Pith Number

pith:XFCEUF3H

pith:2012:XFCEUF3HFPKP3WNWKWDHAUXFQS

not attested not anchored not stored refs pending

Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition

Barbora Bene\v{s}ov\'a, Martin Kru\v{z}\'ik, Tom\'a\v{s} Roub\'i\v{c}ek

arxiv:1203.3666 v2 · 2012-03-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFCEUF3HFPKP3WNWKWDHAUXFQS}

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	2026-05-18T03:34:35.670175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9444a17672bd4fdd9b655867052e584aa4491489b3894db550413c270071727

Aliases

arxiv: 1203.3666 · arxiv_version: 1203.3666v2 · doi: 10.48550/arxiv.1203.3666 · pith_short_12: XFCEUF3HFPKP · pith_short_16: XFCEUF3HFPKP3WNW · pith_short_8: XFCEUF3H

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/XFCEUF3HFPKP3WNWKWDHAUXFQS \
  | 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: b9444a17672bd4fdd9b655867052e584aa4491489b3894db550413c270071727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1513efa8b34b1a6bbab815d9524039b15036a5489ae3e24064393141e97ee75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-16T11:04:19Z",
    "title_canon_sha256": "7b80f4b94f467fb62c611e15f6e8845a5344e07f086f3a1fb16133d6005bf8b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3666",
    "kind": "arxiv",
    "version": 2
  }
}