Pith Number

pith:YNJB77Q4

pith:2013:YNJB77Q4QTUUYLTALHXL4BOPFP

not attested not anchored not stored refs pending

Optimal Switching On and Off the Entire Service Capacity of a Parallel Queue

Eugene Feinberg, Xiaoxuan Zhang

arxiv:1308.0039 v2 · 2013-07-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNJB77Q4QTUUYLTALHXL4BOPFP}

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	2026-05-18T01:29:47.206842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3521ffe1c84e94c2e6059eebe05cf2bc3bb415f11d367b7c5637218b2caabe4

Aliases

arxiv: 1308.0039 · arxiv_version: 1308.0039v2 · doi: 10.48550/arxiv.1308.0039 · pith_short_12: YNJB77Q4QTUU · pith_short_16: YNJB77Q4QTUUYLTA · pith_short_8: YNJB77Q4

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/YNJB77Q4QTUUYLTALHXL4BOPFP \
  | 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: c3521ffe1c84e94c2e6059eebe05cf2bc3bb415f11d367b7c5637218b2caabe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6884b738c54ea1133dec5acd92d232d7f9e3daf9073b253553717a4a6a6ce95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-31T21:08:31Z",
    "title_canon_sha256": "7dcd7bafcea62f0709174135c60f3970266f089e19dce183e927d0c48c76151a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0039",
    "kind": "arxiv",
    "version": 2
  }
}