Pith Number

pith:QQGEA5MM

pith:2023:QQGEA5MME6JX3KN2EMFJJP27DK

not attested not anchored not stored refs pending

Cardinality-Constrained Multi-Objective Optimization: Novel Optimality Conditions and Algorithms

Matteo Lapucci, Pierluigi Mansueto

arxiv:2304.02369 v1 · 2023-04-05 · 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{QQGEA5MME6JX3KN2EMFJJP27DK}

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	2026-07-05T07:52:39.998618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840c40758c27937da9ba230a94bf5f1a8436413eed2772a31280110c42e70002

Aliases

arxiv: 2304.02369 · arxiv_version: 2304.02369v1 · doi: 10.48550/arxiv.2304.02369 · pith_short_12: QQGEA5MME6JX · pith_short_16: QQGEA5MME6JX3KN2 · pith_short_8: QQGEA5MM

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/QQGEA5MME6JX3KN2EMFJJP27DK \
  | 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: 840c40758c27937da9ba230a94bf5f1a8436413eed2772a31280110c42e70002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8aaf31ed9fb0f609879f5aced390f42e36d9eee51a6f18a0723e0c1a66cd3dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-04-05T11:20:35Z",
    "title_canon_sha256": "de2cfe1b8e07be1e3fee780b2ace9b929a102a44b117aabab364fdd666678dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.02369",
    "kind": "arxiv",
    "version": 1
  }
}