Pith Number

pith:GU6O7U43

pith:2012:GU6O7U43E7RTG7YCNB23NK64JF

not attested not anchored not stored refs pending

O(N)-Universality Classes and the Mermin-Wagner Theorem

A. Codello, G. D'Odorico

arxiv:1210.4037 v2 · 2012-10-15 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GU6O7U43E7RTG7YCNB23NK64JF}

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	2026-05-18T02:22:30.254528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353cefd39b27e3337f026875b6abdc4976fd1e3d54a4443346626535ce5483d5

Aliases

arxiv: 1210.4037 · arxiv_version: 1210.4037v2 · doi: 10.48550/arxiv.1210.4037 · pith_short_12: GU6O7U43E7RT · pith_short_16: GU6O7U43E7RTG7YC · pith_short_8: GU6O7U43

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/GU6O7U43E7RTG7YCNB23NK64JF \
  | 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: 353cefd39b27e3337f026875b6abdc4976fd1e3d54a4443346626535ce5483d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9f16d3890f0416f0429ba1efa49d23efdc293365566f589f1dbc9b19d2a606",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-15T13:56:48Z",
    "title_canon_sha256": "cce7dd4d61c9203362279d615bcbc85d15916cf46be54d9e39d1aae3327bbb3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4037",
    "kind": "arxiv",
    "version": 2
  }
}