Pith Number

pith:YEEAA5JH

pith:2016:YEEAA5JHAG7AL6K3PBE5SQBDVW

not attested not anchored not stored refs pending

The Widom-Rowlinson model, the hard-core model and the extremality of the complete graph

Emma Cohen, P\'eter Csikv\'ari, Prasad Tetali, Will Perkins

arxiv:1606.03718 v2 · 2016-06-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEEAA5JHAG7AL6K3PBE5SQBDVW}

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	2026-05-18T00:51:34.067565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c10800752701be05f95b7849d94023ad818566c77d14b2977e02c6c416c27e47

Aliases

arxiv: 1606.03718 · arxiv_version: 1606.03718v2 · doi: 10.48550/arxiv.1606.03718 · pith_short_12: YEEAA5JHAG7A · pith_short_16: YEEAA5JHAG7AL6K3 · pith_short_8: YEEAA5JH

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/YEEAA5JHAG7AL6K3PBE5SQBDVW \
  | 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: c10800752701be05f95b7849d94023ad818566c77d14b2977e02c6c416c27e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601127fe3130736389c04b2de8b06928cdd9ab8f12ae36a71817eef8516c93ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-12T14:34:12Z",
    "title_canon_sha256": "3a7433c65e1f6badea69969faa5de4fb541b67163e5c63eaededbe692dc3a963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03718",
    "kind": "arxiv",
    "version": 2
  }
}