Pith Number

pith:WU4VUE3J

pith:2010:WU4VUE3JFMOJO4HLJ3E6CHSLQV

not attested not anchored not stored refs pending

Relative entropy via non-sequential recursive pair substitutions

D. Benedetto, E. Caglioti, G. Cristadoro, M. Degli Esposti

arxiv:1007.3384 v2 · 2010-07-20 · cs.IT · cond-mat.stat-mech · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU4VUE3JFMOJO4HLJ3E6CHSLQV}

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	2026-05-18T02:06:12.495285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5395a13692b1c9770eb4ec9e11e4b85422b4aa0120bde2fa3100fd30fb027f0

Aliases

arxiv: 1007.3384 · arxiv_version: 1007.3384v2 · doi: 10.48550/arxiv.1007.3384 · pith_short_12: WU4VUE3JFMOJ · pith_short_16: WU4VUE3JFMOJO4HL · pith_short_8: WU4VUE3J

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/WU4VUE3JFMOJO4HLJ3E6CHSLQV \
  | 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: b5395a13692b1c9770eb4ec9e11e4b85422b4aa0120bde2fa3100fd30fb027f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb9b51d191c02c7d61c149179876f4031c7aec3fb501342f180fc189d7b61d6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-07-20T09:55:41Z",
    "title_canon_sha256": "90903ba642505e9d3ddea53dda1c164eb6c9fe552e1b44f312dbb44e140e4359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3384",
    "kind": "arxiv",
    "version": 2
  }
}