Pith Number

pith:VGKMUK4I

pith:2015:VGKMUK4IMVJZFPEU6GNOPWQDXX

not attested not anchored not stored refs pending

Sojourn time in a single server queue with threshold service rate control

Bernardo D'Auria, Ivo Adan

arxiv:1509.04111 v3 · 2015-09-14 · 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{VGKMUK4IMVJZFPEU6GNOPWQDXX}

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	2026-05-18T01:27:53.567350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a994ca2b88655392bc94f19ae7da03bdc3738c18f9cef7e05ec5295a1b026ec1

Aliases

arxiv: 1509.04111 · arxiv_version: 1509.04111v3 · doi: 10.48550/arxiv.1509.04111 · pith_short_12: VGKMUK4IMVJZ · pith_short_16: VGKMUK4IMVJZFPEU · pith_short_8: VGKMUK4I

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/VGKMUK4IMVJZFPEU6GNOPWQDXX \
  | 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: a994ca2b88655392bc94f19ae7da03bdc3738c18f9cef7e05ec5295a1b026ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9348182146face60f094d289befc414e45559bd3717396e5760569fb6e5999a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-14T14:28:08Z",
    "title_canon_sha256": "a69c2faefed6ffbc4173deab1aeaa66330e19bd372e01e54e9b0cd09b98c98ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04111",
    "kind": "arxiv",
    "version": 3
  }
}