Pith Number

pith:C5RQKUDQ

pith:2013:C5RQKUDQCBPRNK64TUD7LOSFJF

not attested not anchored not stored refs pending

The morphing of fluid queues into Markov-modulated Brownian motion

Giang T. Nguyen, Guy Latouche

arxiv:1311.3359 v2 · 2013-11-14 · 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{C5RQKUDQCBPRNK64TUD7LOSFJF}

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	2026-05-18T02:47:15.880306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1763055070105f16abdc9d07f5ba45496cb9cbed0573a14c7a00f40d281f0415

Aliases

arxiv: 1311.3359 · arxiv_version: 1311.3359v2 · doi: 10.48550/arxiv.1311.3359 · pith_short_12: C5RQKUDQCBPR · pith_short_16: C5RQKUDQCBPRNK64 · pith_short_8: C5RQKUDQ

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/C5RQKUDQCBPRNK64TUD7LOSFJF \
  | 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: 1763055070105f16abdc9d07f5ba45496cb9cbed0573a14c7a00f40d281f0415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84198fcfeff99b87415d53fa19bf6cc4cc1a7aadc8b9dbcea7a94502676f8056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-14T01:34:17Z",
    "title_canon_sha256": "7c22ec7c6ecde0ebbd45964c4f09be58b787b235b026fb81a8adc9bd2b1f3cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3359",
    "kind": "arxiv",
    "version": 2
  }
}