Pith Number

pith:3D6O4NKI

pith:2010:3D6O4NKIE6SYJI5F6E5TOVA4GC

not attested not anchored not stored refs pending

Uniform Approximations for the M/G/1 Queue with Subexponential Processing Times

Mariana Olvera-Cravioto, Peter W. Glynn

arxiv:1009.5327 v2 · 2010-09-27 · 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{3D6O4NKIE6SYJI5F6E5TOVA4GC}

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	2026-05-18T04:26:23.163699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fcee354827a584a3a5f13b37541c30827c7d5fbbb23bd1831e2ed9439107a1

Aliases

arxiv: 1009.5327 · arxiv_version: 1009.5327v2 · doi: 10.48550/arxiv.1009.5327 · pith_short_12: 3D6O4NKIE6SY · pith_short_16: 3D6O4NKIE6SYJI5F · pith_short_8: 3D6O4NKI

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/3D6O4NKIE6SYJI5F6E5TOVA4GC \
  | 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: d8fcee354827a584a3a5f13b37541c30827c7d5fbbb23bd1831e2ed9439107a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2731566d897d37b2ed86e999c03aa64555ca677820253485953c9824eae94967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-27T17:00:54Z",
    "title_canon_sha256": "97aca0f2e452d5c7e92b52aeab6756e647c0b36972defb063e84c46bd022c7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5327",
    "kind": "arxiv",
    "version": 2
  }
}