Pith Number

pith:PYO452G4

pith:2010:PYO452G4QSR7YY7DEFEDPNDKRS

not attested not anchored not stored refs pending

Exponential moments of first passage times and related quantities for random walks

Alexander Iksanov, Matthias Meiners

arxiv:1005.5260 v1 · 2010-05-28 · 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{PYO452G4QSR7YY7DEFEDPNDKRS}

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	2026-05-18T04:06:45.162882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1dcee8dc84a3fc63e3214837b46a8ca916aad637284f89c9588da414b50488

Aliases

arxiv: 1005.5260 · arxiv_version: 1005.5260v1 · doi: 10.48550/arxiv.1005.5260 · pith_short_12: PYO452G4QSR7 · pith_short_16: PYO452G4QSR7YY7D · pith_short_8: PYO452G4

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/PYO452G4QSR7YY7DEFEDPNDKRS \
  | 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: 7e1dcee8dc84a3fc63e3214837b46a8ca916aad637284f89c9588da414b50488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60399b2ac323c1344a003b225d9f26308569581fc958cad44e8e47db2a287bce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-28T10:31:45Z",
    "title_canon_sha256": "6f857906954f5c01643866daee55167bbff12b5fe1e1996a62fbf6d86a12fcf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5260",
    "kind": "arxiv",
    "version": 1
  }
}