Pith Number

pith:JLZCTQMU

pith:2025:JLZCTQMUSVAPAJVLASN5TDJGYS

not attested not anchored not stored refs pending

A phase transition for the two-dimensional random field Ising/FK-Ising model

Aoteng Xia, Chenxu Hao, Fenglin Huang

arxiv:2503.16268 v2 · 2025-03-20 · 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{JLZCTQMUSVAPAJVLASN5TDJGYS}

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	2026-07-05T11:28:35.170801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af229c1949540f026ab049bd98d26c4bffb068cf9c53482214ef37fe53ff722

Aliases

arxiv: 2503.16268 · arxiv_version: 2503.16268v2 · doi: 10.48550/arxiv.2503.16268 · pith_short_12: JLZCTQMUSVAP · pith_short_16: JLZCTQMUSVAPAJVL · pith_short_8: JLZCTQMU

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/JLZCTQMUSVAPAJVLASN5TDJGYS \
  | 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: 4af229c1949540f026ab049bd98d26c4bffb068cf9c53482214ef37fe53ff722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dc6b416d1647df0f74b86d34de7b397b3d27319edf42d598e94f5b3725ac45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-20T15:59:49Z",
    "title_canon_sha256": "94cf132a8312014c1bc89aa0c8170e3bd871f51973e176e15c8640e240baca35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16268",
    "kind": "arxiv",
    "version": 2
  }
}