Pith Number

pith:F7ZFPBRD

pith:2016:F7ZFPBRDA7GLLWH5GZOAL3DKEP

not attested not anchored not stored refs pending

Robust Global Solutions of Bilevel Polynomial Optimization Problems with Uncertain Linear Constraints

T. D. Chuong, V. Jeyakumar

arxiv:1601.06464 v1 · 2016-01-25 · 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{F7ZFPBRDA7GLLWH5GZOAL3DKEP}

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	2026-05-18T01:22:04.428636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff257862307ccb5d8fd365c05ec6a23f2b317071b9bf2c6a530cd88489282da

Aliases

arxiv: 1601.06464 · arxiv_version: 1601.06464v1 · doi: 10.48550/arxiv.1601.06464 · pith_short_12: F7ZFPBRDA7GL · pith_short_16: F7ZFPBRDA7GLLWH5 · pith_short_8: F7ZFPBRD

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/F7ZFPBRDA7GLLWH5GZOAL3DKEP \
  | 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: 2ff257862307ccb5d8fd365c05ec6a23f2b317071b9bf2c6a530cd88489282da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1e1267d970223b00448ad4dd7296623d9902dc4febd1f83a0912879431839e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-25T01:48:36Z",
    "title_canon_sha256": "d50cdb7c73114536aaf00d21a05c1fe0fd5f512ce0f0e37d1c009dc8d1188f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06464",
    "kind": "arxiv",
    "version": 1
  }
}