Pith Number

pith:RK7P6GSX

pith:2013:RK7P6GSXBHFSYPLZJ2KFYCXQO2

not attested not anchored not stored refs pending

On the optimal tradeoff of average service cost rate, average utility rate, and average delay for the state dependent M/M/1 queue

Utpal Mukherji, Vineeth B. S.

arxiv:1311.0486 v1 · 2013-11-03 · cs.PF · cs.NI · 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{RK7P6GSXBHFSYPLZJ2KFYCXQO2}

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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	2026-05-18T03:08:05.776564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8abeff1a5709cb2c3d794e945c0af076b5173308a4fc75152f621f66432e15fa

Aliases

arxiv: 1311.0486 · arxiv_version: 1311.0486v1 · doi: 10.48550/arxiv.1311.0486 · pith_short_12: RK7P6GSXBHFS · pith_short_16: RK7P6GSXBHFSYPLZ · pith_short_8: RK7P6GSX

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/RK7P6GSXBHFSYPLZJ2KFYCXQO2 \
  | 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: 8abeff1a5709cb2c3d794e945c0af076b5173308a4fc75152f621f66432e15fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726c1fec5b3cdf194e32df41018a6750c6ee051dafc0a98fc5410fbb358a9685",
    "cross_cats_sorted": [
      "cs.NI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2013-11-03T16:07:43Z",
    "title_canon_sha256": "76989dde55e6e603b8fdda748a942b50c9e78314a0787a04bc90ef90af2a37a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0486",
    "kind": "arxiv",
    "version": 1
  }
}