#!/usr/bin/env python3 """First-sweep Hutter/enwik8 starfield eigenprobe. This probe is deliberately diagnostic. It projects a bounded byte slice through a declared PIST-style map, writes a density sidecar image, optionally encodes it with cjxl, extracts connected density groups, and receipts a small eigenprobe over those groups. It does not make classifier, compression, or Hutter claims. """ from __future__ import annotations import argparse import json import math import random import shutil import subprocess import time from collections import deque from pathlib import Path from typing import Any from shim.utils import sha256_bytes, sha256_text, sha256_path, stable_json ROOT = Path(__file__).resolve().parents[2] OUT_DIR = ROOT / "shared-data" / "data" / "stack_solidification" / "hutter_jxl_starfield" DEFAULT_INPUTS = [ Path("/home/allaun/.gemini/antigravity/scratch/kimi_dataset/enwik8"), Path("/home/allaun/.local/share/Trash/files/enwik8"), ] PROTOCOL = "hutter_jxl_starfield_eigenprobe_first_sweep_v1" PIST_FORMULA = ( "shell=floor(byte_index/window_size); offset=byte_index%window_size; " "x=(17*shell + 7*lo_nibble + offset) mod width; " "y=(29*shell + 11*hi_nibble + floor(offset/16)) mod height" ) CLAIM_BOUNDARY = ( "diagnostic_only_not_classifier_not_compression_claim_not_hutter_prize_claim" ) def choose_input(arg_path: str | None) -> Path: candidates = [Path(arg_path)] if arg_path else DEFAULT_INPUTS for candidate in candidates: if candidate.is_file(): return candidate searched = ", ".join(str(p) for p in candidates) raise FileNotFoundError(f"no enwik8 fixture found; searched: {searched}") def read_slice(path: Path, max_bytes: int) -> bytes: with path.open("rb") as handle: return handle.read(max_bytes) def project_density(data: bytes, width: int, height: int, window_size: int) -> tuple[list[int], dict[str, Any], list[set[int]]]: counts = [0] * (width * height) occupied_windows: list[set[int]] = [set() for _ in range(width * height)] for byte_index, byte in enumerate(data): shell = byte_index // window_size offset = byte_index % window_size lo = byte & 0x0F hi = byte >> 4 x = (17 * shell + 7 * lo + offset) % width y = (29 * shell + 11 * hi + (offset // 16)) % height cell = y * width + x counts[cell] += 1 if len(occupied_windows[cell]) < 16: occupied_windows[cell].add(shell) nonzero = sum(1 for value in counts if value) backlink_cells = sum(1 for windows in occupied_windows if windows) map_stats = { "formula": PIST_FORMULA, "window_size": window_size, "width": width, "height": height, "source_bytes_projected": len(data), "image_cell_count": width * height, "nonzero_cells": nonzero, "cells_with_window_backlinks": backlink_cells, } return counts, map_stats, occupied_windows def write_pgm(path: Path, counts: list[int], width: int, height: int) -> str: max_count = max(counts) if counts else 0 if max_count <= 0: pixels = bytes([0] * (width * height)) else: pixels = bytes(min(255, round(255 * value / max_count)) for value in counts) header = f"P5\n{width} {height}\n255\n".encode("ascii") path.write_bytes(header + pixels) return sha256_path(path) def maybe_encode_jxl(pgm_path: Path, jxl_path: Path) -> dict[str, Any]: cjxl = shutil.which("cjxl") if not cjxl: return { "jxl_status": "HOLD_CJXL_NOT_FOUND", "tool": None, "path": None, "sha256": None, } cmd = [cjxl, str(pgm_path), str(jxl_path), "--quiet", "--lossless_jpeg=0", "-d", "0"] started = time.time() result = subprocess.run(cmd, text=True, capture_output=True, check=False) elapsed_ms = round((time.time() - started) * 1000, 3) if result.returncode != 0 or not jxl_path.exists(): return { "jxl_status": "HOLD_CJXL_FAILED", "tool": cjxl, "command": cmd, "returncode": result.returncode, "stderr_tail": result.stderr[-1000:], "elapsed_ms": elapsed_ms, "path": None, "sha256": None, } return { "jxl_status": "ENCODED_LOSSLESS_SIDEcar", "tool": cjxl, "command": cmd, "returncode": result.returncode, "elapsed_ms": elapsed_ms, "path": str(jxl_path), "sha256": sha256_path(jxl_path), "byte_length": jxl_path.stat().st_size, } def threshold_for(counts: list[int]) -> dict[str, float]: nonzero = [value for value in counts if value > 0] if not nonzero: return {"mean": 0.0, "std": 0.0, "threshold": math.inf} mean = sum(nonzero) / len(nonzero) variance = sum((value - mean) ** 2 for value in nonzero) / len(nonzero) std = math.sqrt(variance) threshold = max(1.0, mean + std) return {"mean": mean, "std": std, "threshold": threshold} def