Pith Number

pith:ZXH4PEQW

pith:2002:ZXH4PEQWLORRRN723GQ75RE2R3

not attested not anchored not stored refs pending

Fractal geometry of critical Potts clusters

A. Aharony, B. B. Mandelbrot, E. M. Rauch, J. Asikainen, J.-P. Hovi

arxiv:cond-mat/0212216 v2 · 2002-12-10 · 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{ZXH4PEQWLORRRN723GQ75RE2R3}

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	2026-05-18T04:38:38.493822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d

Aliases

arxiv: cond-mat/0212216 · arxiv_version: cond-mat/0212216v2 · doi: 10.48550/arxiv.cond-mat/0212216 · pith_short_12: ZXH4PEQWLORR · pith_short_16: ZXH4PEQWLORRRN72 · pith_short_8: ZXH4PEQW

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/ZXH4PEQWLORRRN723GQ75RE2R3 \
  | 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: cdcfc792165ba318b7fad9a1fec49a8ef97ca74b414d1780f643589bf0fd4d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc901c132013fbdf192ba8235df2455f7cbf3216dfc62cdc0ea81b5e526d3c2a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2002-12-10T13:12:40Z",
    "title_canon_sha256": "ae77fa9f0a48050bf88be291e3f2f6dd895621f44143dc6d833dffc81565c4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0212216",
    "kind": "arxiv",
    "version": 2
  }
}