Pith Number

pith:4UTIVB7U

pith:2016:4UTIVB7UAHGKH5ROIRYHI2POQ6

not attested not anchored not stored refs pending

The restricted Erlang-R Queue: Finite-size effects in service systems with returning customers

Britt W.J. Mathijsen, Fiona Sloothaak, Galit B. Yom-Tov, Johan S.H. van Leeuwaarden

arxiv:1612.07088 v1 · 2016-12-21 · 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{4UTIVB7UAHGKH5ROIRYHI2POQ6}

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	2026-05-18T00:54:14.716275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5268a87f401cca3f62e44707469ee879d4503155bfc4def0eb0558031ec689f

Aliases

arxiv: 1612.07088 · arxiv_version: 1612.07088v1 · doi: 10.48550/arxiv.1612.07088 · pith_short_12: 4UTIVB7UAHGK · pith_short_16: 4UTIVB7UAHGKH5RO · pith_short_8: 4UTIVB7U

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/4UTIVB7UAHGKH5ROIRYHI2POQ6 \
  | 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: e5268a87f401cca3f62e44707469ee879d4503155bfc4def0eb0558031ec689f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc04f81a61a6ce15f71c5da1b59728a75573b7ee664f2c0b08628685486543cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-21T13:07:16Z",
    "title_canon_sha256": "ee5cdadbe8a8eef43dbf2bab29344d0eb0033866604f7d1c41988fbb5eb5acd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07088",
    "kind": "arxiv",
    "version": 1
  }
}