Pith Number

pith:OPRBRXZB

pith:2012:OPRBRXZBYFOWY73IPORWDUCUGH

not attested not anchored not stored refs pending

Dynamical invariants for quantum control of four-level systems

Mikio Nakahara, Mohammad Ali Fasihi, Utkan G\"ung\"ord\"u, Yidun Wan

arxiv:1205.3034 v3 · 2012-05-14 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPRBRXZBYFOWY73IPORWDUCUGH}

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	2026-05-18T03:36:58.185825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e218df21c15d6c7f687ba361d05431d3a492f6430dbd447b318dc93c54956a

Aliases

arxiv: 1205.3034 · arxiv_version: 1205.3034v3 · doi: 10.48550/arxiv.1205.3034 · pith_short_12: OPRBRXZBYFOW · pith_short_16: OPRBRXZBYFOWY73I · pith_short_8: OPRBRXZB

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/OPRBRXZBYFOWY73IPORWDUCUGH \
  | 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: 73e218df21c15d6c7f687ba361d05431d3a492f6430dbd447b318dc93c54956a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c221d0186655f53701ee38bb2802f12ea045ffe351f338dc7c2be8c2ebe2e1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-14T14:10:00Z",
    "title_canon_sha256": "cc83690edb1b97b8ce828b43f3aed4289a7589ba43f9f288a57190d0fbbaa478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3034",
    "kind": "arxiv",
    "version": 3
  }
}