Pith Number

pith:HJ6PSFJC

pith:2021:HJ6PSFJCDATDMDMQU4LB6XZTLP

not attested not anchored not stored refs pending

Universality of spin correlations in the Ising model on isoradial graphs

Dmitry Chelkak, Konstantin Izyurov, R\'emy Mahfouf

arxiv:2104.12858 v1 · 2021-04-26 · 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{HJ6PSFJCDATDMDMQU4LB6XZTLP}

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	2026-07-05T02:35:03.509645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7cf915221826360d90a7161f5f335bda8805b812e231147c86f7a199803032

Aliases

arxiv: 2104.12858 · arxiv_version: 2104.12858v1 · doi: 10.48550/arxiv.2104.12858 · pith_short_12: HJ6PSFJCDATD · pith_short_16: HJ6PSFJCDATDMDMQ · pith_short_8: HJ6PSFJC

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/HJ6PSFJCDATDMDMQU4LB6XZTLP \
  | 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: 3a7cf915221826360d90a7161f5f335bda8805b812e231147c86f7a199803032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0e66ebcdca3accfbf9e7fe0a34151d45069fb1ce86d3baa0259f1d24018731",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-26T20:25:04Z",
    "title_canon_sha256": "5a83a5ba3bce851a12540edc9111a874f62fbb140196488033e64aae1569b118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12858",
    "kind": "arxiv",
    "version": 1
  }
}