Pith Number

pith:WLFGYN6Z

pith:2010:WLFGYN6ZJ2QUMRME5CENLOY4CG

not attested not anchored not stored refs pending

Replica symmetry breaking, complexity and spin representation in the generalized random energy model

Kazutaka Takahashi, Koujin Takeda, Tomoyuki Obuchi

arxiv:1007.1531 v2 · 2010-07-09 · 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{WLFGYN6ZJ2QUMRME5CENLOY4CG}

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	2026-05-18T04:35:56.820353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ca6c37d94ea1464584e888d5bb1c11b45cd923e7c92f6d272dec66cc16132a

Aliases

arxiv: 1007.1531 · arxiv_version: 1007.1531v2 · doi: 10.48550/arxiv.1007.1531 · pith_short_12: WLFGYN6ZJ2QU · pith_short_16: WLFGYN6ZJ2QUMRME · pith_short_8: WLFGYN6Z

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/WLFGYN6ZJ2QUMRME5CENLOY4CG \
  | 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: b2ca6c37d94ea1464584e888d5bb1c11b45cd923e7c92f6d272dec66cc16132a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d359dd6bc07de43ef4d30c9ad55f3b4a0f86c402662da988d37c20c8bc8db88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-07-09T08:47:15Z",
    "title_canon_sha256": "ef1ff3bc3524543a9feabb856cbccb071b1b96ad0db1adb930d694c661e01921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1531",
    "kind": "arxiv",
    "version": 2
  }
}