Pith Number

pith:SGKI4QIC

pith:2016:SGKI4QICUAM3PTV2P5N74GITBL

not attested not anchored not stored refs pending

The Abelian Sandpile Model on Fractal Graphs

Ilse Haim, Rafael G. Setra, Robert S. Strichartz, Samantha Fairchild, Travis Westura

arxiv:1602.03424 v2 · 2016-02-10 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGKI4QICUAM3PTV2P5N74GITBL}

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	2026-05-17T23:56:10.746432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91948e4102a019b7ceba7f5bfe19130affbb2c2cfdd4f5880375b261c20102d1

Aliases

arxiv: 1602.03424 · arxiv_version: 1602.03424v2 · doi: 10.48550/arxiv.1602.03424 · pith_short_12: SGKI4QICUAM3 · pith_short_16: SGKI4QICUAM3PTV2 · pith_short_8: SGKI4QIC

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/SGKI4QICUAM3PTV2P5N74GITBL \
  | 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: 91948e4102a019b7ceba7f5bfe19130affbb2c2cfdd4f5880375b261c20102d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10dbc3b0e394e776febf6f5421261285edb5d41fd87d9a5ae30e8399f3cc5cb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-10T15:59:16Z",
    "title_canon_sha256": "26bc2d3032b213bdb4125f9299abbc9bf02b068cb76785c3c17ee5137ad2663f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03424",
    "kind": "arxiv",
    "version": 2
  }
}