Pith Number

pith:GDTA7U6C

pith:2026:GDTA7U6CRLKH6HWCGEE2VO4I52

not attested not anchored not stored refs pending

Benchmarking Bilevel Derivative-Free Optimization Algorithms

Charles Audet, Valentin Dijon, Youssef Diouane

arxiv:2605.30531 v1 · 2026-05-28 · 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{GDTA7U6CRLKH6HWCGEE2VO4I52}

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	2026-06-01T01:02:59.422378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e60fd3c28ad47f1ec23109aabb88eea3c2fdd63f39fedd61ea5ef23e856ca1

Aliases

arxiv: 2605.30531 · arxiv_version: 2605.30531v1 · doi: 10.48550/arxiv.2605.30531 · pith_short_12: GDTA7U6CRLKH · pith_short_16: GDTA7U6CRLKH6HWC · pith_short_8: GDTA7U6C

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/GDTA7U6CRLKH6HWCGEE2VO4I52 \
  | 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: 30e60fd3c28ad47f1ec23109aabb88eea3c2fdd63f39fedd61ea5ef23e856ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c686a3fc057316bdbb6271121c32a07ebfda8877ea02cf70a468da463c37ec42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-28T20:08:13Z",
    "title_canon_sha256": "5f2de0a74401b0c04cff7880b6def48563f86c0b2a067a5ab04c5632c534dde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30531",
    "kind": "arxiv",
    "version": 1
  }
}