Pith Number

pith:ZE3HB4SM

pith:2020:ZE3HB4SMCNWWGSF7OFVQTDTZDY

not attested not anchored not stored refs pending

The two-dimensional continuum random field Ising model

Adam Bowditch, Rongfeng Sun

arxiv:2008.12158 v2 · 2020-08-27 · 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{ZE3HB4SMCNWWGSF7OFVQTDTZDY}

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

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features

Receipt and verification

First computed	2026-07-05T02:40:28.587130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93670f24c136d6348bf716b098e791e19669401bf69d63aafa2dde606c675f8

Aliases

arxiv: 2008.12158 · arxiv_version: 2008.12158v2 · doi: 10.48550/arxiv.2008.12158 · pith_short_12: ZE3HB4SMCNWW · pith_short_16: ZE3HB4SMCNWWGSF7 · pith_short_8: ZE3HB4SM

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/ZE3HB4SMCNWWGSF7OFVQTDTZDY \
  | 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: c93670f24c136d6348bf716b098e791e19669401bf69d63aafa2dde606c675f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3443381e52e767cbcf82ab2ad178873b8054f7311763240ae04642e94c4f6537",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-27T14:35:47Z",
    "title_canon_sha256": "85fcc0f0c0c91045975dadbbacca757e80496618182279619550569e43fb30ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.12158",
    "kind": "arxiv",
    "version": 2
  }
}