Pith Number

pith:SHITIQIA

pith:2025:SHITIQIAXAL2HOD7QJE3TMALAP

not attested not anchored not stored refs pending

The diffusivity of supercritical Bernoulli percolation is infinitely differentiable

Chenlin Gu, Wenhao Zhao

arxiv:2506.07158 v1 · 2025-06-08 · math.PR · math-ph · math.AP · 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{SHITIQIAXAL2HOD7QJE3TMALAP}

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	2026-07-05T11:18:02.719164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d1344100b817a3b87f8249b9b00b03cd15eb0df9aa262bbde792a316988828

Aliases

arxiv: 2506.07158 · arxiv_version: 2506.07158v1 · doi: 10.48550/arxiv.2506.07158 · pith_short_12: SHITIQIAXAL2 · pith_short_16: SHITIQIAXAL2HOD7 · pith_short_8: SHITIQIA

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/SHITIQIAXAL2HOD7QJE3TMALAP \
  | 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: 91d1344100b817a3b87f8249b9b00b03cd15eb0df9aa262bbde792a316988828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917929246ea1da6d77581014722fab3bf51a1eb2ff07ce17f55d720be5781440",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-08T14:07:49Z",
    "title_canon_sha256": "2804ee07e6cc62defdf4b9eba4c6d3a8566a134435e5f1010f31601da0c6a2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07158",
    "kind": "arxiv",
    "version": 1
  }
}