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Pith Number

pith:ET7KJOPR

pith:2013:ET7KJOPRIVK2SNTTDHX7SCI6YC
not attested not anchored not stored refs pending

Validity of heavy-traffic steady-state approximations in many-server queues with abandonment

A. B. Dieker, J. G. Dai, Xuefeng Gao

arxiv:1306.5346 v2 · 2013-06-22 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ET7KJOPRIVK2SNTTDHX7SCI6YC}

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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 2026-05-18T03:02:34.864277Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

24fea4b9f14555a9367319eff9091ec0b7314498dd3dc06d7598f6609926b547

Aliases

arxiv: 1306.5346 · arxiv_version: 1306.5346v2 · doi: 10.48550/arxiv.1306.5346 · pith_short_12: ET7KJOPRIVK2 · pith_short_16: ET7KJOPRIVK2SNTT · pith_short_8: ET7KJOPR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ET7KJOPRIVK2SNTTDHX7SCI6YC \
  | 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: 24fea4b9f14555a9367319eff9091ec0b7314498dd3dc06d7598f6609926b547
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "84ea08d59a0374eed0c81b6c132e1c205e30ec06fbcc98aa61d9bf034c390c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-22T18:51:42Z",
    "title_canon_sha256": "0241d4b8b2469ed0bd021e317bb3f09de84e2ca93e7c1db62e11ef8d2ce4d49a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5346",
    "kind": "arxiv",
    "version": 2
  }
}