Pith Number

pith:KO4G5HXS

pith:2014:KO4G5HXSJZPP44KX2HRXCVE7GC

not attested not anchored not stored refs pending

A quantitative Burton-Keane estimate under strong FKG condition

Dmitry Ioffe, Hugo Duminil-Copin, Yvan Velenik

arxiv:1409.5199 v5 · 2014-09-18 · 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{KO4G5HXSJZPP44KX2HRXCVE7GC}

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	2026-05-18T01:04:05.974219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b86e9ef24e5efe7157d1e371549f30ae65a3388aef917a238f0c0038366dad

Aliases

arxiv: 1409.5199 · arxiv_version: 1409.5199v5 · doi: 10.48550/arxiv.1409.5199 · pith_short_12: KO4G5HXSJZPP · pith_short_16: KO4G5HXSJZPP44KX · pith_short_8: KO4G5HXS

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/KO4G5HXSJZPP44KX2HRXCVE7GC \
  | 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: 53b86e9ef24e5efe7157d1e371549f30ae65a3388aef917a238f0c0038366dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c8aacfe84d8d02be44cbeb7d61e09184dbd1291cfec03de43f1dde10378bcf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-18T05:52:44Z",
    "title_canon_sha256": "f0d7a06417929bcbc4cee88dbbf2acef2daf4e7c5bd0c282b27356f8d4714654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5199",
    "kind": "arxiv",
    "version": 5
  }
}