Pith Number

pith:VJRI2GMJ

pith:2018:VJRI2GMJIBJUKVUV7NT4VO23ON

not attested not anchored not stored refs pending

Asymptotics of Queue Length Distributions in Priority Retrial Queues

Dieter Claeys, Joris Walraevens, Tuan Phung-Duc

arxiv:1801.06993 v1 · 2018-01-22 · 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{VJRI2GMJIBJUKVUV7NT4VO23ON}

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	2026-05-18T00:25:22.574758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa628d19894053455695fb67cabb5b736620a990e81d2a19dd1ca769ef1113cb

Aliases

arxiv: 1801.06993 · arxiv_version: 1801.06993v1 · doi: 10.48550/arxiv.1801.06993 · pith_short_12: VJRI2GMJIBJU · pith_short_16: VJRI2GMJIBJUKVUV · pith_short_8: VJRI2GMJ

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/VJRI2GMJIBJUKVUV7NT4VO23ON \
  | 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: aa628d19894053455695fb67cabb5b736620a990e81d2a19dd1ca769ef1113cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a194c1d27bc51d4abf758c8131b07265dce6d7d6edea63ab2df1e6968c8b7288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-22T08:47:49Z",
    "title_canon_sha256": "4e35ca6f81011f0cb73a73c0fd640e981132cf1dd4837ade37c2bd8a157f8af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06993",
    "kind": "arxiv",
    "version": 1
  }
}