Pith Number

pith:VXPUY5OI

pith:2012:VXPUY5OIUV3ANX6N6UVMRPQQ3J

not attested not anchored not stored refs pending

Moderate deviations for random field Curie-Weiss models

Matthias L\"owe, Raphael Meiners

arxiv:1206.0895 v1 · 2012-06-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXPUY5OIUV3ANX6N6UVMRPQQ3J}

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	2026-05-18T03:27:43.306028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addf4c75c8a57606dfcdf52ac8be10da59f20ebd42dd0f66bc70675ae491bebb

Aliases

arxiv: 1206.0895 · arxiv_version: 1206.0895v1 · doi: 10.48550/arxiv.1206.0895 · pith_short_12: VXPUY5OIUV3A · pith_short_16: VXPUY5OIUV3ANX6N · pith_short_8: VXPUY5OI

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/VXPUY5OIUV3ANX6N6UVMRPQQ3J \
  | 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: addf4c75c8a57606dfcdf52ac8be10da59f20ebd42dd0f66bc70675ae491bebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c00e68ead20816511387a359c8f45c4ae4b8d986c0acc07e5ff53537e298c2c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-05T12:13:06Z",
    "title_canon_sha256": "03099fee7129d9f5c41570824afeb6a7c968ddf5775dc729f5364f1cd670180e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0895",
    "kind": "arxiv",
    "version": 1
  }
}