Pith Number

pith:HU45ZIZO

pith:2018:HU45ZIZOQJJHAKGJIALC45FKIY

not attested not anchored not stored refs pending

On the Distributions of Infinite Server Queues with Batch Arrivals

Andrew Daw, Jamol Pender

arxiv:1805.02117 v3 · 2018-05-05 · 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{HU45ZIZOQJJHAKGJIALC45FKIY}

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	2026-05-17T23:54:54.376272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d39dca32e82527028c940162e74aa462e604ff9c0f99616dd352adb1d820947

Aliases

arxiv: 1805.02117 · arxiv_version: 1805.02117v3 · doi: 10.48550/arxiv.1805.02117 · pith_short_12: HU45ZIZOQJJH · pith_short_16: HU45ZIZOQJJHAKGJ · pith_short_8: HU45ZIZO

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/HU45ZIZOQJJHAKGJIALC45FKIY \
  | 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: 3d39dca32e82527028c940162e74aa462e604ff9c0f99616dd352adb1d820947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963d5e088e1eb33debf190327096b91d599df96234db155610d17daa6346e1ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-05T21:50:47Z",
    "title_canon_sha256": "0a8405d7f90e59209a856799f2b37ca58fb7bd119ceac751ee408af2e3395aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02117",
    "kind": "arxiv",
    "version": 3
  }
}