Pith Number

pith:APQ4LDX3

pith:2011:APQ4LDX3FVTTSV5ATGOVOK4XPE

not attested not anchored not stored refs pending

A short note on the monotonicity of the Erlang C formula in the Halfin-Whitt regime

Bernardo D'Auria

arxiv:1112.3689 v1 · 2011-12-15 · 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{APQ4LDX3FVTTSV5ATGOVOK4XPE}

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	2026-05-18T04:06:09.108998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e1c58efb2d673957a0999d572b977912cf6e94a8dbcfe996ce391cb470f70f

Aliases

arxiv: 1112.3689 · arxiv_version: 1112.3689v1 · doi: 10.48550/arxiv.1112.3689 · pith_short_12: APQ4LDX3FVTT · pith_short_16: APQ4LDX3FVTTSV5A · pith_short_8: APQ4LDX3

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/APQ4LDX3FVTTSV5ATGOVOK4XPE \
  | 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: 03e1c58efb2d673957a0999d572b977912cf6e94a8dbcfe996ce391cb470f70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56e7fdb8c3e5950a15b63d5ee490d2bc6e0fe701b96685fc6aaf8aa42841d7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-15T23:25:50Z",
    "title_canon_sha256": "9646c51a06f37db4d560f3106d31179f1c1f2a9aebd88e5d913c1cb9d86b877c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3689",
    "kind": "arxiv",
    "version": 1
  }
}