Pith Number

pith:NRBNUUDA

pith:2011:NRBNUUDA6OFLDYIROZEH3B7DSR

not attested not anchored not stored refs pending

The class of distributions associated with the generalized Pollaczek-Khinchine formula

Offer Kella

arxiv:1111.7099 v1 · 2011-11-30 · 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{NRBNUUDA6OFLDYIROZEH3B7DSR}

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	2026-05-18T03:43:52.753597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c42da5060f38ab1e11176487d87e3947da208822ccefcd0542a1d264c7419e2

Aliases

arxiv: 1111.7099 · arxiv_version: 1111.7099v1 · doi: 10.48550/arxiv.1111.7099 · pith_short_12: NRBNUUDA6OFL · pith_short_16: NRBNUUDA6OFLDYIR · pith_short_8: NRBNUUDA

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/NRBNUUDA6OFLDYIROZEH3B7DSR \
  | 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: 6c42da5060f38ab1e11176487d87e3947da208822ccefcd0542a1d264c7419e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e461166a5801a66073d66ee2a605b70c7ca0c860dbb74a08bec3ed4e61044a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-30T09:44:53Z",
    "title_canon_sha256": "28cf9882a2dfce412d71f30d22037773f5f293a7a073fb0f0a58d0234768511c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7099",
    "kind": "arxiv",
    "version": 1
  }
}