Pith Number

pith:7UGUYP7V

pith:2014:7UGUYP7VKY77XXY7TJJOS6LOJO

not attested not anchored not stored refs pending

Approximations and Optimal Control for State-dependent Limited Processor Sharing Queues

Jiheng Zhang, Varun Gupta

arxiv:1409.0153 v1 · 2014-08-30 · cs.SY · math.OC · 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{7UGUYP7VKY77XXY7TJJOS6LOJO}

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	2026-05-18T02:43:53.238199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0d4c3ff5563ffbdf1f9a52e9796e4b86ecce970fe0200c2c1f667b0775b356

Aliases

arxiv: 1409.0153 · arxiv_version: 1409.0153v1 · doi: 10.48550/arxiv.1409.0153 · pith_short_12: 7UGUYP7VKY77 · pith_short_16: 7UGUYP7VKY77XXY7 · pith_short_8: 7UGUYP7V

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/7UGUYP7VKY77XXY7TJJOS6LOJO \
  | 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: fd0d4c3ff5563ffbdf1f9a52e9796e4b86ecce970fe0200c2c1f667b0775b356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2121d64cbc21493ece3e73f882876f42837e822ac19c1d503e6ebf494f01ba90",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2014-08-30T19:45:54Z",
    "title_canon_sha256": "7318680496dac36208310e4de66a50e0f35fa256dbd28c2299882fd075c28a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0153",
    "kind": "arxiv",
    "version": 1
  }
}