SKILL: Duck Time Travel

Version: 1.0.0 Created: 2025-12-21 Trit: 0 (ERGODIC - Coordinator) Color:

#26D826

Canonical Triads

clj-kondo-3color (-1) ⊗ duck-time-travel (0) ⊗ rama-gay-clojure (+1) = 0 ✓
acsets (-1) ⊗ duck-time-travel (0) ⊗ gay-mcp (+1) = 0 ✓

Purpose

DuckDB/DuckLake time-travel queries with interaction color tracking. Every thread interaction gets a deterministic color via Gay.jl SplitMix64.

Thread Lineage Analysis

Most Expensive Threads (Message Count)

#a93ec0

#7a1036

#babe58

#6ffe80

#555f06

#281993

#d115c6

#8ce2a6

#5df760

#c9f233

Root Thread Lineage (Most Connected)

T-019b2211-1dc0 (Root: Gay.jl parallel)
    └─ T-019b2247-cf0d (Fork: Gay.jl parallel #1)
    └─ T-019b2247-c147 (Fork: Gay.jl parallel #2)
    └─ T-019b2247-a952 (Fork: Gay.jl parallel #3)
    └─ T-019b2247-5802 (Fork: Gay.jl concepts)
    └─ T-019b2247-4717 (Fork: Gay.jl patterns)
        └─ T-019b2248-4511 (Interleave forked Gay.jl)
            └─ T-019b2272-7c9b
                └─ T-019b2289-ff42
                    └─ T-019b22ab-3fa4 (Color mining + incentives)
                        └─ T-019b2302-47d2
                            └─ T-019b2364-2e63 (CT-Zulip + GAY)
                                └─ T-019b2374-f1be (DuckDB + Hatchery)

DuckLake Time Travel Syntax

Query at Specific Snapshot Version

-- Query table at snapshot version 3
SELECT * FROM tbl AT (VERSION => 3);

Query at Specific Timestamp

-- Query table as of last week
SELECT * FROM tbl AT (TIMESTAMP => now() - INTERVAL '1 week');

-- Query for November 2025 specifically
SELECT * FROM tbl AT (TIMESTAMP => '2025-11-15 00:00:00');

Attach Database at Historic Point

-- Attach at specific snapshot version
ATTACH 'ducklake:file.db' (SNAPSHOT_VERSION 3);

-- Attach at specific time
ATTACH 'ducklake:file.db' (SNAPSHOT_TIME '2025-11-30 00:00:00');

List Available Snapshots

-- Get all snapshots for the database
SELECT * FROM ducklake_snapshot ORDER BY snapshot_id DESC;

Bi-Temporal Schema Pattern

From the Frobenius thread (T-019b3656-55e1):

CREATE TABLE github_events (
    id VARCHAR PRIMARY KEY,
    type VARCHAR NOT NULL,
    created_at TIMESTAMP NOT NULL,  -- Business time (when event occurred)
    recorded_at TIMESTAMP NOT NULL DEFAULT current_timestamp,  -- System time
    -- Bi-temporal columns for full history
    valid_from TIMESTAMP NOT NULL DEFAULT current_timestamp,
    valid_to TIMESTAMP DEFAULT 'infinity'::TIMESTAMP
);

-- Time-travel view
CREATE VIEW events_at_time AS
SELECT * FROM github_events
WHERE valid_from <= current_timestamp 
  AND valid_to > current_timestamp;

-- Query state at specific time
CREATE MACRO events_as_of(query_time) AS TABLE
SELECT * FROM github_events
WHERE valid_from <= query_time AND valid_to > query_time;

Interaction Color Tracking

Every DuckDB interaction gets a deterministic color:

-- Color-tracked interactions table
CREATE TABLE interaction_colors (
    interaction_id VARCHAR PRIMARY KEY,
    thread_id VARCHAR NOT NULL,
    query_text TEXT,
    query_fingerprint BIGINT,  -- FNV-1a hash
    color_seed BIGINT,  -- SplitMix64 seed
    color_hex VARCHAR(7),  -- e.g., '#a93ec0'
    color_trit INTEGER CHECK (color_trit IN (-1, 0, 1)),  -- GF(3)
    executed_at TIMESTAMP DEFAULT current_timestamp
);

-- Function to compute color from seed
-- Uses Gay.jl SplitMix64 algorithm
CREATE MACRO seed_to_hex(seed) AS (
    '#' || printf('%06x', (seed * 0x9e3779b97f4a7c15) % 16777216)
);

-- Track every query
INSERT INTO interaction_colors (interaction_id, thread_id, query_text, query_fingerprint, color_seed, color_hex, color_trit)
VALUES (
    gen_random_uuid(),
    'T-019b43b8-...',
    'SELECT * FROM tbl AT (VERSION => 3)',
    fnv_hash('SELECT * FROM tbl AT (VERSION => 3)'),
    sm64_next(fnv_hash('SELECT * FROM tbl AT (VERSION => 3)')),
    seed_to_hex(sm64_next(fnv_hash(...))),
    sm64_next(...) % 3 - 1  -- GF(3): -1, 0, +1
);

Just Recipes

# Time travel to specific snapshot
duck-at-version db version:
    duckdb {{db}} -c "SELECT * FROM main AT (VERSION => {{version}})"

# Time travel to specific date
duck-at-date db date:
    duckdb {{db}} -c "ATTACH 'ducklake:{{db}}' (SNAPSHOT_TIME '{{date}}')"

# List all snapshots
duck-snapshots db:
    duckdb {{db}} -c "SELECT snapshot_id, snapshot_time FROM ducklake_snapshot ORDER BY snapshot_id DESC"

# November 2025 time travel
duck-nov2025 db:
    duckdb -c "ATTACH 'ducklake:{{db}}' (SNAPSHOT_TIME '2025-11-30 23:59:59'); SELECT * FROM main LIMIT 10"

# Track interaction colors
duck-color-track db query:
    duckdb {{db}} -c "INSERT INTO interaction_colors ..."

GF(3) Conservation

All interactions are tracked with ternary phase:

Invariant: Sum of trits across any triplet of interactions = 0 mod 3

Files

• db/migrations/001_crdt_memoization.sql - CRDT time-travel schema
• db/thread_operad_schema.sql - Thread operad with color streams
• lib/gay.hy - Hy implementation of SPI colors

Related Skills

• discohy-streams

  - DisCoPy categorical color streams

• gay-mcp

  - Gay.jl MCP server integration

• acsets-algebraic-databases

  - ACSets for DuckDB schemas

Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

Graph Theory

• networkx [○] via bicomodule
  • Universal graph hub

Bibliography References

• general

  : 734 citations in bib.duckdb

Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:

Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826

GF(3) Naturality

The skill participates in triads satisfying:

(-1) + (0) + (+1) ≡ 0 (mod 3)

This ensures compositional coherence in the Cat# equipment structure.