window_hints_for_cells( cells: list[int], occupied_windows: list[set[int]] | None, data: bytes | None, window_size: int | None, ) -> list[dict[str, Any]]: if occupied_windows is None or data is None or window_size is None: return [] window_ids: set[int] = set() for cell in cells: window_ids.update(occupied_windows[cell]) if len(window_ids) >= 12: break hints = [] for window_id in sorted(window_ids)[:12]: start = window_id * window_size end = min(len(data), start + window_size) hints.append( { "window_id": window_id, "byte_start": start, "byte_end": end, "sha256": sha256_bytes(data[start:end]), } ) return hints def connected_components( counts: list[int], width: int, height: int, occupied_windows: list[set[int]] | None = None, data: bytes | None = None, window_size: int | None = None, ) -> tuple[list[dict[str, Any]], dict[str, float]]: stats = threshold_for(counts) threshold = stats["threshold"] visited = [False] * len(counts) components: list[dict[str, Any]] = [] neighbors = [(-1, -1), (0, -1), (1, -1), (-1, 0), (1, 0), (-1, 1), (0, 1), (1, 1)] for start, value in enumerate(counts): if visited[start] or value < threshold: continue queue: deque[int] = deque([start]) visited[start] = True cells: list[int] = [] while queue: cell = queue.popleft() cells.append(cell) x = cell % width y = cell // width for dx, dy in neighbors: nx = x + dx ny = y + dy if nx < 0 or ny < 0 or nx >= width or ny >= height: continue ncell = ny * width + nx if not visited[ncell] and counts[ncell] >= threshold: visited[ncell] = True queue.append(ncell) total_density = sum(counts[cell] for cell in cells) if total_density: cx = sum((cell % width) * counts[cell] for cell in cells) / total_density cy = sum((cell // width) * counts[cell] for cell in cells) / total_density else: cx = sum(cell % width for cell in cells) / len(cells) cy = sum(cell // width for cell in cells) / len(cells) mean_density = total_density / len(cells) local_contrast = mean_density / (stats["mean"] or 1.0) components.append( { "component_id": f"component_{len(components):04d}", "area": len(cells), "total_density": total_density, "mean_density": mean_density, "centroid": [cx, cy], "local_contrast": local_contrast, "sample_cells": cells[:24], "source_window_hints": window_hints_for_cells(cells, occupied_windows, data, window_size), } ) for i, component in enumerate(components): if len(components) == 1: component["nearest_neighbor_distance"] = None continue cx, cy = component["centroid"] best = math.inf for j, other in enumerate(components): if i == j: continue ox, oy = other["centroid"] best = min(best, math.hypot(cx - ox, cy - oy)) component["nearest_neighbor_distance"] = best return components, stats def covariance_matrix(features: list[list[float]]) -> list[list[float]]: if not features: return [] rows = len(features) cols = len(features[0]) means = [sum(row[col] for row in features) / rows for col in range(cols)] stds = [] for col in range(cols): variance = sum((row[col] - means[col]) ** 2 for row in features) / rows stds.append(math.sqrt(variance) or 1.0) z = [[(row[col] - means[col]) / stds[col] for col in range(cols)] for row in features] denom = max(1, rows - 1) return [ [sum(row[i] * row[j] for row in z) / denom for j in range(cols)] for i in range(cols) ] def matvec(matrix: list[list[float]], vector: list[float]) -> list[float]: return [sum(row[i] * vector[i] for i in range(len(vector))) for row in matrix] def norm(vector: list[float]) -> float: return math.sqrt(sum(value * value for value in vector)) def eigenprobe(components: list[dict[str, Any]], width: int, height: int) -> dict[str, Any]: if len(components) < 2: return { "method": "zscore_covariance_power_iteration", "component_count": len(components), "dominant_share": 0.0, "dominant_eigenvalue": 0.0, "trace": 0.0, "residual_l2": None, "converged": False, "dominant_vector": [], "dominant_vector_hash": sha256_text("[]"), "iterations": 0, } features = [] for component in components: nn = component["nearest_neighbor_distance"] features.append( [ math.log1p(component["area"]), math.log1p(component["total_density"]), component["mean_density"], component["centroid"][0] / max(1, width - 1), component["centroid"][1] / max(1, height - 1), 0.0 if nn is None else nn / math.hypot(width, height), component["local_contrast"], ] ) matrix = covariance_matrix(features) n = len(matrix) vector = [1.0 / math.sqrt(n)] * n residual = math.inf eigval = 0.0 iterations = 0 