Pith Number

pith:HB4CNJVF

pith:2014:HB4CNJVFRFWLVLHAP2T7FTWX3K

not attested not anchored not stored refs pending

Quenched central limit theorems for the Ising model on random graphs

Claudio Giberti, Cristian Giardina', Maria Luisa Prioriello, Remco van der Hofstad

arxiv:1412.5081 v1 · 2014-12-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HB4CNJVFRFWLVLHAP2T7FTWX3K}

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	2026-05-18T01:34:25.083823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387826a6a5896cbaace07ea7f2ced7daa2f6c45a8d01c43e4bbb775f8c4bf688

Aliases

arxiv: 1412.5081 · arxiv_version: 1412.5081v1 · doi: 10.48550/arxiv.1412.5081 · pith_short_12: HB4CNJVFRFWL · pith_short_16: HB4CNJVFRFWLVLHA · pith_short_8: HB4CNJVF

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/HB4CNJVFRFWLVLHAP2T7FTWX3K \
  | 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: 387826a6a5896cbaace07ea7f2ced7daa2f6c45a8d01c43e4bbb775f8c4bf688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1a3e78b7865ece8ca8d4e98dfbe265844fa47fc13e5221fe0ebaf81dd5db68",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-16T16:59:49Z",
    "title_canon_sha256": "9b2b8e1bc15c3e8d6b3110d606d69a73b1f89c9db0da265cb6bac84823b00cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5081",
    "kind": "arxiv",
    "version": 1
  }
}