Pith Number

pith:BIGXCYRM

pith:2013:BIGXCYRMWWZKSTHUR6762YJNV3

not attested not anchored not stored refs pending

Spectral gap of the Erlang A model in the Halfin-Whitt regime

Charles Knessl, Johan S.H. van Leeuwaarden

arxiv:1302.2507 v1 · 2013-02-11 · 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{BIGXCYRMWWZKSTHUR6762YJNV3}

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	2026-05-18T03:34:00.957358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0d71622cb5b2a94cf48fbfed612daee7e7f9855d260b5b32663e74bad9a396

Aliases

arxiv: 1302.2507 · arxiv_version: 1302.2507v1 · doi: 10.48550/arxiv.1302.2507 · pith_short_12: BIGXCYRMWWZK · pith_short_16: BIGXCYRMWWZKSTHU · pith_short_8: BIGXCYRM

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/BIGXCYRMWWZKSTHUR6762YJNV3 \
  | 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: 0a0d71622cb5b2a94cf48fbfed612daee7e7f9855d260b5b32663e74bad9a396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74fcd47960204ab30d1f52a50916bd2a72dbdcf727be7453cfc4331e48077d94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-11T15:38:55Z",
    "title_canon_sha256": "db4f86fd9c7e27ecd5ec708a4c29a06e0bac298523f31373bb907a317ba92150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2507",
    "kind": "arxiv",
    "version": 1
  }
}