Pith Number

pith:BJPHB5DN

pith:2007:BJPHB5DN6EJQBBZ3CBLDMOYRHE

not attested not anchored not stored refs pending

Characterization of the Critical Submanifolds in Quantum Ensemble Control Landscapes

Herschel Rabitz, Michael Hsieh, Rebing Wu

arxiv:0708.1356 v2 · 2007-08-10 · 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{BJPHB5DN6EJQBBZ3CBLDMOYRHE}

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	2026-05-18T03:29:37.932997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a5e70f46df11300873b1056363b11392368935fbb00706ea18dee63e0249123

Aliases

arxiv: 0708.1356 · arxiv_version: 0708.1356v2 · doi: 10.48550/arxiv.0708.1356 · pith_short_12: BJPHB5DN6EJQ · pith_short_16: BJPHB5DN6EJQBBZ3 · pith_short_8: BJPHB5DN

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/BJPHB5DN6EJQBBZ3CBLDMOYRHE \
  | 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: 0a5e70f46df11300873b1056363b11392368935fbb00706ea18dee63e0249123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a0c301d6ff0d73c19a1f613175ffb4a0c9e59c3b0d93f49bdb2e8f61c0b297",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-08-10T01:41:27Z",
    "title_canon_sha256": "1747e64336aef024da2c1013127614d91f3b273cd17e1ee1ccdd2bf79b5cf6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1356",
    "kind": "arxiv",
    "version": 2
  }
}