Pith Number

pith:5G2IPNRC

pith:2022:5G2IPNRCLLMTKDJYHDW4YS2Y6S

not attested not anchored not stored refs pending

BilevelJuMP.jl: Modeling and Solving Bilevel Optimization in Julia

Alexandre Street, Guilherme Bodin, Joaquim Dias Garcia

arxiv:2205.02307 v3 · 2022-05-04 · math.OC · cs.MS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5G2IPNRCLLMTKDJYHDW4YS2Y6S}

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	2026-07-05T05:26:41.176048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b487b6225ad9350d3838edcc4b58f4bc1c769ebdd4bca0e8a3d8298f599125

Aliases

arxiv: 2205.02307 · arxiv_version: 2205.02307v3 · doi: 10.48550/arxiv.2205.02307 · pith_short_12: 5G2IPNRCLLMT · pith_short_16: 5G2IPNRCLLMTKDJY · pith_short_8: 5G2IPNRC

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/5G2IPNRCLLMTKDJYHDW4YS2Y6S \
  | 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: e9b487b6225ad9350d3838edcc4b58f4bc1c769ebdd4bca0e8a3d8298f599125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189eb6c5d4c67472c69427bc1239fd5fa510deb3815be0732a8e36ce19a5278b",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-05-04T20:00:51Z",
    "title_canon_sha256": "b3c89a75d55ae76158d3c2046155ed5be2698e164c290b9bbaf511df3c1e4a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02307",
    "kind": "arxiv",
    "version": 3
  }
}