Pith Number

pith:K4M4V5VE

pith:2013:K4M4V5VE7O4CYSCZFYQD5BG4DQ

not attested not anchored not stored refs pending

On the Sojourn Time Distribution in a Finite Population Markovian Processor Sharing Queue

Charles Knessl, Johan S.H. van Leeuwaarden, Qiang Zhen

arxiv:1309.2700 v1 · 2013-09-11 · 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{K4M4V5VE7O4CYSCZFYQD5BG4DQ}

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	2026-05-18T03:13:35.152485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5719caf6a4fbb82c48592e203e84dc1c3e5a285ffc36449c18d72806e2345268

Aliases

arxiv: 1309.2700 · arxiv_version: 1309.2700v1 · doi: 10.48550/arxiv.1309.2700 · pith_short_12: K4M4V5VE7O4C · pith_short_16: K4M4V5VE7O4CYSCZ · pith_short_8: K4M4V5VE

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/K4M4V5VE7O4CYSCZFYQD5BG4DQ \
  | 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: 5719caf6a4fbb82c48592e203e84dc1c3e5a285ffc36449c18d72806e2345268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08383894b63f431f4d3b34236587bff8fad467a923b31d1a1e67b79cf4d83de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-11T00:31:43Z",
    "title_canon_sha256": "4a16bb0f47c180d7199b5096cd02ae7df447623995bf9458b72bb348b0c3ac78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2700",
    "kind": "arxiv",
    "version": 1
  }
}