Pith Number

pith:DDPPKMYP

pith:2003:DDPPKMYPOY2KI4VEFHXNGT2RIU

not attested not anchored not stored refs pending

Quenched Computation of the Complexity of the Sherrington-Kirkpatrick Model

A. Crisanti, G. Parisi, L. Leuzzi, T. Rizzo

arxiv:cond-mat/0309256 v3 · 2003-09-10 · cond-mat.dis-nn · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDPPKMYPOY2KI4VEFHXNGT2RIU}

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.

Cited by

1 paper in Pith

The Legendre structure of the TAP complexity for the Ising spin glass

Receipt and verification

First computed	2026-05-18T01:06:56.856809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18def5330f7634a472a429eed34f51452049763ca477a43b0b567f1283640bf9

Aliases

arxiv: cond-mat/0309256 · arxiv_version: cond-mat/0309256v3 · doi: 10.48550/arxiv.cond-mat/0309256 · pith_short_12: DDPPKMYPOY2K · pith_short_16: DDPPKMYPOY2KI4VE · pith_short_8: DDPPKMYP

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/DDPPKMYPOY2KI4VEFHXNGT2RIU \
  | 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: 18def5330f7634a472a429eed34f51452049763ca477a43b0b567f1283640bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5caea7127ee74ade85e1ff514ce90edddf714fe627ee5815655ecfb65eabbf5b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2003-09-10T16:28:46Z",
    "title_canon_sha256": "61eb733187b91ef5d229ed4b5a9e3a36d62091d69da7b8a9b354c1aa20632225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309256",
    "kind": "arxiv",
    "version": 3
  }
}