Pith Number

pith:ECY2JAEY

pith:2026:ECY2JAEYXVPHJMIAUNUEBKLIU3

not attested not anchored not stored refs pending

Rapid mixing for Gibbs measures in Riemannian manifolds

\'Angela Capel, Angelo Lucia, David P\'erez-Garc\'ia, Marco Castrill\'on-L\'opez, Pablo P\'aez-Velasco, Sofyan Iblisdir

arxiv:2606.13453 v1 · 2026-06-11 · math-ph · math.MP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECY2JAEYXVPHJMIAUNUEBKLIU3}

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	2026-06-12T01:10:03.328882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b1a48098bd5e74b100a36840a968a6f4b0cd16eaa7d408b5235ffe4736740b

Aliases

arxiv: 2606.13453 · arxiv_version: 2606.13453v1 · doi: 10.48550/arxiv.2606.13453 · pith_short_12: ECY2JAEYXVPH · pith_short_16: ECY2JAEYXVPHJMIA · pith_short_8: ECY2JAEY

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/ECY2JAEYXVPHJMIAUNUEBKLIU3 \
  | 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: 20b1a48098bd5e74b100a36840a968a6f4b0cd16eaa7d408b5235ffe4736740b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1181fdf4c555242166fbad9af857361d8d15eb700e7564b2e397a683a40ccaaf",
    "cross_cats_sorted": [
      "math.MP",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-11T15:11:54Z",
    "title_canon_sha256": "5f431745015e98b40e1a4860b084d3783fe986be4292c2a12ca9936663c30781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13453",
    "kind": "arxiv",
    "version": 1
  }
}