Pith Number

pith:AR7YLKBJ

pith:2005:AR7YLKBJMBPV6TUT3QKWWQOLUF

not attested not anchored not stored refs pending

The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk

Sergey Foss, Stan Zachary, Zbigniew Palmowski

arxiv:math/0508461 v1 · 2005-08-24 · 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{AR7YLKBJMBPV6TUT3QKWWQOLUF}

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	2026-05-18T00:29:21.987063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047f85a829605f5f4e93dc156b41cba1672eac435a488b1405a9bbc6eb9adb24

Aliases

arxiv: math/0508461 · arxiv_version: math/0508461v1 · doi: 10.48550/arxiv.math/0508461 · pith_short_12: AR7YLKBJMBPV · pith_short_16: AR7YLKBJMBPV6TUT · pith_short_8: AR7YLKBJ

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/AR7YLKBJMBPV6TUT3QKWWQOLUF \
  | 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: 047f85a829605f5f4e93dc156b41cba1672eac435a488b1405a9bbc6eb9adb24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9513093737d61c4278dbd5f4fd643b7421532040dbf27a3953f65bef603531",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-08-24T13:34:15Z",
    "title_canon_sha256": "8dcd64f63097a7de66cad5f1a69511d946870f542b312009276091493a9775c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508461",
    "kind": "arxiv",
    "version": 1
  }
}