Pith Number

pith:DTANB3PA

pith:2012:DTANB3PAE72X44GC2F435YPO6Z

not attested not anchored not stored refs pending

Exact integration of height probabilities in the Abelian Sandpile Model

Andrea Sportiello, Sergio Caracciolo

arxiv:1207.6074 v2 · 2012-07-25 · cond-mat.stat-mech · hep-lat · 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{DTANB3PAE72X44GC2F435YPO6Z}

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	2026-05-18T03:44:13.458440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc0d0ede027f57e70c2d179bee1eef642e0e61a1c30a10ba36300b4ed616a35

Aliases

arxiv: 1207.6074 · arxiv_version: 1207.6074v2 · doi: 10.48550/arxiv.1207.6074 · pith_short_12: DTANB3PAE72X · pith_short_16: DTANB3PAE72X44GC · pith_short_8: DTANB3PA

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/DTANB3PAE72X44GC2F435YPO6Z \
  | 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: 1cc0d0ede027f57e70c2d179bee1eef642e0e61a1c30a10ba36300b4ed616a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4aaa5d1cb3c9a4cdefbc0f63a98187d4064992a58de66aa9af7797668f43323",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-25T18:11:31Z",
    "title_canon_sha256": "c5d80a6d33396389392b0d0028f1208825085ccf98567d685a1c664de45a6318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6074",
    "kind": "arxiv",
    "version": 2
  }
}