Pith Number

pith:GHGBKNXD

pith:2014:GHGBKNXDP4MNYH2DQ2S5WHKZTP

not attested not anchored not stored refs pending

Derrida's random energy models. From spin glasses to the extremes of correlated random fields

Nicola Kistler

arxiv:1412.0958 v1 · 2014-12-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHGBKNXDP4MNYH2DQ2S5WHKZTP}

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	2026-05-18T02:32:15.268564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cc1536e37f18dc1f4386a5db1d599bc065c42175e03a1d8a83f7a2fffc7140

Aliases

arxiv: 1412.0958 · arxiv_version: 1412.0958v1 · doi: 10.48550/arxiv.1412.0958 · pith_short_12: GHGBKNXDP4MN · pith_short_16: GHGBKNXDP4MNYH2D · pith_short_8: GHGBKNXD

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/GHGBKNXDP4MNYH2DQ2S5WHKZTP \
  | 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: 31cc1536e37f18dc1f4386a5db1d599bc065c42175e03a1d8a83f7a2fffc7140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4707031c0e919baf44e26f8a3ec8f8ab90fda1cfdd3bb8e5f0ddf5f3f611f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-02T16:13:25Z",
    "title_canon_sha256": "d7187217fff050e6a9b1fc30a769543d106c9772761b556c3b387415abfc43de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0958",
    "kind": "arxiv",
    "version": 1
  }
}