Pith Number

pith:JQHIV3DS

pith:2012:JQHIV3DSRGLCL2MYD5ICKAKH3C

not attested not anchored not stored refs pending

On the Gibbs states of the noncritical Potts model on Z^2

Dmitry Ioffe, Hugo Duminil-Copin, Loren Coquille, Yvan Velenik

arxiv:1205.4659 v4 · 2012-05-21 · math.PR · 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{JQHIV3DSRGLCL2MYD5ICKAKH3C}

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	2026-05-18T02:29:39.426602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0e8aec72899625e9981f50250147d89caa53d67aa35c4a1c2dcea217ef3737

Aliases

arxiv: 1205.4659 · arxiv_version: 1205.4659v4 · doi: 10.48550/arxiv.1205.4659 · pith_short_12: JQHIV3DSRGLC · pith_short_16: JQHIV3DSRGLCL2MY · pith_short_8: JQHIV3DS

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/JQHIV3DSRGLCL2MYD5ICKAKH3C \
  | 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: 4c0e8aec72899625e9981f50250147d89caa53d67aa35c4a1c2dcea217ef3737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba238d10f340d2a3724653f50ffe54353c591d5f0d9dc41d032ef8b397644e8f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-21T16:46:27Z",
    "title_canon_sha256": "37ad967efc24be9926fb72b0cab416ce182fa93a20b4cf70d8164f4c8794bebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4659",
    "kind": "arxiv",
    "version": 4
  }
}