Pith Number

pith:6ZHWZBKC

pith:2013:6ZHWZBKCKBQ7WONIMN427DVERL

not attested not anchored not stored refs pending

Convergence to Equilibrium States for Fluid Models of Many-server Queues with Abandonment

Jiheng Zhang, Zhenghua Long

arxiv:1308.5318 v1 · 2013-08-24 · 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{6ZHWZBKCKBQ7WONIMN427DVERL}

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	2026-05-18T03:15:05.212618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f64f6c85425061fb39a86379af8ea48af719bff12fa9fb326196bceef42169bb

Aliases

arxiv: 1308.5318 · arxiv_version: 1308.5318v1 · doi: 10.48550/arxiv.1308.5318 · pith_short_12: 6ZHWZBKCKBQ7 · pith_short_16: 6ZHWZBKCKBQ7WONI · pith_short_8: 6ZHWZBKC

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/6ZHWZBKCKBQ7WONIMN427DVERL \
  | 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: f64f6c85425061fb39a86379af8ea48af719bff12fa9fb326196bceef42169bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959c21ed2928da63cac4ca20b94861ace9d5cfb5ec1338c8ebf0a91a71c52d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-24T11:34:29Z",
    "title_canon_sha256": "8d647fb84663b093213fd698646e0a8a7d3bc45bc6e9a0d27e531358abfcec80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5318",
    "kind": "arxiv",
    "version": 1
  }
}