Pith Number

pith:GR4J5HSL

pith:2012:GR4J5HSLGDIY2JVQIQGDIRSGCY

not attested not anchored not stored refs pending

Tail asymptotics of the stationary distribution of a two dimensional reflecting random walk with unbounded upward jumps

Masahiro Kobayashi, Masakiyo Miyazawa

arxiv:1212.0603 v3 · 2012-12-04 · 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{GR4J5HSLGDIY2JVQIQGDIRSGCY}

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	2026-05-18T02:49:18.501182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34789e9e4b30d18d26b0440c344646163a3cae7b2f0a694e9aa3ff916d288f57

Aliases

arxiv: 1212.0603 · arxiv_version: 1212.0603v3 · doi: 10.48550/arxiv.1212.0603 · pith_short_12: GR4J5HSLGDIY · pith_short_16: GR4J5HSLGDIY2JVQ · pith_short_8: GR4J5HSL

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/GR4J5HSLGDIY2JVQIQGDIRSGCY \
  | 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: 34789e9e4b30d18d26b0440c344646163a3cae7b2f0a694e9aa3ff916d288f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa9b565ea1f4c9a5f0be025f478154fff424faac3e2c5062f20a512c09ca922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-04T02:08:51Z",
    "title_canon_sha256": "b0a944f52707590e77be167dc1f7b8d5d583860ef5be1b0f13187322b12820a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0603",
    "kind": "arxiv",
    "version": 3
  }
}