Pith Number

pith:5YF3KDQN

pith:2026:5YF3KDQNEACOGURSS3AUP45ZKK

not attested not anchored not stored refs pending

Directional first order approach for a class of bilevel programs

Jane J. Ye, Jin Zhang, Kuang Bai, Wei Yao

arxiv:2602.22573 v2 · 2026-02-26 · 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{5YF3KDQNEACOGURSS3AUP45ZKK}

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	2026-06-30T01:17:34.806109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0bb50e0d2004e3523296c147f3b9528cccab6a2ebc3d54973c57ca08e33e20

Aliases

arxiv: 2602.22573 · arxiv_version: 2602.22573v2 · doi: 10.48550/arxiv.2602.22573 · pith_short_12: 5YF3KDQNEACO · pith_short_16: 5YF3KDQNEACOGURS · pith_short_8: 5YF3KDQN

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/5YF3KDQNEACOGURSS3AUP45ZKK \
  | 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: ee0bb50e0d2004e3523296c147f3b9528cccab6a2ebc3d54973c57ca08e33e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bfae8bcff05d38d615e38ed868de6cbf9bd4b30464f2c5b3fe4eed97852ee12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-26T03:28:36Z",
    "title_canon_sha256": "e71473ce16c017b5b77d346738f01bab4d7392376044a810825f5f9de86e0f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.22573",
    "kind": "arxiv",
    "version": 2
  }
}