Pith Number

pith:6HTN5GPB

pith:2010:6HTN5GPB5WZID4JATOGDFKRVQB

not attested not anchored not stored refs pending

Factorization of correlations in two-dimensional percolation on the plane and torus

Jacob J. H. Simmons, Peter Kleban, Robert M. Ziff

arxiv:1011.1101 v2 · 2010-11-04 · cond-mat.dis-nn · hep-lat · 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{6HTN5GPB5WZID4JATOGDFKRVQB}

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	2026-05-18T02:23:37.632420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e6de99e1edb281f1209b8c32aa35807b96b1839939bd5b635b9f03b4de9b48

Aliases

arxiv: 1011.1101 · arxiv_version: 1011.1101v2 · doi: 10.48550/arxiv.1011.1101 · pith_short_12: 6HTN5GPB5WZI · pith_short_16: 6HTN5GPB5WZID4JA · pith_short_8: 6HTN5GPB

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/6HTN5GPB5WZID4JATOGDFKRVQB \
  | 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: f1e6de99e1edb281f1209b8c32aa35807b96b1839939bd5b635b9f03b4de9b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31713ec58a6cf1ee9183877932866141a4e0174b2e838f3083c62eb4963fdbdc",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-11-04T10:27:36Z",
    "title_canon_sha256": "632c308ad3a8df638c7b8274953733a579cf745125d98691744515255367800d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1101",
    "kind": "arxiv",
    "version": 2
  }
}