Pith Number

pith:2FQ7WFEJ

pith:2026:2FQ7WFEJGDYX6YEJ6XNTQIO2QB

not attested not anchored not stored refs pending

On reversing the Simon-Lieb inequality in high-dimensional percolation

Bruno Schapira, Romain Panis

arxiv:2605.30299 v1 · 2026-05-28 · 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{2FQ7WFEJGDYX6YEJ6XNTQIO2QB}

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	2026-05-29T02:06:15.687377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d161fb148930f17f6089f5db3821da805b22d1508736e87a1e53c272ecbda099

Aliases

arxiv: 2605.30299 · arxiv_version: 2605.30299v1 · doi: 10.48550/arxiv.2605.30299 · pith_short_12: 2FQ7WFEJGDYX · pith_short_16: 2FQ7WFEJGDYX6YEJ · pith_short_8: 2FQ7WFEJ

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/2FQ7WFEJGDYX6YEJ6XNTQIO2QB \
  | 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: d161fb148930f17f6089f5db3821da805b22d1508736e87a1e53c272ecbda099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987f5d712b3cc1cb04b9f823ac9eb433e8d4b619ee63959daac9f2918dcc1f46",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-28T17:45:29Z",
    "title_canon_sha256": "467fc6794a9ef1be3fdd8b85cb4c50b1c72cb41e3aeed8d87c43366ff3000696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30299",
    "kind": "arxiv",
    "version": 1
  }
}