Pith Number

pith:4YZ25VJS

pith:2014:4YZ25VJSAYUWRQIC4ODDUCFKBJ

not attested not anchored not stored refs pending

Optimal control theory with arbitrary superpositions of waveforms

Joachim Ankerhold, J\"urgen T. Stockburger, Rebecca Schmidt, Selina Meister

arxiv:1408.6801 v2 · 2014-08-27 · math.OC · cs.SY · 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{4YZ25VJSAYUWRQIC4ODDUCFKBJ}

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	2026-05-18T01:42:12.168475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e633aed532062968c102e3863a08aa0a5381b397b27c68b986f88905c8bbd58a

Aliases

arxiv: 1408.6801 · arxiv_version: 1408.6801v2 · doi: 10.48550/arxiv.1408.6801 · pith_short_12: 4YZ25VJSAYUW · pith_short_16: 4YZ25VJSAYUWRQIC · pith_short_8: 4YZ25VJS

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/4YZ25VJSAYUWRQIC4ODDUCFKBJ \
  | 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: e633aed532062968c102e3863a08aa0a5381b397b27c68b986f88905c8bbd58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1846b0e1689d01831043252c11de7fcef7ac0e02c9f4d0e435ac224fd951a4e3",
    "cross_cats_sorted": [
      "cs.SY",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-27T07:19:52Z",
    "title_canon_sha256": "2d557f35b019f6102a8935e1324bcca15cb335a9a61c74045c29fedf6ddab48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6801",
    "kind": "arxiv",
    "version": 2
  }
}