Pith Number

pith:4JXVFMCF

pith:2018:4JXVFMCFWHABLUC32VTFMQ2OQK

not attested not anchored not stored refs pending

Finitary codings for the random-cluster model and other infinite-range monotone models

Matan Harel, Yinon Spinka

arxiv:1808.02333 v3 · 2018-08-07 · 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{4JXVFMCFWHABLUC32VTFMQ2OQK}

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.

Cited by

1 paper in Pith

Finitary codings for gradient models and a new graphical representation for the six-vertex model

Receipt and verification

First computed	2026-07-05T04:12:32.890305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26f52b045b1c015d05bd56656434e829db62c14be15fc6065f50d661a1b9988

Aliases

arxiv: 1808.02333 · arxiv_version: 1808.02333v3 · doi: 10.48550/arxiv.1808.02333 · pith_short_12: 4JXVFMCFWHAB · pith_short_16: 4JXVFMCFWHABLUC3 · pith_short_8: 4JXVFMCF

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/4JXVFMCFWHABLUC32VTFMQ2OQK \
  | 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: e26f52b045b1c015d05bd56656434e829db62c14be15fc6065f50d661a1b9988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c3093b70cb109f46f87031ac0fe900f79b1dc18378a322506df94874c40812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-07T13:02:29Z",
    "title_canon_sha256": "30f78826c7c7e1938229f0a460effd79a459e43ff1eb264f1a35dc61e14612ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02333",
    "kind": "arxiv",
    "version": 3
  }
}