Pith Number

pith:ZOD5MJH2

pith:2005:ZOD5MJH2SZKL373QMOYZVANEKO

not attested not anchored not stored refs pending

Thermodynamic origin of order parameters in mean-field models of spin glasses

L. Zdeborova, V. Janis

arxiv:cond-mat/0504132 v1 · 2005-04-06 · 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{ZOD5MJH2SZKL373QMOYZVANEKO}

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	2026-05-18T01:39:53.341127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb87d624fa9654bdff7063b19a81a4539ba2aa6bd8a2d42c75dbe3ef7752b329

Aliases

arxiv: cond-mat/0504132 · arxiv_version: cond-mat/0504132v1 · doi: 10.48550/arxiv.cond-mat/0504132 · pith_short_12: ZOD5MJH2SZKL · pith_short_16: ZOD5MJH2SZKL373Q · pith_short_8: ZOD5MJH2

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/ZOD5MJH2SZKL373QMOYZVANEKO \
  | 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: cb87d624fa9654bdff7063b19a81a4539ba2aa6bd8a2d42c75dbe3ef7752b329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bba38476273c6574f5a0f9ea51f53f49549e5aee4fcd98fb54dbc42afbf7606",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2005-04-06T10:04:32Z",
    "title_canon_sha256": "9676dee71f3a44bfa3b6cbea61a56d01ce0cb1b7fa2340253a67303b0484bbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0504132",
    "kind": "arxiv",
    "version": 1
  }
}