Pith Number

pith:DQL33XAE

pith:2013:DQL33XAEFGP4IDUV67OGSANXA7

not attested not anchored not stored refs pending

Kadanoff Sand Piles, following the snowball

Eric R\'emila, K\'evin Perrot

arxiv:1301.0997 v1 · 2013-01-06 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQL33XAEFGP4IDUV67OGSANXA7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:37:07.061505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c17bddc04299fc40e95f7dc6901b707eef92c47b4db128773288ab2c4658554

Aliases

arxiv: 1301.0997 · arxiv_version: 1301.0997v1 · doi: 10.48550/arxiv.1301.0997 · pith_short_12: DQL33XAEFGP4 · pith_short_16: DQL33XAEFGP4IDUV · pith_short_8: DQL33XAE

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/DQL33XAEFGP4IDUV67OGSANXA7 \
  | 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: 1c17bddc04299fc40e95f7dc6901b707eef92c47b4db128773288ab2c4658554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f28922f96e811c638fd2c4752b7ed74753b15f2b1c38ab3e637530b8e26404",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-06T11:57:32Z",
    "title_canon_sha256": "8c1096c60dfa3e32f15be77b32ef46c417973d36bc7cfe20a10dc716b62d510e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0997",
    "kind": "arxiv",
    "version": 1
  }
}