Pith Number

pith:YREAME4V

pith:1997:YREAME4V6IHTBBIZK7QTGEJ2ZX

not attested not anchored not stored refs pending

On the Stability of the Quenched State in Mean Field Spin Glass Models

M. Aizenman (Princeton University), P. Contucci (Princeton University)

arxiv:cond-mat/9712129 v3 · 1997-12-11 · cond-mat.stat-mech · 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{YREAME4V6IHTBBIZK7QTGEJ2ZX}

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	2026-05-18T01:39:32.752179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c448061395f20f30851957e133113acddafd6f7b912a75186bd13ee1ee0c001d

Aliases

arxiv: cond-mat/9712129 · arxiv_version: cond-mat/9712129v3 · doi: 10.48550/arxiv.cond-mat/9712129 · pith_short_12: YREAME4V6IHT · pith_short_16: YREAME4V6IHTBBIZ · pith_short_8: YREAME4V

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/YREAME4V6IHTBBIZK7QTGEJ2ZX \
  | 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: c448061395f20f30851957e133113acddafd6f7b912a75186bd13ee1ee0c001d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473ea288089e11c6e9786e1ed833ee36a6b001810a30b9ae08e964d3871f25f4",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-12-11T20:47:36Z",
    "title_canon_sha256": "d03a0d71de11f15a377d704d83a7236558283dd6ee8901760beef26b5c3d9a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9712129",
    "kind": "arxiv",
    "version": 3
  }
}