Pith Number

pith:ES2N3B6N

pith:2025:ES2N3B6NGOQTCDLBRCJGUY54AG

not attested not anchored not stored refs pending

MultiObjectiveAlgorithms.jl: a Julia package for solving multi-objective optimization problems

G\"okhan Kof, Oscar Dowson, Xavier Gandibleux

arxiv:2507.05501 v2 · 2025-07-07 · 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{ES2N3B6NGOQTCDLBRCJGUY54AG}

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	2026-05-26T02:03:52.449931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614

Aliases

arxiv: 2507.05501 · arxiv_version: 2507.05501v2 · doi: 10.48550/arxiv.2507.05501 · pith_short_12: ES2N3B6NGOQT · pith_short_16: ES2N3B6NGOQTCDLB · pith_short_8: ES2N3B6N

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/ES2N3B6NGOQTCDLBRCJGUY54AG \
  | 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: 24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0bd0aae8bfa3c30b4d655552811232268037ae919490421c023120c0c2defc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-07T21:53:13Z",
    "title_canon_sha256": "d73b0422c007ec22e35902499d10ed4d30fd6442990d1e3a87a2c504150d85f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05501",
    "kind": "arxiv",
    "version": 2
  }
}