Pith Number

pith:IJO4BVLG

pith:2011:IJO4BVLGLPFYDERXEW7J734TPU

not attested not anchored not stored refs pending

A Matrix-Analytic Solution for Randomized Load Balancing Models with Phase-Type Service Times

John C.S. Lui, Quan-Lin Li, Yang Wang

arxiv:1101.4306 v1 · 2011-01-22 · cs.NI · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJO4BVLGLPFYDERXEW7J734TPU}

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	2026-05-18T02:22:50.469960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425dc0d5665bcb81923725be9fef937d395685ff3d6a42a89f13e0fda6b02b17

Aliases

arxiv: 1101.4306 · arxiv_version: 1101.4306v1 · doi: 10.48550/arxiv.1101.4306 · pith_short_12: IJO4BVLGLPFY · pith_short_16: IJO4BVLGLPFYDERX · pith_short_8: IJO4BVLG

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/IJO4BVLGLPFYDERXEW7J734TPU \
  | 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: 425dc0d5665bcb81923725be9fef937d395685ff3d6a42a89f13e0fda6b02b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d060b5ae9449001692902b0ce695e646aecfca202531f096eed092984b87c6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-01-22T18:35:45Z",
    "title_canon_sha256": "5b623b3967c4581e669056b1aa239af30039ad973f0fe2febe73cd37393eae2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4306",
    "kind": "arxiv",
    "version": 1
  }
}