Pith Number

pith:2TPUTC7V

pith:2019:2TPUTC7VU6WOE2LB5B3AT6FDHQ

not attested not anchored not stored refs pending

Hard-Core and Soft-Core Widom-Rowlinson models on Cayley trees

Christof Kuelske, Sascha Kissel, Utkir A. Rozikov

arxiv:1901.09258 v1 · 2019-01-26 · 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{2TPUTC7VU6WOE2LB5B3AT6FDHQ}

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	2026-05-17T23:45:30.590838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4df498bf5a7ace26961e87609f8a33c13f8479d8c7ff95ce99500f62ee71efb

Aliases

arxiv: 1901.09258 · arxiv_version: 1901.09258v1 · doi: 10.48550/arxiv.1901.09258 · pith_short_12: 2TPUTC7VU6WO · pith_short_16: 2TPUTC7VU6WOE2LB · pith_short_8: 2TPUTC7V

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/2TPUTC7VU6WOE2LB5B3AT6FDHQ \
  | 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: d4df498bf5a7ace26961e87609f8a33c13f8479d8c7ff95ce99500f62ee71efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6aa2527912266e40609f42317f03f40d63564f0a4734faa68f8f00afc65678c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-26T18:19:33Z",
    "title_canon_sha256": "0c322e3622cf5648bfdc06737cf5ca2c9c0b0b4ca25db682a966365be3764433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09258",
    "kind": "arxiv",
    "version": 1
  }
}