Pith Number

pith:2WIRTIFB

pith:2017:2WIRTIFBM4CAC5LLPHJQWGY7CR

not attested not anchored not stored refs pending

Translation-Invariant Gibbs States of Ising model: General Setting

Aran Raoufi

arxiv:1710.07608 v1 · 2017-10-20 · math.PR · 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{2WIRTIFBM4CAC5LLPHJQWGY7CR}

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.

Cited by

1 paper in Pith

Finitary codings for gradient models and a new graphical representation for the six-vertex model

Receipt and verification

First computed	2026-05-18T00:32:24.381153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59119a0a1670401756b79d30b1b1f1464f5c90d90b5f10280950e7021f7fc8e

Aliases

arxiv: 1710.07608 · arxiv_version: 1710.07608v1 · doi: 10.48550/arxiv.1710.07608 · pith_short_12: 2WIRTIFBM4CA · pith_short_16: 2WIRTIFBM4CAC5LL · pith_short_8: 2WIRTIFB

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/2WIRTIFBM4CAC5LLPHJQWGY7CR \
  | 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: d59119a0a1670401756b79d30b1b1f1464f5c90d90b5f10280950e7021f7fc8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748a89fc1ffdc95effa43cb93263260001b304a98cc61993f5292b8cf881b9cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-20T17:04:50Z",
    "title_canon_sha256": "e778274070ed844a6408d5ece4f57f0f0a4a981551e5297c6b6f7b2a481b0a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07608",
    "kind": "arxiv",
    "version": 1
  }
}