Pith Number

pith:YMJ56WMN

pith:2020:YMJ56WMNUYJTXNMO5XT2TYNJ6Y

not attested not anchored not stored refs pending

Heavy Traffic Queue Length Behaviour in a Switch under Markovian Arrivals

Shancong Mou, Siva Theja Maguluri

arxiv:2006.06150 v2 · 2020-06-11 · 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{YMJ56WMNUYJTXNMO5XT2TYNJ6Y}

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	2026-07-05T07:20:46.289274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c313df598da6133bb58eede7a9e1a9f62b5b56c8434eb8ac458d7eeba327a42d

Aliases

arxiv: 2006.06150 · arxiv_version: 2006.06150v2 · doi: 10.48550/arxiv.2006.06150 · pith_short_12: YMJ56WMNUYJT · pith_short_16: YMJ56WMNUYJTXNMO · pith_short_8: YMJ56WMN

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/YMJ56WMNUYJTXNMO5XT2TYNJ6Y \
  | 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: c313df598da6133bb58eede7a9e1a9f62b5b56c8434eb8ac458d7eeba327a42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf7a289d670284346008cd5ebb28ab380cf62a96b6118ebc4abd19cc74a4530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-06-11T01:56:32Z",
    "title_canon_sha256": "e81440f72e6cd15bbfa1b44033a158089eb344f118682d74c84218271d083d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06150",
    "kind": "arxiv",
    "version": 2
  }
}