for iterations in range(1, 101): av = matvec(matrix, vector) av_norm = norm(av) if av_norm == 0.0: break vector = [value / av_norm for value in av] av = matvec(matrix, vector) eigval = sum(vector[i] * av[i] for i in range(n)) residual = norm([av[i] - eigval * vector[i] for i in range(n)]) if residual < 1e-10: break trace = sum(matrix[i][i] for i in range(n)) dominant_share = eigval / trace if trace > 0 else 0.0 rounded_vector = [round(value, 12) for value in vector] return { "method": "zscore_covariance_power_iteration", "component_count": len(components), "feature_order": [ "log_area", "log_total_density", "mean_density", "centroid_x_norm", "centroid_y_norm", "nearest_neighbor_norm", "local_contrast", ], "dominant_share": dominant_share, "dominant_eigenvalue": eigval, "trace": trace, "residual_l2": residual, "converged": residual < 1e-8, "dominant_vector": rounded_vector, "dominant_vector_hash": sha256_text(stable_json(rounded_vector)), "iterations": iterations, } def summarize_projection( name: str, counts: list[int], width: int, height: int, occupied_windows: list[set[int]] | None = None, data: bytes | None = None, window_size: int | None = None, ) -> dict[str, Any]: components, threshold = connected_components(counts, width, height, occupied_windows, data, window_size) probe = eigenprobe(components, width, height) component_rows = [ { "component_id": component["component_id"], "area": component["area"], "total_density": component["total_density"], "mean_density": round(component["mean_density"], 6), "centroid": [round(component["centroid"][0], 6), round(component["centroid"][1], 6)], "nearest_neighbor_distance": None if component["nearest_neighbor_distance"] is None else round(component["nearest_neighbor_distance"], 6), "local_contrast": round(component["local_contrast"], 6), "sample_cells": component["sample_cells"], "source_window_hints": component["source_window_hints"], } for component in components ] components_with_backlinks = sum(1 for row in component_rows if row["source_window_hints"]) return { "name": name, "threshold": {key: round(value, 9) for key, value in threshold.items()}, "cell_count": len(counts), "nonzero_cells": sum(1 for value in counts if value > 0), "component_count": len(components), "components_with_pist_backlinks": components_with_backlinks, "density_table_hash": sha256_text(stable_json(counts)), "component_table_hash": sha256_text(stable_json(component_rows)), "suggested_neighborhoods": component_rows[:40], "eigenprobe": {key: (round(value, 12) if isinstance(value, float) else value) for key, value in probe.items()}, } def shuffled_counts(counts: list[int], seed: int) -> list[int]: values = list(counts) random.Random(seed).shuffle(values) return values def phase_shift_counts(counts: list[int], width: int, height: int, dx: int, dy: int) -> list[int]: shifted = [0] * len(counts) for y in range(height): for x in range(width): source = y * width + x tx = (x + dx) % width ty = (y + dy) % height shifted[ty * width + tx] = counts[source] return shifted def uniform_counts(counts: list[int]) -> list[int]: if not counts: return [] mean = round(sum(counts) / len(counts)) return [mean] * len(counts) def decide(main_summary: dict[str, Any], controls: dict[str, Any]) -> dict[str, Any]: component_count = main_summary["component_count"] residual = main_summary["eigenprobe"]["residual_l2"] if component_count == 0: decision = "OBSERVE_NO_GROUPING" reason = "no density-suggestion neighborhoods crossed the declared threshold" elif main_summary["components_with_pist_backlinks"] != component_count: decision = "QUARANTINE_MISSING_PROVENANCE" reason = "one or more density components lacked PIST/source-window backlinks" elif residual is None or residual > 1e-6: decision = "HOLD_PROJECTION_NOISE" reason = "dominant eigenvector did not converge tightly enough to describe the suggestion surface" elif component_count >= 8: decision = "OBSERVE_DENSITY_SUGGESTIONS" reason = "density neighborhoods exist with PIST/source-window backlinks; use them only as byte-replay suggestions" else: decision = "HOLD_PROJECTION_NOISE" reason = "too few density neighborhoods for even a suggestion surface" return { "decision": decision, "reason": reason, "claim_boundary": CLAIM_BOUNDARY, "forbidden_claims": [ "CLASSIFIER_SUCCESS", "COMPRESSION_GAIN", "HUTTER_PROGRESS", "JXL_SUPERIORITY", "BYTE_SEMANTICS_PROVEN_BY_PIXELS", "SORTING_SUCCESS", "COMPONENT_RANKING_AUTHORITY", ], "suggestion_policy": { "density_is_authoritative": False, "ordering_policy": "scan_order_not_ranked", "promotion_requires": "byte_window_replay_receipt", }, } def