Pith Number

pith:ZKM6UJZD

pith:2011:ZKM6UJZDKPUC3CHW2ZKDQ36SOO

not attested not anchored not stored refs pending

A Solvable Mean Field Model of a Gaussian Spin Glass

Adriano Barra, Daniele Tantari, Francesco Guerra, Giuseppe Genovese

arxiv:1109.4069 v2 · 2011-09-19 · math-ph · cond-mat.dis-nn · 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{ZKM6UJZDKPUC3CHW2ZKDQ36SOO}

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	2026-05-18T03:55:24.767935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca99ea272353e82d88f6d654386fd2738c88d1220aadee38a6af96ebeb1f7953

Aliases

arxiv: 1109.4069 · arxiv_version: 1109.4069v2 · doi: 10.48550/arxiv.1109.4069 · pith_short_12: ZKM6UJZDKPUC · pith_short_16: ZKM6UJZDKPUC3CHW · pith_short_8: ZKM6UJZD

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/ZKM6UJZDKPUC3CHW2ZKDQ36SOO \
  | 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: ca99ea272353e82d88f6d654386fd2738c88d1220aadee38a6af96ebeb1f7953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa0cae38cfa0a8a1c097288881e6dd5e653accda414f8d0b1f246980cb5d48f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-19T15:55:23Z",
    "title_canon_sha256": "982b4851c65292ed4446133b677d37547a6cabbd68766c3464f5be1450946ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4069",
    "kind": "arxiv",
    "version": 2
  }
}