Pith Number

pith:3MQNEVZE

pith:2019:3MQNEVZEMQ2FWKQK5HNUFSPJAO

not attested not anchored not stored refs pending

Retrial Queueing Models: A Survey on Theory and Applications

Tuan Phung-Duc

arxiv:1906.09560 v1 · 2019-06-23 · cs.PF · 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{3MQNEVZEMQ2FWKQK5HNUFSPJAO}

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	2026-05-17T23:42:37.546552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db20d2572464345b2a0ae9db42c9e90384574cfbce6287725b964b4bac78d493

Aliases

arxiv: 1906.09560 · arxiv_version: 1906.09560v1 · doi: 10.48550/arxiv.1906.09560 · pith_short_12: 3MQNEVZEMQ2F · pith_short_16: 3MQNEVZEMQ2FWKQK · pith_short_8: 3MQNEVZE

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/3MQNEVZEMQ2FWKQK5HNUFSPJAO \
  | 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: db20d2572464345b2a0ae9db42c9e90384574cfbce6287725b964b4bac78d493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccd9ae20fe83dd03621340aa584e391a1d5cf827ad307d2af5eaa280c5dce56",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2019-06-23T06:53:15Z",
    "title_canon_sha256": "bcfed62528fb040ee865168910eb44fbd2fd1078b1af577995a9b7a981211ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09560",
    "kind": "arxiv",
    "version": 1
  }
}