Pith Number

pith:T2F2Q3LJ

pith:2014:T2F2Q3LJPKQKR7QJSCAPGJZXCG

not attested not anchored not stored refs pending

Universality of local times of killed and reflected random walks

Denis Denisov, Vitali Wachtel

arxiv:1412.6184 v1 · 2014-12-18 · 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{T2F2Q3LJPKQKR7QJSCAPGJZXCG}

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	2026-05-18T02:30:54.163245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8ba86d697aa0a8fe099080f3273711a10a2e152ec6c43b0c6313a7a935c348

Aliases

arxiv: 1412.6184 · arxiv_version: 1412.6184v1 · doi: 10.48550/arxiv.1412.6184 · pith_short_12: T2F2Q3LJPKQK · pith_short_16: T2F2Q3LJPKQKR7QJ · pith_short_8: T2F2Q3LJ

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/T2F2Q3LJPKQKR7QJSCAPGJZXCG \
  | 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: 9e8ba86d697aa0a8fe099080f3273711a10a2e152ec6c43b0c6313a7a935c348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58fe61d528f381ca8e56f3f5f2cca97b40d39b6f1ebc6c428b02bc1de4e56ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-18T23:57:26Z",
    "title_canon_sha256": "b76ee6cc28a1081fc7a1558611a66d38886b968ff53b2062dfec33a849cf11f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6184",
    "kind": "arxiv",
    "version": 1
  }
}