Pith Number

pith:HY2JHBFO

pith:2011:HY2JHBFOOPT2YHTMBQZPJ4DVIX

not attested not anchored not stored refs pending

Critical properties of joint spin and Fortuin-Kasteleyn observables in the two-dimensional Potts model

Jesper Lykke Jacobsen, Romain Vasseur

arxiv:1111.4033 v1 · 2011-11-17 · cond-mat.stat-mech · 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{HY2JHBFOOPT2YHTMBQZPJ4DVIX}

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	2026-05-18T02:21:29.189667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e349384ae73e7ac1e6c0c32f4f07545c50070ae2ff72725cd09e94cf7d5b064

Aliases

arxiv: 1111.4033 · arxiv_version: 1111.4033v1 · doi: 10.48550/arxiv.1111.4033 · pith_short_12: HY2JHBFOOPT2 · pith_short_16: HY2JHBFOOPT2YHTM · pith_short_8: HY2JHBFO

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/HY2JHBFOOPT2YHTMBQZPJ4DVIX \
  | 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: 3e349384ae73e7ac1e6c0c32f4f07545c50070ae2ff72725cd09e94cf7d5b064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30e521c64c2b2bc105f062d8aea20717854b89327016104e775f4a3d5d8c6d80",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-17T08:34:31Z",
    "title_canon_sha256": "432f5074fb8b79f253525b1db1f2501ac6f5c052345f745f8cbf52843cf4ebfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4033",
    "kind": "arxiv",
    "version": 1
  }
}