Pith Number

pith:LTXJ3K2E

pith:2014:LTXJ3K2ENYKNAEUZP6EDFQWSNM

not attested not anchored not stored refs pending

Corrected phase-type approximations for the workload of the MAP/G/1 queue with heavy-tailed service times

Bert Zwart, Eleni Vatamidou, Ivo J.B.F. Adan, Maria Vlasiou

arxiv:1405.0141 v1 · 2014-05-01 · 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{LTXJ3K2ENYKNAEUZP6EDFQWSNM}

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	2026-05-18T02:52:48.903998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cee9dab446e14d012997f8832c2d26b20c0dcb3a65e4186c76b4bd1d3ffd1c0

Aliases

arxiv: 1405.0141 · arxiv_version: 1405.0141v1 · doi: 10.48550/arxiv.1405.0141 · pith_short_12: LTXJ3K2ENYKN · pith_short_16: LTXJ3K2ENYKNAEUZ · pith_short_8: LTXJ3K2E

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/LTXJ3K2ENYKNAEUZP6EDFQWSNM \
  | 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: 5cee9dab446e14d012997f8832c2d26b20c0dcb3a65e4186c76b4bd1d3ffd1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ee60cf23098679749165d010f33537251463973f8ad04e2a2d79e1b10044c8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-01T12:08:25Z",
    "title_canon_sha256": "a0fb7d1b483f2b08dd8706d2b090f4bd47646dcc2552dd0c770530863e2a4c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0141",
    "kind": "arxiv",
    "version": 1
  }
}