Pith Number

pith:2RATZKAY

pith:2012:2RATZKAYFSRE2E7NY7NMI2JUZJ

not attested not anchored not stored refs pending

Fluctuations and thermodynamic variables in mean field spin glass models

Francesco Guerra

arxiv:1212.2905 v1 · 2012-12-12 · 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{2RATZKAYFSRE2E7NY7NMI2JUZJ}

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	2026-05-18T03:38:35.002580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4413ca8182ca24d13edc7dac46934ca75dc693a06b8ee0ac253d12cb2e68038

Aliases

arxiv: 1212.2905 · arxiv_version: 1212.2905v1 · doi: 10.48550/arxiv.1212.2905 · pith_short_12: 2RATZKAYFSRE · pith_short_16: 2RATZKAYFSRE2E7N · pith_short_8: 2RATZKAY

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/2RATZKAYFSRE2E7NY7NMI2JUZJ \
  | 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: d4413ca8182ca24d13edc7dac46934ca75dc693a06b8ee0ac253d12cb2e68038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7d819b2a71eb790a700c9f6a2d5f7ae78b859f8a7453aac8c0c9476a727595",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-12-12T18:01:39Z",
    "title_canon_sha256": "ca4394efe644d8a052e84cb2517dbfab685b18bbe3513dca7dba31a4d214dd04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2905",
    "kind": "arxiv",
    "version": 1
  }
}