Pith Number

pith:XAQ7F5MT

pith:2010:XAQ7F5MTAGBHS5UJ2DTLRZMDFM

not attested not anchored not stored refs pending

On the rate of convergence to stationarity of the M/M/N queue in the Halfin-Whitt regime

David A. Goldberg, David Gamarnik

arxiv:1003.2004 v3 · 2010-03-10 · 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{XAQ7F5MTAGBHS5UJ2DTLRZMDFM}

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	2026-05-18T03:13:56.633030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b821f2f5930182797689d0e6b8e5832b13eea11448344a5eba93280443735053

Aliases

arxiv: 1003.2004 · arxiv_version: 1003.2004v3 · doi: 10.48550/arxiv.1003.2004 · pith_short_12: XAQ7F5MTAGBH · pith_short_16: XAQ7F5MTAGBHS5UJ · pith_short_8: XAQ7F5MT

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/XAQ7F5MTAGBHS5UJ2DTLRZMDFM \
  | 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: b821f2f5930182797689d0e6b8e5832b13eea11448344a5eba93280443735053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed7f21eaae5162d6ad1f3af1d3d8f3ac456cd1529f9b3f1725e1c9f34e1afa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-10T01:10:58Z",
    "title_canon_sha256": "f4519e786f5f7708b0c9b88356d3496076a668a0e3d0d830c9e731134f5b7c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2004",
    "kind": "arxiv",
    "version": 3
  }
}