Pith Number

pith:STMNVGQQ

pith:2012:STMNVGQQSXCXD2XGEH34XIYLKD

not attested not anchored not stored refs pending

A natural stochastic extension of the sandpile model on a graph

Jean-Fran\c{c}ois Marckert, Thomas Selig, Yao-ban Chan

arxiv:1209.2038 v1 · 2012-09-10 · math.CO · cs.DM · 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{STMNVGQQSXCXD2XGEH34XIYLKD}

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	2026-05-18T03:45:53.871884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94d8da9a1095c571eae621f7cba30b50f441b5ee27fe4b522daa575dd80a4717

Aliases

arxiv: 1209.2038 · arxiv_version: 1209.2038v1 · doi: 10.48550/arxiv.1209.2038 · pith_short_12: STMNVGQQSXCX · pith_short_16: STMNVGQQSXCXD2XG · pith_short_8: STMNVGQQ

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/STMNVGQQSXCXD2XGEH34XIYLKD \
  | 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: 94d8da9a1095c571eae621f7cba30b50f441b5ee27fe4b522daa575dd80a4717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d62966050bca004433c80f3058ea535fa30f7e22f5b39541e2b4fa3751343b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-10T15:38:37Z",
    "title_canon_sha256": "62bc481231cbdef1d52808d5bb5e9d129e6c63b3fd43478ff4317748b0e80257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2038",
    "kind": "arxiv",
    "version": 1
  }
}