Pith Number

pith:Z5LVISNU

pith:2002:Z5LVISNUCEEWVQXDIIBCBFHOVS

not attested not anchored not stored refs pending

Transience of percolation clusters on wedges

Itai Benjamini, Noam Berger, Omer Angel, Yuval Peres

arxiv:math/0206130 v1 · 2002-06-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5LVISNUCEEWVQXDIIBCBFHOVS}

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	2026-07-04T14:36:15.997374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf575449b411096ac2e342022094eeaca2a38bf7acaaac29d380497c1b74a780

Aliases

arxiv: math/0206130 · arxiv_version: math/0206130v1 · doi: 10.48550/arxiv.math/0206130 · pith_short_12: Z5LVISNUCEEW · pith_short_16: Z5LVISNUCEEWVQXD · pith_short_8: Z5LVISNU

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/Z5LVISNUCEEWVQXDIIBCBFHOVS \
  | 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: cf575449b411096ac2e342022094eeaca2a38bf7acaaac29d380497c1b74a780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b9496c5aeafbb3cea55db3fe49181f1e6f7daa437e4429d1ef8bc2f2638618",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-06-12T17:59:31Z",
    "title_canon_sha256": "79e8f54f7fac4ef63807689036dfc861c9f743fe53d59c95f04b4f6bd41efb65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206130",
    "kind": "arxiv",
    "version": 1
  }
}