Pith Number

pith:HQ3GSYSO

pith:2012:HQ3GSYSOY5CCRSBA5XTJVGI7AG

not attested not anchored not stored refs pending

A recursive equations based representation for the $G/G/m$ queue

Nikolai Krivulin

arxiv:1210.6012 v1 · 2012-10-22 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ3GSYSOY5CCRSBA5XTJVGI7AG}

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	2026-05-18T03:42:34.498610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3669624ec74428c820ede69a991f01aa371f0b65f765055beca4f55e921b12

Aliases

arxiv: 1210.6012 · arxiv_version: 1210.6012v1 · doi: 10.48550/arxiv.1210.6012 · pith_short_12: HQ3GSYSOY5CC · pith_short_16: HQ3GSYSOY5CCRSBA · pith_short_8: HQ3GSYSO

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/HQ3GSYSOY5CCRSBA5XTJVGI7AG \
  | 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: 3c3669624ec74428c820ede69a991f01aa371f0b65f765055beca4f55e921b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d318ddc73970c6cae5dcd89c281ff4936841ded1dc0544c13c636c1a70b265f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-22T19:27:17Z",
    "title_canon_sha256": "a6878314705b0db89fc94ef05f3cf715ce4ad3fe78802497fe445ea6a6a70eab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6012",
    "kind": "arxiv",
    "version": 1
  }
}