Pith Number

pith:TL3VLJ5O

pith:2025:TL3VLJ5O27XF3U56GIJGF3GR2I

not attested not anchored not stored refs pending

Metastability for the Curie-Weiss-Potts model with unbounded random interactions

Elena Pulvirenti, Johan L. A. Dubbeldam, Martin Slowik, Vicente Lenz Burnier

arxiv:2505.11260 v2 · 2025-05-16 · 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{TL3VLJ5O27XF3U56GIJGF3GR2I}

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	2026-06-19T16:12:03.520349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af755a7aed7ee5dd3be321262ecd1d23ccd444339ccb489f3ee37af77a0eb3b

Aliases

arxiv: 2505.11260 · arxiv_version: 2505.11260v2 · doi: 10.48550/arxiv.2505.11260 · pith_short_12: TL3VLJ5O27XF · pith_short_16: TL3VLJ5O27XF3U56 · pith_short_8: TL3VLJ5O

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/TL3VLJ5O27XF3U56GIJGF3GR2I \
  | 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: 9af755a7aed7ee5dd3be321262ecd1d23ccd444339ccb489f3ee37af77a0eb3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee507c1fe6f1313f693ac9330b44a1ac4d6ba752df62e4f68deda4c29df227b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-16T13:51:18Z",
    "title_canon_sha256": "899c54d77a701f6c0247ade207ce4f9c31c3a939511e7c93d536718a385fd9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11260",
    "kind": "arxiv",
    "version": 2
  }
}