pith. sign in
Pith Number

pith:PK2JU45Z

pith:2009:PK2JU45ZB5SZYSGZ54VRVFZEV4
not attested not anchored not stored refs pending

Abelian Sandpile Model on the Honeycomb Lattice

H. Dashti-Naserabadi, N. Azimi-Tafreshi, P. Ruelle, S. Moghimi-Araghi

arxiv:0912.3331 v2 · 2009-12-17 · cond-mat.stat-mech · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PK2JU45ZB5SZYSGZ54VRVFZEV4}

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 2026-05-18T04:28:45.773922Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ab49a73b90f659c48d9ef2b1a9724af047064b5740a6b993dc8950f22486760

Aliases

arxiv: 0912.3331 · arxiv_version: 0912.3331v2 · doi: 10.48550/arxiv.0912.3331 · pith_short_12: PK2JU45ZB5SZ · pith_short_16: PK2JU45ZB5SZYSGZ · pith_short_8: PK2JU45Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PK2JU45ZB5SZYSGZ54VRVFZEV4 \
  | 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: 7ab49a73b90f659c48d9ef2b1a9724af047064b5740a6b993dc8950f22486760
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "52743cf4b27227e9621ebfce4d24014e0130e25a708826e682397e1c6142cdbb",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-17T20:35:22Z",
    "title_canon_sha256": "f30d59ab6b97ecc586bf09635be59dd6a9e6f548d29b9853ded6928b2b1311c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3331",
    "kind": "arxiv",
    "version": 2
  }
}