Pith Number

pith:VRONO7QN

pith:2012:VRONO7QNITUN2H76JN25JNU5YO

not attested not anchored not stored refs pending

Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations

Yiqiang Zhao, Yuanyuan Liu

arxiv:1204.6571 v1 · 2012-04-30 · 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{VRONO7QNITUN2H76JN25JNU5YO}

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	2026-05-18T03:56:44.423521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5cd77e0d44e8dd1ffe4b75d4b69dc3bf5a9982bcc24d1cded2628796ec7698

Aliases

arxiv: 1204.6571 · arxiv_version: 1204.6571v1 · doi: 10.48550/arxiv.1204.6571 · pith_short_12: VRONO7QNITUN · pith_short_16: VRONO7QNITUN2H76 · pith_short_8: VRONO7QN

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/VRONO7QNITUN2H76JN25JNU5YO \
  | 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: ac5cd77e0d44e8dd1ffe4b75d4b69dc3bf5a9982bcc24d1cded2628796ec7698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27baa8c039a0d606a1468bc9b8e74b6f1d095f8af44dab812580457a9cf9e7bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-30T08:49:48Z",
    "title_canon_sha256": "dcdfde720d4d855b3cb42e07419d28bb857896e31227f25bb430d0015196e532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6571",
    "kind": "arxiv",
    "version": 1
  }
}