Pith Number

pith:GD4C76D7

pith:2010:GD4C76D7LNB47OTXWKYHCCOSOF

not attested not anchored not stored refs pending

First-Passage Exponents of Multiple Random Walks

E. Ben-Naim, P.L. Krapivsky

arxiv:1009.0239 v1 · 2010-09-01 · cond-mat.stat-mech · 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{GD4C76D7LNB47OTXWKYHCCOSOF}

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	2026-05-18T04:35:36.462839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f82ff87f5b43cfba77b2b07109d2714bea587da4554448d823c64d7531e9e5

Aliases

arxiv: 1009.0239 · arxiv_version: 1009.0239v1 · doi: 10.48550/arxiv.1009.0239 · pith_short_12: GD4C76D7LNB4 · pith_short_16: GD4C76D7LNB47OTX · pith_short_8: GD4C76D7

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/GD4C76D7LNB47OTXWKYHCCOSOF \
  | 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: 30f82ff87f5b43cfba77b2b07109d2714bea587da4554448d823c64d7531e9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32059bbc4f45d30203ffab9fe648ba799ff959aadec18006f96dbc88c0be98d6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-01T18:23:45Z",
    "title_canon_sha256": "12d0c72daaf7c435fcabc9962215b8d20e9bb079f903754bedb89a98bbc09bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0239",
    "kind": "arxiv",
    "version": 1
  }
}