Pith Number

pith:UZ4OKDBR

pith:2006:UZ4OKDBR6WWAULX7K7TKC7CGRC

not attested not anchored not stored refs pending

A discrete-time Markov modulated queuing system with batched arrivals

Richard G. Clegg

arxiv:math/0612476 v3 · 2006-12-16 · math.PR · math.DS · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ4OKDBR6WWAULX7K7TKC7CGRC}

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	2026-05-18T03:29:39.254920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a678e50c31f5ac0a2eff57e6a17c4688bc544ef92514e2fec2120727d37bb0fb

Aliases

arxiv: math/0612476 · arxiv_version: math/0612476v3 · doi: 10.48550/arxiv.math/0612476 · pith_short_12: UZ4OKDBR6WWA · pith_short_16: UZ4OKDBR6WWAULX7 · pith_short_8: UZ4OKDBR

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/UZ4OKDBR6WWAULX7K7TKC7CGRC \
  | 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: a678e50c31f5ac0a2eff57e6a17c4688bc544ef92514e2fec2120727d37bb0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b830a6c1e0c9e4faec8ce95e21e0690099bcf72ade486413d9aee565189c1ad",
    "cross_cats_sorted": [
      "math.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-16T19:30:37Z",
    "title_canon_sha256": "980c46f6adcf347be5a4ca5c69604fa4026736e63933a8348b5a8f37c4da2af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612476",
    "kind": "arxiv",
    "version": 3
  }
}