Pith Number

pith:M3ZNT5NZ

pith:2016:M3ZNT5NZJOWNWGH5SNKLGPKPYU

not attested not anchored not stored refs pending

The stability condition of BMAP/M/$\infty$ queues

Hiroyuki Masuyama, Moeko Yajima, Tuan Phung-Duc

arxiv:1612.06545 v1 · 2016-12-20 · 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{M3ZNT5NZJOWNWGH5SNKLGPKPYU}

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	2026-05-18T00:54:25.487807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f2d9f5b94bacdb18fd9354b33d4fc516583aecf4b870fdf6e01e232f0912c5

Aliases

arxiv: 1612.06545 · arxiv_version: 1612.06545v1 · doi: 10.48550/arxiv.1612.06545 · pith_short_12: M3ZNT5NZJOWN · pith_short_16: M3ZNT5NZJOWNWGH5 · pith_short_8: M3ZNT5NZ

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/M3ZNT5NZJOWNWGH5SNKLGPKPYU \
  | 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: 66f2d9f5b94bacdb18fd9354b33d4fc516583aecf4b870fdf6e01e232f0912c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11f0e24ad1790d8940482a9156af837fe9a3a50edb9d1db0f08cdcbfa0c985c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-20T08:22:38Z",
    "title_canon_sha256": "a4ca6315bbf23f6df820ec005491fc7e218d389a0a6530d208bf142c12c290ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06545",
    "kind": "arxiv",
    "version": 1
  }
}