Mathematical City Mini-Labs

THE MATHEMATICAL CITY · UNIFIED INTERFACE

Mini AI Labs

Six questions. One cycle.

STRUCTURE → INVARIANCE → DYNAMICS → MEMORY → MEASUREMENT → PREDICTION → STRUCTURE

01

SPECTRA

STRUCTURE

What structure is there?

E0/E1 substrate; visualization layer

Launch

City page

02

Fold

INVARIANCE

What survives transformation?

E2 visualization / challenge layer

Launch

City page

03

Murmuration

DYNAMICS

How does structure move and reorganize?

E1/E2 depending on reconstruction vs synthetic trajectory

Launch

City page

04

Mnemosyne

MEMORY

What did we know, and when did we know it?

Commit / reveal / provenance discipline

Launch

City page

05

Density

MEASUREMENT

What can we reconstruct from incomplete observation?

E2 visualization; measurement only

Launch

City page

06

Horizon

PREDICTION

What invariant comes next?

E2 synthetic prospective forecast

Launch

City page

MNEMOSYNE · OPEN SEAL UTILITY

Paste a JSON forecast packet. This computes a deterministic SHA-256 commitment locally in your browser. It sends and stores nothing. Copy the output to retain your seal.

{"t":30,"event":"birth","beta_from":1,"beta_to":2,"tau_hat":1.976499} Seal packet

Evidence boundaries remain typed per lab. This interface is a launch-and-registry surface, not an evidence-class promotion mechanism.

Machine-readable City registry · Online City Labs endpoint

Local seal format: UTF-8 JSON with recursively sorted object keys and preserved array order. Seal API: POST {"action":"seal","forecast":{...}} to the online endpoint.

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Spectra and Fold