Pith Number

pith:SDK5RLXS

pith:2011:SDK5RLXSLABCR3JUNXVKOM6WNQ

not attested not anchored not stored refs pending

Optimal control of population and coherence in three-level $\Lambda$ systems

Praveen Kumar, Svetlana A. Malinovskaya, Vladimir S. Malinovsky

arxiv:1104.4639 v1 · 2011-04-24 · quant-ph · physics.chem-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{SDK5RLXSLABCR3JUNXVKOM6WNQ}

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	2026-05-18T02:02:15.647061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d5d8aef2580228ed346deaa733d66c279e7b3f7b90578ee93c6626301c06f1

Aliases

arxiv: 1104.4639 · arxiv_version: 1104.4639v1 · doi: 10.48550/arxiv.1104.4639 · pith_short_12: SDK5RLXSLABC · pith_short_16: SDK5RLXSLABCR3JU · pith_short_8: SDK5RLXS

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/SDK5RLXSLABCR3JUNXVKOM6WNQ \
  | 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: 90d5d8aef2580228ed346deaa733d66c279e7b3f7b90578ee93c6626301c06f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafebf539da6c7b423f6e34772a74d6c3676dc0a115d67515a56ac7eaffc5da5",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-24T15:47:27Z",
    "title_canon_sha256": "83cc6ee2231163a6f2018a0cd5b56f631f9e3b0ac4ed597f0462c7696855dd41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4639",
    "kind": "arxiv",
    "version": 1
  }
}