Pith Number

pith:OVPQNRX3

pith:2018:OVPQNRX3KFVOOL4TOIRGW5SRYE

not attested not anchored not stored refs pending

Emergent Planarity in two-dimensional Ising Models with finite-range Interactions

Hugo Duminil-Copin, Michael Aizenman, Simone Warzel, Vincent Tassion

arxiv:1801.04960 v2 · 2018-01-15 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVPQNRX3KFVOOL4TOIRGW5SRYE}

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	2026-07-05T03:50:45.313096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755f06c6fb516ae72f9372226b7651c12eeb0d5deedc93445cf723cccb0bae22

Aliases

arxiv: 1801.04960 · arxiv_version: 1801.04960v2 · doi: 10.48550/arxiv.1801.04960 · pith_short_12: OVPQNRX3KFVO · pith_short_16: OVPQNRX3KFVOOL4T · pith_short_8: OVPQNRX3

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/OVPQNRX3KFVOOL4TOIRGW5SRYE \
  | 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: 755f06c6fb516ae72f9372226b7651c12eeb0d5deedc93445cf723cccb0bae22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6edf82685fd05aeee13c4da87f02414f5267d59b219812e4bc83068273fe8f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-15T19:35:10Z",
    "title_canon_sha256": "a45f3e7022d7b36e7c69090ba70246321a876af2ffc31775f1d026cf6fc658d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04960",
    "kind": "arxiv",
    "version": 2
  }
}