Pith Number

pith:ZBCKOCWA

pith:2013:ZBCKOCWA6TB4TMHP7OAC5UJD64

not attested not anchored not stored refs pending

Tail asymptotic of the stationary distribution for the state dependent (1,R)-reflecting random walk: near critical

Ke Zhou, Wenming Hong

arxiv:1302.3069 v3 · 2013-02-13 · 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{ZBCKOCWA6TB4TMHP7OAC5UJD64}

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	2026-05-18T03:32:31.052228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c844a70ac0f4c3c9b0effb802ed123f71156538ed67d69dcad11d56fa70c0b6c

Aliases

arxiv: 1302.3069 · arxiv_version: 1302.3069v3 · doi: 10.48550/arxiv.1302.3069 · pith_short_12: ZBCKOCWA6TB4 · pith_short_16: ZBCKOCWA6TB4TMHP · pith_short_8: ZBCKOCWA

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/ZBCKOCWA6TB4TMHP7OAC5UJD64 \
  | 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: c844a70ac0f4c3c9b0effb802ed123f71156538ed67d69dcad11d56fa70c0b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5210c31052018d5ecc8a3b38e8f691109eeed12c41efbde535c24b060a3c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-13T12:50:29Z",
    "title_canon_sha256": "c07442e5856dd2d5fc19beca79a94a386590731ca7ed4d1c4cc474683e09f5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3069",
    "kind": "arxiv",
    "version": 3
  }
}