Pith Number

pith:FPEG54MZ

pith:2001:FPEG54MZXZJ2HZCZ7Y23FAJOH3

not attested not anchored not stored refs pending

Winterbottom Construction for Finite Range Ferromagnetic Models: An L_1 Approach

D. Ioffe, T. Bodineau, Y. Velenik

arxiv:math/0101174 v1 · 2001-01-22 · math.PR · cond-mat.stat-mech · 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{FPEG54MZXZJ2HZCZ7Y23FAJOH3}

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	2026-05-18T04:14:46.450080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc86ef199be53a3e459fe35b2812e3ed376bb9341a8f5f0c80eecd0f7327484

Aliases

arxiv: math/0101174 · arxiv_version: math/0101174v1 · doi: 10.48550/arxiv.math/0101174 · pith_short_12: FPEG54MZXZJ2 · pith_short_16: FPEG54MZXZJ2HZCZ · pith_short_8: FPEG54MZ

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/FPEG54MZXZJ2HZCZ7Y23FAJOH3 \
  | 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: 2bc86ef199be53a3e459fe35b2812e3ed376bb9341a8f5f0c80eecd0f7327484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b139065e5c49b22f43f568453c92046827c5397d21d5473e16487cb9d9bb3e08",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-01-22T09:02:55Z",
    "title_canon_sha256": "0cce6de368988d65dce7d02b9528dfbb9a1ea9a41e9a6a52d08e1822108c6246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101174",
    "kind": "arxiv",
    "version": 1
  }
}