Pith Number

pith:LA6XTQO5

pith:2023:LA6XTQO5TCSEJ3VR2CE5P5VD5X

not attested not anchored not stored refs pending

Bilevel Optimal Control: Theory, Algorithms, and Applications

Felix Harder, Gerd Wachsmuth, Markus Friedemann, Patrick Mehlitz, Stephan Dempe

arxiv:2305.19786 v2 · 2023-05-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA6XTQO5TCSEJ3VR2CE5P5VD5X}

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	2026-07-05T07:15:55.783490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583d79c1dd98a444eeb1d089d7f6a3edec7bb1c15ee3756a7fb4b1511506b42a

Aliases

arxiv: 2305.19786 · arxiv_version: 2305.19786v2 · doi: 10.48550/arxiv.2305.19786 · pith_short_12: LA6XTQO5TCSE · pith_short_16: LA6XTQO5TCSEJ3VR · pith_short_8: LA6XTQO5

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/LA6XTQO5TCSEJ3VR2CE5P5VD5X \
  | 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: 583d79c1dd98a444eeb1d089d7f6a3edec7bb1c15ee3756a7fb4b1511506b42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a77139c2bea6fa008b589fa3588cf2cbed84b6091317ed26819f61ead63a1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-31T12:27:25Z",
    "title_canon_sha256": "d2bbee38945b1e4d7708eafb99b3e739956f6a9d12625f6579ceb0dbda656bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.19786",
    "kind": "arxiv",
    "version": 2
  }
}