Pith Number

pith:G4Q4FYB5

pith:2012:G4Q4FYB5K4G2PCUWNHBGLJVFT7

not attested not anchored not stored refs pending

From Local to Global Stability in Stochastic Processing Networks through Quadratic Lyapunov Functions

Antonius B. Dieker, Jinwoo Shin

arxiv:1210.0258 v1 · 2012-09-30 · math.PR · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4Q4FYB5K4G2PCUWNHBGLJVFT7}

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	2026-05-18T03:44:22.913201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3721c2e03d570da78a9669c265a6a59fcd93f3401d6e28722f3361ae84d2f013

Aliases

arxiv: 1210.0258 · arxiv_version: 1210.0258v1 · doi: 10.48550/arxiv.1210.0258 · pith_short_12: G4Q4FYB5K4G2 · pith_short_16: G4Q4FYB5K4G2PCUW · pith_short_8: G4Q4FYB5

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/G4Q4FYB5K4G2PCUWNHBGLJVFT7 \
  | 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: 3721c2e03d570da78a9669c265a6a59fcd93f3401d6e28722f3361ae84d2f013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e4e84de1d8aab519d02ac62a31ecd78d9de0513ce3ec1dfd21a443a2de57ff",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-30T23:52:38Z",
    "title_canon_sha256": "52a8a0088a5c93f2e53ee92572f98eb33a1d5177ed98c3f4da591321282f5ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0258",
    "kind": "arxiv",
    "version": 1
  }
}