Pith Number

pith:YXQYD3T3

pith:2014:YXQYD3T3UWIKGS45KZ5SZOP4J5

not attested not anchored not stored refs pending

Diffusion models and steady-state approximations for exponentially ergodic Markovian queues

Itai Gurvich

arxiv:1409.3393 v1 · 2014-09-11 · 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{YXQYD3T3UWIKGS45KZ5SZOP4J5}

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	2026-05-18T02:43:01.477018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e181ee7ba590a34b9d567b2cb9fc4f5d38b4fa53d0c07f5a21137e57f3d8ab

Aliases

arxiv: 1409.3393 · arxiv_version: 1409.3393v1 · doi: 10.48550/arxiv.1409.3393 · pith_short_12: YXQYD3T3UWIK · pith_short_16: YXQYD3T3UWIKGS45 · pith_short_8: YXQYD3T3

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/YXQYD3T3UWIKGS45KZ5SZOP4J5 \
  | 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: c5e181ee7ba590a34b9d567b2cb9fc4f5d38b4fa53d0c07f5a21137e57f3d8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d08f80eced63af7b06b7ca2991bbb41da728221ca305bcf21d2adc643c95c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-11T11:22:29Z",
    "title_canon_sha256": "6648f1b7102c2c0c7f3886b92495a4731c7e3654a583c74ddb2fa861c448cef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3393",
    "kind": "arxiv",
    "version": 1
  }
}