Pith Number

pith:5EKBMXS3

pith:2013:5EKBMXS3F4TY4PXRPM4NS27UZA

not attested not anchored not stored refs pending

Directed nonabelian sandpile models on trees

Anne Schilling, Arvind Ayyer, Benjamin Steinberg, Nicolas M. Thiery

arxiv:1305.1697 v3 · 2013-05-08 · math.PR · cond-mat.stat-mech · math-ph · math.CO · math.GR · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EKBMXS3F4TY4PXRPM4NS27UZA}

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	2026-05-18T02:23:35.532877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e914165e5b2f278e3ef17b38d96bf4c80b8aecea53bb7adb411e61e3d11f7e94

Aliases

arxiv: 1305.1697 · arxiv_version: 1305.1697v3 · doi: 10.48550/arxiv.1305.1697 · pith_short_12: 5EKBMXS3F4TY · pith_short_16: 5EKBMXS3F4TY4PXR · pith_short_8: 5EKBMXS3

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/5EKBMXS3F4TY4PXRPM4NS27UZA \
  | 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: e914165e5b2f278e3ef17b38d96bf4c80b8aecea53bb7adb411e61e3d11f7e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d094e1467a7f0fbf54c701d6a82b773d552818c38873bd2ae0992dedc454522e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-08T02:42:45Z",
    "title_canon_sha256": "3c24d94c3f98814152214786b73a8f8e9df8e2fdc5f1aea35fbcb62aaf70c403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1697",
    "kind": "arxiv",
    "version": 3
  }
}