Pith Number

pith:R3Q4ELTB

pith:2012:R3Q4ELTBFJTUZ36EQB4RRVQY24

not attested not anchored not stored refs pending

Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives

Emanuele Mingione, Pierluigi Contucci, Shannon Starr

arxiv:1212.5281 v2 · 2012-12-20 · cond-mat.dis-nn · 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{R3Q4ELTBFJTUZ36EQB4RRVQY24}

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	2026-05-18T01:32:01.508525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee1c22e612a674cefc4807918d618d72508f2b2c78246b837e87bf777aab10b

Aliases

arxiv: 1212.5281 · arxiv_version: 1212.5281v2 · doi: 10.48550/arxiv.1212.5281 · pith_short_12: R3Q4ELTBFJTU · pith_short_16: R3Q4ELTBFJTUZ36E · pith_short_8: R3Q4ELTB

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/R3Q4ELTBFJTUZ36EQB4RRVQY24 \
  | 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: 8ee1c22e612a674cefc4807918d618d72508f2b2c78246b837e87bf777aab10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5dbe52c2f01f553e0edbe511d8f9462b8a752f4b06686e23ec6f5f883c4721",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-12-20T22:05:41Z",
    "title_canon_sha256": "ed05869ccbbda3020d2890f3f02f26439cd1f79610c6b080d275227d5889e3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5281",
    "kind": "arxiv",
    "version": 2
  }
}