Pith Number

pith:VCDQET3W

pith:2014:VCDQET3WJVD26AJAZ6ADOUK4OP

not attested not anchored not stored refs pending

Analysis and Computation of the Joint Queue Length Distribution in a FIFO Single-Server Queue with Multiple Batch Markovian Arrival Streams

Hiroyuki Masuyama, Tetsuya Takine

arxiv:1412.8006 v1 · 2014-12-27 · 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{VCDQET3WJVD26AJAZ6ADOUK4OP}

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	2026-05-18T02:30:24.411027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a887024f764d47af0120cf8037515c73ddc29bd68f75f117ec304e5949b75165

Aliases

arxiv: 1412.8006 · arxiv_version: 1412.8006v1 · doi: 10.48550/arxiv.1412.8006 · pith_short_12: VCDQET3WJVD2 · pith_short_16: VCDQET3WJVD26AJA · pith_short_8: VCDQET3W

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/VCDQET3WJVD26AJAZ6ADOUK4OP \
  | 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: a887024f764d47af0120cf8037515c73ddc29bd68f75f117ec304e5949b75165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22dbaa8a3a8fd27989eaf57fcbd2f184269fc32107ca96873e76b8879cad504a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-27T01:09:27Z",
    "title_canon_sha256": "0f48f4cab30117c9757428a0628218ee61448a2dad128e855a16d989b8cb9315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8006",
    "kind": "arxiv",
    "version": 1
  }
}