Pith Number

pith:IV4Q2MJM

pith:2010:IV4Q2MJMRV2XKVAGXMDQIQNI6U

not attested not anchored not stored refs pending

Optimising a nonlinear utility function in multi-objective integer programming

Benjamin A. Burton, Melih Ozlen, Meral Azizo\u{g}lu

arxiv:1011.2055 v3 · 2010-11-09 · 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{IV4Q2MJMRV2XKVAGXMDQIQNI6U}

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	2026-05-18T03:28:56.553064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45790d312c8d75755406bb070441a8f51a68e2eaffc9ed578df003ee6455458c

Aliases

arxiv: 1011.2055 · arxiv_version: 1011.2055v3 · doi: 10.48550/arxiv.1011.2055 · pith_short_12: IV4Q2MJMRV2X · pith_short_16: IV4Q2MJMRV2XKVAG · pith_short_8: IV4Q2MJM

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/IV4Q2MJMRV2XKVAGXMDQIQNI6U \
  | 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: 45790d312c8d75755406bb070441a8f51a68e2eaffc9ed578df003ee6455458c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be35a29849562cdd710ac17d52d39e51091fa74ed966148100012e7fe5f9fde1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-09T12:11:48Z",
    "title_canon_sha256": "2d9fe3d2121f8fe74ad03f8bd242dacd9f17ab3e95e59838a445389151118525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2055",
    "kind": "arxiv",
    "version": 3
  }
}