Pith Number

pith:QN3NXF4J

pith:2006:QN3NXF4JHCFHJITXYMLGNX3PIJ

not attested not anchored not stored refs pending

Height variables in the Abelian sandpile model: scaling fields and correlations

Geoffroy Piroux, Monwhea Jeng, Philippe Ruelle

arxiv:cond-mat/0609284 v2 · 2006-09-12 · cond-mat.stat-mech · hep-th · math-ph · 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{QN3NXF4JHCFHJITXYMLGNX3PIJ}

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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.

Cited by

1 paper in Pith

Logarithmic correlation functions for critical dense polymers on the cylinder

Receipt and verification

First computed	2026-05-18T04:28:38.018499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8376db9789388a74a277c31666df6f4279e9648bdd44dfdf9d8653418510f920

Aliases

arxiv: cond-mat/0609284 · arxiv_version: cond-mat/0609284v2 · doi: 10.48550/arxiv.cond-mat/0609284 · pith_short_12: QN3NXF4JHCFH · pith_short_16: QN3NXF4JHCFHJITX · pith_short_8: QN3NXF4J

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/QN3NXF4JHCFHJITXYMLGNX3PIJ \
  | 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: 8376db9789388a74a277c31666df6f4279e9648bdd44dfdf9d8653418510f920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d012ef85fa093c477c994cace4def129b75f6e407ce2bfcd91db8563c678db",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-09-12T14:11:07Z",
    "title_canon_sha256": "eb4bf4229cc6139388205e9f43b61da78063e5baebc7f29b71eea7a5c79074b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609284",
    "kind": "arxiv",
    "version": 2
  }
}