Pith Number

pith:CGANKN4X

pith:2012:CGANKN4XM7EBGCEODXADT5J5SU

not attested not anchored not stored refs pending

Cluster pinch-point densities in polygons

Peter Kleban, Robert M. Ziff, Steven M. Flores

arxiv:1201.6405 v2 · 2012-01-30 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGANKN4XM7EBGCEODXADT5J5SU}

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	2026-05-18T01:58:37.798444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1180d5379767c813088e1dc039f53d95010052f57b8e495edf35becd9c4c678c

Aliases

arxiv: 1201.6405 · arxiv_version: 1201.6405v2 · doi: 10.48550/arxiv.1201.6405 · pith_short_12: CGANKN4XM7EB · pith_short_16: CGANKN4XM7EBGCEO · pith_short_8: CGANKN4X

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/CGANKN4XM7EBGCEODXADT5J5SU \
  | 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: 1180d5379767c813088e1dc039f53d95010052f57b8e495edf35becd9c4c678c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce64f3ca8a0abdafec4e528a794a69db992824e8ed8339906febfae6874bf645",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-30T23:36:51Z",
    "title_canon_sha256": "0f150568820985aa354122acbc24790ecd0f8dc08be18f086d69461614c4ba6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6405",
    "kind": "arxiv",
    "version": 2
  }
}