Pith Number

pith:EVOKKBB3

pith:2012:EVOKKBB3JASCU4QAJL4NPE7VGU

not attested not anchored not stored refs pending

Implicit Lyapunov Control for the Quantum Liouville Equation

Fangfang Meng, Jianxiu Liu, Shuang Cong

arxiv:1212.3416 v1 · 2012-12-14 · cs.SY · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVOKKBB3JASCU4QAJL4NPE7VGU}

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	2026-05-18T02:44:57.017996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255ca5043b48242a72004af8d793f53502313365416b38f391ac69bcb4c57f71

Aliases

arxiv: 1212.3416 · arxiv_version: 1212.3416v1 · doi: 10.48550/arxiv.1212.3416 · pith_short_12: EVOKKBB3JASC · pith_short_16: EVOKKBB3JASCU4QA · pith_short_8: EVOKKBB3

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/EVOKKBB3JASCU4QAJL4NPE7VGU \
  | 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: 255ca5043b48242a72004af8d793f53502313365416b38f391ac69bcb4c57f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9872f51d5985332b0f0856146195d317df9b046a5f31f19637b7899e0b303826",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-12-14T09:13:14Z",
    "title_canon_sha256": "cd83565efe9e2cb7d650323264cd76eb7eb5e1f358809a9e9cb2c5a69ec4ddd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3416",
    "kind": "arxiv",
    "version": 1
  }
}