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Pith Number

pith:27A7KTP2

pith:2015:27A7KTP2K5M4M7PNCHEVJX3AF4
not attested not anchored not stored refs pending

Necessary condition for null controllability in many-server heavy traffic

Gennady Shaikhet

arxiv:1501.06277 v1 · 2015-01-26 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{27A7KTP2K5M4M7PNCHEVJX3AF4}

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 2026-05-18T02:28:41.856354Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d7c1f54dfa5759c67ded11c954df602f376891f2ad00c32996d6ac457f8f0294

Aliases

arxiv: 1501.06277 · arxiv_version: 1501.06277v1 · doi: 10.48550/arxiv.1501.06277 · pith_short_12: 27A7KTP2K5M4 · pith_short_16: 27A7KTP2K5M4M7PN · pith_short_8: 27A7KTP2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/27A7KTP2K5M4M7PNCHEVJX3AF4 \
  | 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: d7c1f54dfa5759c67ded11c954df602f376891f2ad00c32996d6ac457f8f0294
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9ca5421bce8f2a2d00152c3f30310cedd253cb8a1a93e4082347a6c14bdd5178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-26T07:56:22Z",
    "title_canon_sha256": "31a39954322a277bc9c984cace98a2b7009c2cec27612e1baf425067c3b0cd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06277",
    "kind": "arxiv",
    "version": 1
  }
}