Pith Number

pith:PUQ6FR74

pith:2012:PUQ6FR74YRBBNOKFQQX5RH6LZG

not attested not anchored not stored refs pending

Dynamic Scheduling for Markov Modulated Single-server Multiclass Queueing Systems in Heavy Traffic

Amarjit Budhiraja, Arka Ghosh, Xin Liu

arxiv:1211.6831 v1 · 2012-11-29 · 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{PUQ6FR74YRBBNOKFQQX5RH6LZG}

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	2026-05-18T03:39:42.938740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d21e2c7fcc44216b945842fd89fcbc9a653d9cc9e9b2cb237f9ddfc5c303884

Aliases

arxiv: 1211.6831 · arxiv_version: 1211.6831v1 · doi: 10.48550/arxiv.1211.6831 · pith_short_12: PUQ6FR74YRBB · pith_short_16: PUQ6FR74YRBBNOKF · pith_short_8: PUQ6FR74

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/PUQ6FR74YRBBNOKFQQX5RH6LZG \
  | 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: 7d21e2c7fcc44216b945842fd89fcbc9a653d9cc9e9b2cb237f9ddfc5c303884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1551652dcf8e32ae594e72ff38264e4c33761ce5b403bec739ba2d3d19eb74d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-29T07:32:35Z",
    "title_canon_sha256": "0cd280dc9df0cf5dc2f999501dea30cd9c129624619a47e4b9d47755e5a1c4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6831",
    "kind": "arxiv",
    "version": 1
  }
}