Pith Number

pith:5LQITKY3

pith:2012:5LQITKY3V5JOIA2GYLDTJYVCPE

not attested not anchored not stored refs pending

Explicit stationary distribution of the $(L,1)$-reflecting random walk on the half line

Ke Zhou, Wenming Hong, Yiqiang Q. Zhao

arxiv:1211.7181 v1 · 2012-11-30 · 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{5LQITKY3V5JOIA2GYLDTJYVCPE}

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	2026-05-18T03:39:31.420683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae089ab1baf52e40346c2c734e2a2793dcdd16b01a920c19a923fb79b9e75ee

Aliases

arxiv: 1211.7181 · arxiv_version: 1211.7181v1 · doi: 10.48550/arxiv.1211.7181 · pith_short_12: 5LQITKY3V5JO · pith_short_16: 5LQITKY3V5JOIA2G · pith_short_8: 5LQITKY3

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/5LQITKY3V5JOIA2GYLDTJYVCPE \
  | 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: eae089ab1baf52e40346c2c734e2a2793dcdd16b01a920c19a923fb79b9e75ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceaf3f1dc5f855d252c7602fe83bd1e21d26c2c4c661f89be3d5a1ad26e153d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-30T08:24:24Z",
    "title_canon_sha256": "2b3b472904a0d142649e4b666897126c3e6a19157c0688356e51e4e69d4ab149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7181",
    "kind": "arxiv",
    "version": 1
  }
}