Pith Number

pith:I5RS2DLS

pith:2008:I5RS2DLSAQRAGTPYVWPNDF6KC2

not attested not anchored not stored refs pending

Factorization of percolation density correlation functions for clusters touching the sides of a rectangle

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

arxiv:0811.3080 v1 · 2008-11-19 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5RS2DLSAQRAGTPYVWPNDF6KC2}

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	2026-05-18T04:30:14.793152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47632d0d720422034df8ad9ed197ca16bfe2c57698ef26ba87a217a6e7ea10b9

Aliases

arxiv: 0811.3080 · arxiv_version: 0811.3080v1 · doi: 10.48550/arxiv.0811.3080 · pith_short_12: I5RS2DLSAQRA · pith_short_16: I5RS2DLSAQRAGTPY · pith_short_8: I5RS2DLS

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/I5RS2DLSAQRAGTPYVWPNDF6KC2 \
  | 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: 47632d0d720422034df8ad9ed197ca16bfe2c57698ef26ba87a217a6e7ea10b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99fc989b0180b526a5c3732068d495872f1015fdca09dd534131fc2f4361001a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-11-19T20:51:23Z",
    "title_canon_sha256": "6794d664b3f6ec94c711bac381a9e5ee6584410f6ce5b6256ca87fc1425c6198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3080",
    "kind": "arxiv",
    "version": 1
  }
}