Pith Number

pith:S3W4RWT4

pith:2001:S3W4RWT4ZPCRDA2RE23JRJTUAA

not attested not anchored not stored refs pending

The Abelian Sandpile Model on an Infinite Tree

Christian Maes, Ellen Saada, Frank Redig

arxiv:math-ph/0101005 v1 · 2001-01-05 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3W4RWT4ZPCRDA2RE23JRJTUAA}

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	2026-05-18T02:03:44.107566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96edc8da7ccbc511835126b698a674002e076b79c1d15f05c9394c11340ec0ac

Aliases

arxiv: math-ph/0101005 · arxiv_version: math-ph/0101005v1 · doi: 10.48550/arxiv.math-ph/0101005 · pith_short_12: S3W4RWT4ZPCR · pith_short_16: S3W4RWT4ZPCRDA2R · pith_short_8: S3W4RWT4

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/S3W4RWT4ZPCRDA2RE23JRJTUAA \
  | 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: 96edc8da7ccbc511835126b698a674002e076b79c1d15f05c9394c11340ec0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d421c6f6daa2b5c75d24312adf245b0ee499c909e965b957b101b9c8a56f840e",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-05T13:56:17Z",
    "title_canon_sha256": "4bf25ec96c80bb2c01aae07d19859f35e2f1547cf6bb922ff6a5daa7a17fccfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101005",
    "kind": "arxiv",
    "version": 1
  }
}