponential-topology-communication

README.md
[![agentmods](https://agentmods.dev/badge/skills/plurigrid/asi/exponential-topology-communication/github.svg)](https://agentmods.dev/skills/plurigrid/asi/exponential-topology-communication)
Your own site
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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 exponential-topology-communication

Your own site · 80×15
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Per session 0 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 609 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. 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 $0.00000 $0.00609
Opus 5 $0.00000 $0.00304
Sonnet 5 $0.00000 $0.00122
Haiku 4.5 $0.00000 $0.00061

Measured 7d ago against content hash c64625ee1555, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

exponential-topology-communication scanned grade A with 0 findings 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 7d 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.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

ies/music-topos/.codex/skills/exponential-topology-communication/SKILL.md · 80 lines

How it starts

The opening of the file, as written. The whole thing — 80 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Exponential Topology Communication

Category: Phase 3 Core - Scalable Communication Status: Skeleton Implementation Dependencies: oriented-simplicial-networks (for topological structure)

Overview

Implements ExpoComm framework for exponentially efficient communication in large-scale systems using hyperbolic embeddings, O(log N) routing, and spectral gap optimization for rapid information dissemination.

Capabilities

  • Hyperbolic Embeddings: Embed agents in hyperbolic space
  • O(log N) Routing: Greedy routing with logarithmic complexity
  • Spectral Gap Optimization: Maximize mixing time via graph structure
  • Scalable Broadcast: Efficient all-to-all communication

Core Components

  1. Hyperbolic Embeddings (hyperbolic_embeddings.jl)

    • Poincaré disk model
    • Greedy embedding algorithms
    • Distance computation
  2. ExpoComm Routing (expocomm_routing.jl)

    • Greedy hyperbolic routing
    • Load balancing strategies
    • Fault tolerance
  3. Spectral Optimization (spectral_optimization.jl)

    • Graph Laplacian analysis
    • Spectral gap maximization
    • Expander graph construction
  4. Scalability Analysis (scalability_analysis.jl)

    • Communication complexity bounds
    • Scaling experiments
    • Comparison with Euclidean approaches

Integration Points

  • Input from: oriented-simplicial-networks (communication topology)
  • Output to: emergent-role-assignment (communication structure influences roles)
  • Coordinates with: sheaf-theoretic-coordination (consensus over hyperbolic graphs)

Usage

using ExponentialTopologyCommunication

# Create network of N agents
N = 1000
graph = random_power_law_graph(N, exponent=2.5)

# Compute hyperbolic embeddings
embeddings = hyperbolic_embedding(graph, dim=2)

# Route message from source to target
path = greedy_route(embeddings, source=1, target=N)
@assert length(path) <= 2 * log2(N)  # O(log N) guarantee

# Analyze spectral properties
spectral_gap = compute_spectral_gap(graph)
mixing_time = estimate_mixing_time(spectral_gap, N)

Read the full file on GitHub · 80 lines

Files

What ships with it

1 file 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. 7d ago First seen · 80 lines · 0 tokens per session scan A c64625ee1555

Subscribe to this mod's changes

exponential-topology-communication is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It costs nothing until one of its globs matches a file; then it loads 609 tokens. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

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