Pith Number

pith:AYTTXF3X

pith:2010:AYTTXF3XELCYCTVO5TBVK76774

not attested not anchored not stored refs pending

The approach to criticality in sandpiles

Anne Fey, David B. Wilson, Lionel Levine

arxiv:1001.3401 v2 · 2010-01-19 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYTTXF3XELCYCTVO5TBVK76774}

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	2026-05-18T04:40:35.135631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06273b977722c5814eaeecc3557fdfff3b8024a6cc7124b45e3fbb2f514e384a

Aliases

arxiv: 1001.3401 · arxiv_version: 1001.3401v2 · doi: 10.48550/arxiv.1001.3401 · pith_short_12: AYTTXF3XELCY · pith_short_16: AYTTXF3XELCYCTVO · pith_short_8: AYTTXF3X

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/AYTTXF3XELCYCTVO5TBVK76774 \
  | 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: 06273b977722c5814eaeecc3557fdfff3b8024a6cc7124b45e3fbb2f514e384a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02341eef3b15d1423c830ea0db06625d70a75faad8db3a35fd13f2e04fb6168",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-19T20:43:33Z",
    "title_canon_sha256": "7d29b60aeb63e238f0bcb4dc3790b8535fb498d11281bb6c513f1e6102c3347c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3401",
    "kind": "arxiv",
    "version": 2
  }
}