Pith Number

pith:YIJK54YN

pith:2011:YIJK54YNBWD7N547MZTMCA2MIF

not attested not anchored not stored refs pending

Steady-state $\mathit{GI}/\mathit{GI}/\mathit{n}$ queue in the Halfin-Whitt regime

David A. Goldberg, David Gamarnik

arxiv:1103.1709 v2 · 2011-03-09 · 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{YIJK54YNBWD7N547MZTMCA2MIF}

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	2026-05-18T03:05:45.135684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c212aef30d0d87f6f79f6666c1034c4166979a96fa221e40117d92ae3eeeccb0

Aliases

arxiv: 1103.1709 · arxiv_version: 1103.1709v2 · doi: 10.48550/arxiv.1103.1709 · pith_short_12: YIJK54YNBWD7 · pith_short_16: YIJK54YNBWD7N547 · pith_short_8: YIJK54YN

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/YIJK54YNBWD7N547MZTMCA2MIF \
  | 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: c212aef30d0d87f6f79f6666c1034c4166979a96fa221e40117d92ae3eeeccb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96280945f093e4e28e46a34570e389fa58cb130e2eddf71f04becb945b4c7c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-09T06:07:47Z",
    "title_canon_sha256": "6a1a281b8a6008bbdfc2abeee20f26715035cac137c534e43e89a57b25fc55fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1709",
    "kind": "arxiv",
    "version": 2
  }
}