Pith Number

pith:4BQYIQAT

pith:2023:4BQYIQATN56AZIAHJPDLY3Q2WC

not attested not anchored not stored refs pending

Diffusion approximation of the stationary distribution of a two-level single server queue

Masakiyo Miyazawa

arxiv:2312.11284 v9 · 2023-12-18 · 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{4BQYIQATN56AZIAHJPDLY3Q2WC}

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.

Cited by

1 paper in Pith

Heavy-traffic limit of stationary distributions of a state-dependent queue

Receipt and verification

First computed	2026-07-05T11:10:30.429692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0618440136f7c0ca0074bc6bc6e1ab0a8650fd6cbe7df5838f6c65fdca8c8c3

Aliases

arxiv: 2312.11284 · arxiv_version: 2312.11284v9 · doi: 10.48550/arxiv.2312.11284 · pith_short_12: 4BQYIQATN56A · pith_short_16: 4BQYIQATN56AZIAH · pith_short_8: 4BQYIQAT

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/4BQYIQATN56AZIAHJPDLY3Q2WC \
  | 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: e0618440136f7c0ca0074bc6bc6e1ab0a8650fd6cbe7df5838f6c65fdca8c8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5469b8bf92bb5a5c4c0b1f34db511314cb2430c85acca48ea35835e92a2e6f60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-18T15:23:39Z",
    "title_canon_sha256": "728e965957b3e63f3e015ebff890f68fef657e1a22d2e27fb7f6a59402eaa984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11284",
    "kind": "arxiv",
    "version": 9
  }
}