Pith Number

pith:2V5EIVGW

pith:1998:2V5EIVGWHQA7LSPQYTYROYMWFS

not attested not anchored not stored refs pending

Percolation Perturbations in Potential Theory and Random Walks

Itai Benjamini, Oded Schramm, Russell Lyons

arxiv:math/9804010 v1 · 1998-04-02 · 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{2V5EIVGWHQA7LSPQYTYROYMWFS}

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	2026-07-04T14:40:29.897029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57a4454d63c01f5c9f0c4f11761962c93663b02f4a7a0f52b69d8c233657c67

Aliases

arxiv: math/9804010 · arxiv_version: math/9804010v1 · doi: 10.48550/arxiv.math/9804010 · pith_short_12: 2V5EIVGWHQA7 · pith_short_16: 2V5EIVGWHQA7LSPQ · pith_short_8: 2V5EIVGW

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/2V5EIVGWHQA7LSPQYTYROYMWFS \
  | 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: d57a4454d63c01f5c9f0c4f11761962c93663b02f4a7a0f52b69d8c233657c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478d2cb2c47127153d9f7a12b9093b13229f5fd8e4a8632c529b34b622f3a2ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-04-02T10:59:37Z",
    "title_canon_sha256": "6ecbd2c9d180b66870b66a501b3216bc34477e5fd280f3dfe95a1a439a9b0df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9804010",
    "kind": "arxiv",
    "version": 1
  }
}