Pith Number

pith:NZ3QBHRK

pith:2009:NZ3QBHRKXLX2QSZAR3O4F3SHRK

not attested not anchored not stored refs pending

Thermodynamic Construction of an One-Step Replica-Symmetry-Breaking Solution in Finite Connectivity Spin Glasses

Koji Hukushima, Tetsuya Nakajima

arxiv:0901.0754 v2 · 2009-01-07 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ3QBHRKXLX2QSZAR3O4F3SHRK}

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	2026-05-18T03:24:08.414177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e77009e2abaefa84b208eddc2ee478ab934b77036d8d52ef599d2e560c767de

Aliases

arxiv: 0901.0754 · arxiv_version: 0901.0754v2 · doi: 10.48550/arxiv.0901.0754 · pith_short_12: NZ3QBHRKXLX2 · pith_short_16: NZ3QBHRKXLX2QSZA · pith_short_8: NZ3QBHRK

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/NZ3QBHRKXLX2QSZAR3O4F3SHRK \
  | 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: 6e77009e2abaefa84b208eddc2ee478ab934b77036d8d52ef599d2e560c767de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3df6eef16427a91d753eff7750ccb438377b3137e0429b18359b8133fb51fe9",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-01-07T04:58:45Z",
    "title_canon_sha256": "abed0a3fed3a64a9e8232c517dfad1948a9042f21a865dde533087ca3a35cdf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0754",
    "kind": "arxiv",
    "version": 2
  }
}