Pith Number

pith:5VQQGKS4

pith:2018:5VQQGKS436NQN2KFZDWETDPKNV

not attested not anchored not stored refs pending

A Phase Transition in a Widom-Rowlinson Model with Curie-Weiss Interaction

Mykhailo Kozlovskii, Yuri Kozitsky

arxiv:1801.01428 v1 · 2018-01-04 · 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{5VQQGKS436NQN2KFZDWETDPKNV}

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	2026-05-18T00:09:16.763110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed61032a5cdf9b06e945c8ec498dea6d561274646ae1d7aeeae7aeaa11eecae8

Aliases

arxiv: 1801.01428 · arxiv_version: 1801.01428v1 · doi: 10.48550/arxiv.1801.01428 · pith_short_12: 5VQQGKS436NQ · pith_short_16: 5VQQGKS436NQN2KF · pith_short_8: 5VQQGKS4

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/5VQQGKS436NQN2KFZDWETDPKNV \
  | 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: ed61032a5cdf9b06e945c8ec498dea6d561274646ae1d7aeeae7aeaa11eecae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61de358cf990c53fb2f77f69517580de210d751acf1f3ee6456f1c26777a2831",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-04T16:37:22Z",
    "title_canon_sha256": "600049f086b9a41bacbf0865c0bbaa8cf8ec603042d637a34cfa0fdf3c6a01b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01428",
    "kind": "arxiv",
    "version": 1
  }
}