Pith Number

pith:CYKLQQPW

pith:2014:CYKLQQPWBL5GGDTZ3PZOZQHICG

not attested not anchored not stored refs pending

Corrected phase-type approximations of heavy-tailed queueing models in a Markovian environment

Bert Zwart, Eleni Vatamidou, Ivo J.B.F. Adan, Maria Vlasiou

arxiv:1405.4853 v1 · 2014-05-19 · 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{CYKLQQPWBL5GGDTZ3PZOZQHICG}

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	2026-05-18T02:51:32.832634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1614b841f60afa630e79dbf2ecc0e81199f8113cd704c41d1c1154283d71af62

Aliases

arxiv: 1405.4853 · arxiv_version: 1405.4853v1 · doi: 10.48550/arxiv.1405.4853 · pith_short_12: CYKLQQPWBL5G · pith_short_16: CYKLQQPWBL5GGDTZ · pith_short_8: CYKLQQPW

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/CYKLQQPWBL5GGDTZ3PZOZQHICG \
  | 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: 1614b841f60afa630e79dbf2ecc0e81199f8113cd704c41d1c1154283d71af62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1a5fa565e58ea6419bb7da50cbf75117192a1bd9e3b3fba901bcd0e6f40e58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-19T19:47:47Z",
    "title_canon_sha256": "71d535e995d6a8480b4af7f110b0210a7c6dfe57f7c23e5b528dd917f9e74862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4853",
    "kind": "arxiv",
    "version": 1
  }
}