Pith Number

pith:Y3KKKCNL

pith:2016:Y3KKKCNLPOJ2BBDTRRZLJEXWHC

not attested not anchored not stored refs pending

On the existence of Pareto solutions for polynomial vector optimization problems

Do Sang Kim, Nguyen Van Tuyen, Tien-Son Pham

arxiv:1611.07108 v3 · 2016-11-22 · 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{Y3KKKCNLPOJ2BBDTRRZLJEXWHC}

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	2026-05-18T00:18:36.337460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d4a509ab7b93a084738c72b492f638b909e94090f7ed81f3d328ea00191fd8

Aliases

arxiv: 1611.07108 · arxiv_version: 1611.07108v3 · doi: 10.48550/arxiv.1611.07108 · pith_short_12: Y3KKKCNLPOJ2 · pith_short_16: Y3KKKCNLPOJ2BBDT · pith_short_8: Y3KKKCNL

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/Y3KKKCNLPOJ2BBDTRRZLJEXWHC \
  | 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: c6d4a509ab7b93a084738c72b492f638b909e94090f7ed81f3d328ea00191fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94fbe70df1649c3d5b0731359edeb5aa92f3fb1644cab49ae02ce41c4ffccfe2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-22T00:05:20Z",
    "title_canon_sha256": "e9da3042ce235dfc9ec057c4b34b039ab5130d8f4dc55ad7a523750c85d20e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07108",
    "kind": "arxiv",
    "version": 3
  }
}