Pith Number

pith:HJPCKEDL

pith:2018:HJPCKEDLKOW6SPXQ5JTPA55AIG

not attested not anchored not stored refs pending

Random-cluster correlation inequalities for Gibbs fields

Alberto Gandolfi

arxiv:1804.04247 v1 · 2018-04-11 · 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{HJPCKEDLKOW6SPXQ5JTPA55AIG}

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	2026-05-18T00:07:07.877640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5e25106b53ade93ef0ea66f077a041ad7f3ec90240ca11c5bed3a3d40217cb

Aliases

arxiv: 1804.04247 · arxiv_version: 1804.04247v1 · doi: 10.48550/arxiv.1804.04247 · pith_short_12: HJPCKEDLKOW6 · pith_short_16: HJPCKEDLKOW6SPXQ · pith_short_8: HJPCKEDL

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/HJPCKEDLKOW6SPXQ5JTPA55AIG \
  | 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: 3a5e25106b53ade93ef0ea66f077a041ad7f3ec90240ca11c5bed3a3d40217cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d685e947e832bf931f26a4b7556d04e9580d3d321e011e00b878f231c3871976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-11T22:26:00Z",
    "title_canon_sha256": "d8eae35e53f5126acf45fdeb9b8a79fb689574cc0f33bcc59aa1ad8ff8109909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04247",
    "kind": "arxiv",
    "version": 1
  }
}