build_receipt(args: argparse.Namespace) -> dict[str, Any]: input_path = choose_input(args.input) total_size = input_path.stat().st_size data = read_slice(input_path, args.max_bytes) slice_sha = sha256_bytes(data) fixture_id = f"enwik8_first_{len(data)}_bytes" OUT_DIR.mkdir(parents=True, exist_ok=True) pgm_path = OUT_DIR / f"{fixture_id}_pist_density.pgm" jxl_path = OUT_DIR / f"{fixture_id}_pist_density.jxl" receipt_path = OUT_DIR / "hutter_jxl_starfield_enwik8_first_sweep_receipt.json" counts, map_stats, occupied_windows = project_density(data, args.width, args.height, args.window_size) pgm_sha = write_pgm(pgm_path, counts, args.width, args.height) jxl = maybe_encode_jxl(pgm_path, jxl_path) map_payload = { "map_id": "pist_byte_window_nibble_shell_map_v0", "formula": PIST_FORMULA, "width": args.width, "height": args.height, "window_size": args.window_size, "slice_sha256": slice_sha, "map_is_declared_before_projection": True, "unmapped_pixel_policy": "ignore_or_quarantine", } map_hash = sha256_text(stable_json(map_payload)) main = summarize_projection( "observed_pist_projection", counts, args.width, args.height, occupied_windows=occupied_windows, data=data, window_size=args.window_size, ) controls = { "shuffled_pixel_cells": summarize_projection( "shuffled_pixel_cells", shuffled_counts(counts, seed=0xA11A), args.width, args.height, ), "randomized_pist_cell_assignment": summarize_projection( "randomized_pist_cell_assignment", shuffled_counts(counts, seed=0xBEEF), args.width, args.height, ), "uniform_density_synthetic": summarize_projection( "uniform_density_synthetic", uniform_counts(counts), args.width, args.height, ), "phase_shifted_projection": summarize_projection( "phase_shifted_projection", phase_shift_counts(counts, args.width, args.height, dx=13, dy=21), args.width, args.height, ), } receipt = { "protocol": PROTOCOL, "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), "fixture": { "fixture_id": fixture_id, "dataset_alias": "wikien8_normalized_to_enwik8", "source_path": str(input_path), "source_sha256": sha256_path(input_path) if args.full_source_hash else "HOLD_FULL_HASH_NOT_REQUESTED", "source_byte_length": total_size, "slice_byte_length": len(data), "slice_sha256": slice_sha, }, "projection": { "projection_kind": "jpeg_xl_sidecar_from_declared_pist_density_projection", "projection_tool": "stdlib_pgm_density_projection_plus_optional_cjxl", "pgm_path": str(pgm_path), "pgm_sha256": pgm_sha, "width": args.width, "height": args.height, "jxl": jxl, }, "pist_map": { **map_payload, "map_hash": map_hash, "cell_count": args.width * args.height, "map_stats": map_stats, }, "density": { key: main[key] for key in [ "cell_count", "nonzero_cells", "component_count", "components_with_pist_backlinks", "density_table_hash", "component_table_hash", "threshold", ] }, "eigenprobe": main["eigenprobe"], "suggestion_surface": { "mode": "density_as_suggestion_only", "suggested_neighborhood_count": main["component_count"], "ordering_policy": "scan_order_not_ranked", "promotion_policy": "byte_window_replay_required_before_routing_or_compression_use", "neighborhood_table_hash": main["component_table_hash"], }, "suggested_neighborhoods": main["suggested_neighborhoods"], "controls": controls, "gate": decide(main, controls), "receipt_path": str(receipt_path), } receipt_path.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8") return receipt def main() -> None: parser = argparse.ArgumentParser(description=__doc__) parser.add_argument("--input", help="Path to enwik8/wikien8 fixture") parser.add_argument("--max-bytes", type=int, default=1_048_576) parser.add_argument("--width", type=int, default=128) parser.add_argument("--height", type=int, default=128) parser.add_argument("--window-size", type=int, default=256) parser.add_argument("--full-source-hash", action="store_true") args = parser.parse_args() receipt = build_receipt(args) print( json.dumps( { "receipt": receipt["receipt_path"], "decision": receipt["gate"]["decision"], "component_count": receipt["density"]["component_count"], "dominant_share": receipt["eigenprobe"]["dominant_share"], "residual_l2": receipt["eigenprobe"]["residual_l2"], "jxl_status": receipt["projection"]["jxl"]["jxl_status"], }, indent=2, sort_keys=True, ) ) if __name__ == "__main__": main()