Pith Number

pith:M4FNUZFW

pith:1999:M4FNUZFWQZYR7NNZV3XT5FDCCH

not attested not anchored not stored refs pending

Boundary critical behaviour of two-dimensional random Potts models

Bertrand Berche (Henri Poincare University, Budapest), Christophe Chatelain, Ferenc Igl\'oi (Research Institute for Solid State Physics, G\'abor Pal\'agyi (University of Veszpr\'em), Nancy), Optics

arxiv:cond-mat/9906067 v1 · 1999-06-04 · 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{M4FNUZFWQZYR7NNZV3XT5FDCCH}

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	2026-05-18T01:39:28.774843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670ada64b686711fb5b9aeef3e946211da1533d2da8cd0c922d29aa3ddda97ad

Aliases

arxiv: cond-mat/9906067 · arxiv_version: cond-mat/9906067v1 · doi: 10.48550/arxiv.cond-mat/9906067 · pith_short_12: M4FNUZFWQZYR · pith_short_16: M4FNUZFWQZYR7NNZ · pith_short_8: M4FNUZFW

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/M4FNUZFWQZYR7NNZV3XT5FDCCH \
  | 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: 670ada64b686711fb5b9aeef3e946211da1533d2da8cd0c922d29aa3ddda97ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b01d4a2f752107eca7902f5d55c5d82713d77d3cb10058358a938b135ec351",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-06-04T16:45:36Z",
    "title_canon_sha256": "3e192f8292cfdea5ceb9fa5888708e1cb9a872d14ad7f4fd3a6dca1b7ae0f5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9906067",
    "kind": "arxiv",
    "version": 1
  }
}