Pith Number

pith:VTR6HB5F

pith:2016:VTR6HB5FDMMVDBWEWYNG3YAO4F

not attested not anchored not stored refs pending

The divisible sandpile with heavy-tailed variables

Alessandra Cipriani, Rajat Subhra Hazra, Wioletta M. Ruszel

arxiv:1610.09863 v1 · 2016-10-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTR6HB5FDMMVDBWEWYNG3YAO4F}

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	2026-05-18T01:00:47.034173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace3e387a51b195186c4b61a6de00ee14f73217d30e4e3edb9bc6403e560ff04

Aliases

arxiv: 1610.09863 · arxiv_version: 1610.09863v1 · doi: 10.48550/arxiv.1610.09863 · pith_short_12: VTR6HB5FDMMV · pith_short_16: VTR6HB5FDMMVDBWE · pith_short_8: VTR6HB5F

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/VTR6HB5FDMMVDBWEWYNG3YAO4F \
  | 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: ace3e387a51b195186c4b61a6de00ee14f73217d30e4e3edb9bc6403e560ff04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ae110104d2875bd16a271a9cb71d1c0c8974c6cc9ae5585c5b5240d1119512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-31T11:00:21Z",
    "title_canon_sha256": "0f2fdd061cfb39c0f3bac189b540cb1a7b8835dc17c67e04d604dd8dd4304f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09863",
    "kind": "arxiv",
    "version": 1
  }
}