Pith Number

pith:WRX6X4K3

pith:2011:WRX6X4K3TZVCGTG5KCYH6VVRGW

not attested not anchored not stored refs pending

How Hidden are Hidden Processes? A Primer on Crypticity and Entropy Convergence

Christopher J. Ellison, James P. Crutchfield, John R. Mahoney, Ryan G. James

arxiv:1108.1510 v1 · 2011-08-06 · physics.data-an · cond-mat.stat-mech · cs.IT · math.DS · math.IT · math.ST · nlin.CD · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRX6X4K3TZVCGTG5KCYH6VVRGW}

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.

Receipt and verification

First computed	2026-05-18T02:01:00.731614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46febf15b9e6a234cdd50b07f56b135a2ea4bcf913d6117acdc5e8cb68d6c90

Aliases

arxiv: 1108.1510 · arxiv_version: 1108.1510v1 · doi: 10.48550/arxiv.1108.1510 · pith_short_12: WRX6X4K3TZVC · pith_short_16: WRX6X4K3TZVCGTG5 · pith_short_8: WRX6X4K3

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/WRX6X4K3TZVCGTG5KCYH6VVRGW \
  | 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: b46febf15b9e6a234cdd50b07f56b135a2ea4bcf913d6117acdc5e8cb68d6c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a7f66bca94c88bd09f0baadeeb5748707d8b2c4ae54067b57498893bd4972d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.DS",
      "math.IT",
      "math.ST",
      "nlin.CD",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2011-08-06T20:41:03Z",
    "title_canon_sha256": "3e3b7d336065996a08ab1172fcf961bd0c5d6a3860390c84e95e78c548080c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1510",
    "kind": "arxiv",
    "version": 1
  }
}