Pith Number

pith:W54U7ZKP

pith:2021:W54U7ZKP3CFU72QJBMKOVM53OK

not attested not anchored not stored refs pending

Scholtes relaxation method for pessimistic bilevel optimization

Alain Zemkoho, Imane Benchouk, Khadra Nachi

arxiv:2110.13755 v2 · 2021-10-26 · 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{W54U7ZKP3CFU72QJBMKOVM53OK}

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.

Cited by

1 paper in Pith

On the Stability and Generalization of First-order Bilevel Minimax Optimization

Receipt and verification

First computed	2026-07-05T08:53:59.861565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7794fe54fd88b4fea090b14eab3bb72bdee43d82c750fd18b3660b00b94f971

Aliases

arxiv: 2110.13755 · arxiv_version: 2110.13755v2 · doi: 10.48550/arxiv.2110.13755 · pith_short_12: W54U7ZKP3CFU · pith_short_16: W54U7ZKP3CFU72QJ · pith_short_8: W54U7ZKP

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/W54U7ZKP3CFU72QJBMKOVM53OK \
  | 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: b7794fe54fd88b4fea090b14eab3bb72bdee43d82c750fd18b3660b00b94f971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a820e24ad4632b1995009753ec526b453def40deadb658c89bd03c96bba39cd0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-10-26T15:06:21Z",
    "title_canon_sha256": "1f592e26a55044bb03119348009ad2ba49a9a3ff2183d62a111ccb5dd1f43db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13755",
    "kind": "arxiv",
    "version": 2
  }
}