Pith Number

pith:IIKSXR4R

pith:2019:IIKSXR4RORC47OL5664VJPM7EY

not attested not anchored not stored refs pending

Benders Subproblem Decomposition for Bilevel Problems with Convex Follower

Geunyeong Byeon, Pascal Van Hentenryck

arxiv:1902.04375 v3 · 2019-02-12 · 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{IIKSXR4RORC47OL5664VJPM7EY}

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	2026-07-05T02:32:43.475856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42152bc7917445cfb97df7b954bd9f2606dafb4ed8a8099aa9ad6cedecebb869

Aliases

arxiv: 1902.04375 · arxiv_version: 1902.04375v3 · doi: 10.48550/arxiv.1902.04375 · pith_short_12: IIKSXR4RORC4 · pith_short_16: IIKSXR4RORC47OL5 · pith_short_8: IIKSXR4R

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/IIKSXR4RORC47OL5664VJPM7EY \
  | 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: 42152bc7917445cfb97df7b954bd9f2606dafb4ed8a8099aa9ad6cedecebb869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7fc8a7212b3b0a4c868fe6d8c47eb5e3cc786c8331df6e4ec8819fa081674a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-12T13:19:54Z",
    "title_canon_sha256": "5ac131f489074dcb03e35c41e2075b5d142c0317336e74f456bfe66749224fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04375",
    "kind": "arxiv",
    "version": 3
  }
}