Pith Number

pith:EUFY45MH

pith:2019:EUFY45MHHZIS4KLO7WZRF5QDTW

not attested not anchored not stored refs pending

Gibbs-non Gibbs transitions in different geometries: The Widom-Rowlinson model under stochastic spin-flip dynamics

Christof Kuelske

arxiv:1901.10347 v2 · 2019-01-29 · 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{EUFY45MHHZIS4KLO7WZRF5QDTW}

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	2026-05-17T23:54:06.777731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

250b8e75873e512e296efdb312f6039db4ff45d2fa83614003291a2116e31c9d

Aliases

arxiv: 1901.10347 · arxiv_version: 1901.10347v2 · doi: 10.48550/arxiv.1901.10347 · pith_short_12: EUFY45MHHZIS · pith_short_16: EUFY45MHHZIS4KLO · pith_short_8: EUFY45MH

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/EUFY45MHHZIS4KLO7WZRF5QDTW \
  | 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: 250b8e75873e512e296efdb312f6039db4ff45d2fa83614003291a2116e31c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2619c47b3350274fed7f74e1a300e17184f035977feba75c50703a4133663641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-29T15:50:29Z",
    "title_canon_sha256": "8a58b3313da4424e8f215345dfcc8b3e8debad2c6dec17cf0049bd23d82fb113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10347",
    "kind": "arxiv",
    "version": 2
  }
}