Pith Number

pith:3V7SYW4G

pith:2023:3V7SYW4G2357KRLWH4ESWW6RSL

not attested not anchored not stored refs pending

Grokking as Compression: A Nonlinear Complexity Perspective

Max Tegmark, Ziming Liu, Ziqian Zhong

arxiv:2310.05918 v1 · 2023-10-09 · cs.LG · cs.AI · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3V7SYW4G2357KRLWH4ESWW6RSL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Phase Transitions in Driven Informational Systems: A Two-Field Perspective on Learning Theory and Non-Equilibrium Chemistry

Truth as a Compression Artifact in Language Model Training

Receipt and verification

First computed	2026-07-05T06:58:51.293485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7f2c5b86d6fbf545763f092b5bd192d2f586b272e74911db65d28c0ca6bdcd

Aliases

arxiv: 2310.05918 · arxiv_version: 2310.05918v1 · doi: 10.48550/arxiv.2310.05918 · pith_short_12: 3V7SYW4G2357 · pith_short_16: 3V7SYW4G2357KRLW · pith_short_8: 3V7SYW4G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3V7SYW4G2357KRLWH4ESWW6RSL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: dd7f2c5b86d6fbf545763f092b5bd192d2f586b272e74911db65d28c0ca6bdcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0ed278cd2832dc9e9c9b20f08ef9932ef651768471b62d49933fa3e480b0ad",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-09T17:59:18Z",
    "title_canon_sha256": "2203e59062cc1535f4d3267ecfcc0a9297235d26ec39b79980bd19b9c6fd78fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.05918",
    "kind": "arxiv",
    "version": 1
  }
}