Pith Number

pith:52WZO5VH

pith:2015:52WZO5VHRCY3L2C6JDBX7QGHPZ

not attested not anchored not stored refs pending

Sparse Control of Quantum Systems

Felix Henneke, Gero Friesecke, Karl Kunisch

arxiv:1507.00768 v2 · 2015-07-02 · math.OC · 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{52WZO5VHRCY3L2C6JDBX7QGHPZ}

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	2026-05-18T01:11:05.196682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eead9776a788b1b5e85e48c37fc0c77e4917a82ab3c3550c9d3bb4f8af2320d4

Aliases

arxiv: 1507.00768 · arxiv_version: 1507.00768v2 · doi: 10.48550/arxiv.1507.00768 · pith_short_12: 52WZO5VHRCY3 · pith_short_16: 52WZO5VHRCY3L2C6 · pith_short_8: 52WZO5VH

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/52WZO5VHRCY3L2C6JDBX7QGHPZ \
  | 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: eead9776a788b1b5e85e48c37fc0c77e4917a82ab3c3550c9d3bb4f8af2320d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e57a1cde5f47517886c08dc12d7b6ee1034ccd528d8635a73fdcf6f7ef934d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-02T21:26:57Z",
    "title_canon_sha256": "8d8faeac05607f9e022d90a72d1bb8cb7f9889154fb406b3aa1e33f2d63e8b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00768",
    "kind": "arxiv",
    "version": 2
  }
}