Pith Number

pith:5RJGLAES

pith:2016:5RJGLAESVXKGTUFEP5Q3JSQ2ZA

not attested not anchored not stored refs pending

Scaling limit of the odometer in divisible sandpiles

Alessandra Cipriani, Rajat Subhra Hazra, Wioletta M. Ruszel

arxiv:1604.03754 v4 · 2016-04-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RJGLAESVXKGTUFEP5Q3JSQ2ZA}

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	2026-05-18T00:29:33.689425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec52658092add469d0a47f61b4ca1ac83423870ee724e4ab964a3de56fe668da

Aliases

arxiv: 1604.03754 · arxiv_version: 1604.03754v4 · doi: 10.48550/arxiv.1604.03754 · pith_short_12: 5RJGLAESVXKG · pith_short_16: 5RJGLAESVXKGTUFE · pith_short_8: 5RJGLAES

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/5RJGLAESVXKGTUFEP5Q3JSQ2ZA \
  | 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: ec52658092add469d0a47f61b4ca1ac83423870ee724e4ab964a3de56fe668da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b8562f0997c9af3522bf1674d5fc44cecfd13c061729d658f8cbd180873e81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-13T13:14:33Z",
    "title_canon_sha256": "f252b303833a19ab10db0485433f933a99d359c0e769503993559a3443e5d6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03754",
    "kind": "arxiv",
    "version": 4
  }
}