Pith Number

pith:WCCFOCXK

pith:2015:WCCFOCXK5PQMN3GYUGCYXEZQTH

not attested not anchored not stored refs pending

L\'evy-driven Fluid Queue with Server Breakdowns and Vacations

Jinbiao Wu, Yi Peng, Zaiming Liu

arxiv:1506.04244 v1 · 2015-06-13 · 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{WCCFOCXK5PQMN3GYUGCYXEZQTH}

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	2026-05-18T01:49:55.170746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b084570aeaebe0c6ecd8a1858b933099e78aa6f76da92e9ab0f0ed8fe670577d

Aliases

arxiv: 1506.04244 · arxiv_version: 1506.04244v1 · doi: 10.48550/arxiv.1506.04244 · pith_short_12: WCCFOCXK5PQM · pith_short_16: WCCFOCXK5PQMN3GY · pith_short_8: WCCFOCXK

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/WCCFOCXK5PQMN3GYUGCYXEZQTH \
  | 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: b084570aeaebe0c6ecd8a1858b933099e78aa6f76da92e9ab0f0ed8fe670577d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ecd1737b942b5f23b7dd5a431590f0ac45abe52f69c4882e081f733e2fe56d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-13T09:58:14Z",
    "title_canon_sha256": "4ec8ad7bef9f7ea9e5c1a1f3465fd82dd9609560e2174890ecc316f3bf183601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04244",
    "kind": "arxiv",
    "version": 1
  }
}