Pith Number

pith:ZRSDNDES

pith:2012:ZRSDNDESXOOBUFKPFA7MORO7MS

not attested not anchored not stored refs pending

Exit times for integrated random walks

Denis Denisov, Vitali Wachtel

arxiv:1207.2270 v1 · 2012-07-10 · 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{ZRSDNDESXOOBUFKPFA7MORO7MS}

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	2026-05-18T03:51:24.531121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc64368c92bb9c1a154f283ec745df6498287541be07314cece223c951f2bc0a

Aliases

arxiv: 1207.2270 · arxiv_version: 1207.2270v1 · doi: 10.48550/arxiv.1207.2270 · pith_short_12: ZRSDNDESXOOB · pith_short_16: ZRSDNDESXOOBUFKP · pith_short_8: ZRSDNDES

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/ZRSDNDESXOOBUFKPFA7MORO7MS \
  | 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: cc64368c92bb9c1a154f283ec745df6498287541be07314cece223c951f2bc0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc31ae5d459ab088cd1fe0b2c131c4a74b01b23571eb62a0b17c32bb4af9683f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-10T09:10:28Z",
    "title_canon_sha256": "ccde9d70b6ddf33f893f1a9713bc5162ee210044b53babbb9b2a827cbef7c3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2270",
    "kind": "arxiv",
    "version": 1
  }
}