Pith Number

pith:Y7JPQXFZ

pith:2012:Y7JPQXFZL5PJ7BZFHRJ7DELZNG

not attested not anchored not stored refs pending

Asymptotics of the mean-field Heisenberg model

Elizabeth Meckes, Kay Kirkpatrick

arxiv:1204.3062 v2 · 2012-04-13 · math-ph · math.MP · 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{Y7JPQXFZL5PJ7BZFHRJ7DELZNG}

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	2026-05-18T03:15:21.181287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d2f85cb95f5e9f87253c53f1917969926e5bf101380b800d2554ca0eed95db

Aliases

arxiv: 1204.3062 · arxiv_version: 1204.3062v2 · doi: 10.48550/arxiv.1204.3062 · pith_short_12: Y7JPQXFZL5PJ · pith_short_16: Y7JPQXFZL5PJ7BZF · pith_short_8: Y7JPQXFZ

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/Y7JPQXFZL5PJ7BZFHRJ7DELZNG \
  | 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: c7d2f85cb95f5e9f87253c53f1917969926e5bf101380b800d2554ca0eed95db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f43fc992209b0c5e73bb0c08e776ee61638b32e17e6c011bddac7efbed5f15",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-13T17:57:20Z",
    "title_canon_sha256": "aba7091866546f614cea5d3feee7205d0273c2c977fe2b633e0a411bf10f138a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3062",
    "kind": "arxiv",
    "version": 2
  }
}