Pith Number

pith:QQH6D3RM

pith:1997:QQH6D3RMRADOPW7AVXFXUUV2YB

not attested not anchored not stored refs pending

Paths with exponential intersection tails and oriented percolation

Itai Benjamini, Robin Pemantle, Yuval Peres

arxiv:math/9701227 v1 · 1997-01-23 · 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{QQH6D3RMRADOPW7AVXFXUUV2YB}

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	2026-05-18T01:05:37.225342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840fe1ee2c8806e7dbe0adcb7a52bac06506d98eb47ee56867b53b6c7d4cfedf

Aliases

arxiv: math/9701227 · arxiv_version: math/9701227v1 · doi: 10.48550/arxiv.math/9701227 · pith_short_12: QQH6D3RMRADO · pith_short_16: QQH6D3RMRADOPW7A · pith_short_8: QQH6D3RM

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/QQH6D3RMRADOPW7AVXFXUUV2YB \
  | 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: 840fe1ee2c8806e7dbe0adcb7a52bac06506d98eb47ee56867b53b6c7d4cfedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbe41205fa3e9274c7d6d8eb17d95af72f5a543647387dd275ceba42fa757f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1997-01-23T00:00:00Z",
    "title_canon_sha256": "465a3a99c724f14e5d81d476913059de314948593f0ed183171915f05dfa197b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701227",
    "kind": "arxiv",
    "version": 1
  }
}