Pith Number

pith:E4OKVHDW

pith:2016:E4OKVHDWNZDNDOGJTUTQGWPKLJ

not attested not anchored not stored refs pending

Linear structures in nonlinear optimal control

Jakob L\"ober

arxiv:1604.01261 v1 · 2016-04-05 · math.OC · cs.SY · math.DS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4OKVHDWNZDNDOGJTUTQGWPKLJ}

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	2026-05-18T01:17:38.705699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271caa9c766e46d1b8c99d270359ea5a5e4a9ee83643a05bba4329be001b76b9

Aliases

arxiv: 1604.01261 · arxiv_version: 1604.01261v1 · doi: 10.48550/arxiv.1604.01261 · pith_short_12: E4OKVHDWNZDN · pith_short_16: E4OKVHDWNZDNDOGJ · pith_short_8: E4OKVHDW

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/E4OKVHDWNZDNDOGJTUTQGWPKLJ \
  | 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: 271caa9c766e46d1b8c99d270359ea5a5e4a9ee83643a05bba4329be001b76b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff265a79938706577c76c988935333f221a33fb6c1ec1cda1d71bab670d697f4",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-05T14:00:58Z",
    "title_canon_sha256": "c7e8653e7348a9ba0cc925eff6f47c71d33058541b7fcb02bf3cfa3178c1df12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01261",
    "kind": "arxiv",
    "version": 1
  }
}