Pith Number

pith:YBR4KCR3

pith:2018:YBR4KCR3RNJZCZXP6BYFYYAPW5

not attested not anchored not stored refs pending

Mean Field Approximations to a Queueing System with Threshold-Based Workload Control Scheme

Liwei Liuand Yiqiang Q. Zhao, Qihui Bu

arxiv:1802.07363 v2 · 2018-02-20 · 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{YBR4KCR3RNJZCZXP6BYFYYAPW5}

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	2026-05-18T00:10:38.422207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c063c50a3b8b539166eff0705c600fb7497175fdc3f3fa630c42210bbd82d534

Aliases

arxiv: 1802.07363 · arxiv_version: 1802.07363v2 · doi: 10.48550/arxiv.1802.07363 · pith_short_12: YBR4KCR3RNJZ · pith_short_16: YBR4KCR3RNJZCZXP · pith_short_8: YBR4KCR3

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/YBR4KCR3RNJZCZXP6BYFYYAPW5 \
  | 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: c063c50a3b8b539166eff0705c600fb7497175fdc3f3fa630c42210bbd82d534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bc45829d16962595116e7a361b1a1ad394edcee361ed7432403c24f9f9c61f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-20T22:38:51Z",
    "title_canon_sha256": "3a444234f401c8772edf24c04b5da3c3b69ce1fee93af90fd513cb25fc0458b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07363",
    "kind": "arxiv",
    "version": 2
  }
}