Pith Number

pith:ZPGN7UQN

pith:2015:ZPGN7UQNPJ6OWS6VA4SPH6CR7E

not attested not anchored not stored refs pending

Analysis of the Optimal Resource Allocation for a Tandem Queueing System

Chen Gang, Liu Zaiming, Wu Jinbiao

arxiv:1504.01248 v1 · 2015-04-06 · 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{ZPGN7UQNPJ6OWS6VA4SPH6CR7E}

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	2026-05-18T02:19:34.801639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbccdfd20d7a7ceb4bd50724f3f851f92555163b44614a93dd13f6f603a16cc3

Aliases

arxiv: 1504.01248 · arxiv_version: 1504.01248v1 · doi: 10.48550/arxiv.1504.01248 · pith_short_12: ZPGN7UQNPJ6O · pith_short_16: ZPGN7UQNPJ6OWS6V · pith_short_8: ZPGN7UQN

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/ZPGN7UQNPJ6OWS6VA4SPH6CR7E \
  | 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: cbccdfd20d7a7ceb4bd50724f3f851f92555163b44614a93dd13f6f603a16cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f92bfa15d1b5689a12052c6753e7d029f49246d22ca2ee80121dc78dd67d7ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-06T10:02:20Z",
    "title_canon_sha256": "d7dd1513a472d80c8bfd2c3103cd77e8f5df496279d0f55e4dbd2231e58f708d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01248",
    "kind": "arxiv",
    "version": 1
  }
}