Pith Number

pith:YOJCRXHU

pith:2024:YOJCRXHUXQ2NLRX2ZZRWOAY5VG

not attested not anchored not stored refs pending

Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup

Pierre Nolin, Wei Qian, Yifan Gao

arxiv:2409.16230 v1 · 2024-09-24 · 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{YOJCRXHUXQ2NLRX2ZZRWOAY5VG}

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.

Cited by

1 paper in Pith

A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents

Receipt and verification

First computed	2026-07-05T09:11:06.950826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39228dcf4bc34d5c6face6367031da9ae6aa8780b2518f72e83b100f37b7a0b

Aliases

arxiv: 2409.16230 · arxiv_version: 2409.16230v1 · doi: 10.48550/arxiv.2409.16230 · pith_short_12: YOJCRXHUXQ2N · pith_short_16: YOJCRXHUXQ2NLRX2 · pith_short_8: YOJCRXHU

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/YOJCRXHUXQ2NLRX2ZZRWOAY5VG \
  | 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: c39228dcf4bc34d5c6face6367031da9ae6aa8780b2518f72e83b100f37b7a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9291936b7e5be1df9fe65aefdd9f66ab1c9eb44bd91164827db4f0c0fb157b1e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-24T16:49:24Z",
    "title_canon_sha256": "8eb54b02d0eab51bea47b22318605da1eebefedf69e42f26155067a30e9f424d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16230",
    "kind": "arxiv",
    "version": 1
  }
}