Pith Number

pith:WU3Z2E32

pith:2012:WU3Z2E32LYOWVFDY6TZGMYI7MP

not attested not anchored not stored refs pending

A Revolutionary Material

Charles Radin

arxiv:1209.4839 v1 · 2012-09-21 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU3Z2E32LYOWVFDY6TZGMYI7MP}

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	2026-05-18T01:34:40.224629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5379d137a5e1d6a9478f4f266611f63f969da1c28d1fbe0ed2a28dbbc5f33eb

Aliases

arxiv: 1209.4839 · arxiv_version: 1209.4839v1 · doi: 10.48550/arxiv.1209.4839 · pith_short_12: WU3Z2E32LYOW · pith_short_16: WU3Z2E32LYOWVFDY · pith_short_8: WU3Z2E32

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/WU3Z2E32LYOWVFDY6TZGMYI7MP \
  | 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: b5379d137a5e1d6a9478f4f266611f63f969da1c28d1fbe0ed2a28dbbc5f33eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c0551b3765347a23250a95423f4d030a624b493826416fa27647785ed0d238",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-21T14:59:23Z",
    "title_canon_sha256": "7630f1beb413b3ae053579fadc9b317fdb95b7ceb2dd68fc5066fc4902d961bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4839",
    "kind": "arxiv",
    "version": 1
  }
}