Pith Number

pith:EVSUP3OZ

pith:2016:EVSUP3OZCDPLYDV3NIH2P2343I

not attested not anchored not stored refs pending

Strong Second-Order Karush--Kuhn--Tucker Optimality Conditions for Vector Optimization

Do Sang Kim, Nguyen Quang Huy, Nguyen Van Tuyen

arxiv:1612.00142 v2 · 2016-12-01 · 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{EVSUP3OZCDPLYDV3NIH2P2343I}

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	2026-05-18T00:45:01.399529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256547edd910debc0ebb6a0fa7eb7cda12d42fb13a1b97d2c17df238888e5d98

Aliases

arxiv: 1612.00142 · arxiv_version: 1612.00142v2 · doi: 10.48550/arxiv.1612.00142 · pith_short_12: EVSUP3OZCDPL · pith_short_16: EVSUP3OZCDPLYDV3 · pith_short_8: EVSUP3OZ

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/EVSUP3OZCDPLYDV3NIH2P2343I \
  | 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: 256547edd910debc0ebb6a0fa7eb7cda12d42fb13a1b97d2c17df238888e5d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf3f1393ee1deb776361f98b6d2a2240bc5ba7412d860e0badbd2f20e4ff487",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-01T04:57:11Z",
    "title_canon_sha256": "5741f7b18d2197836a99588c7232583fea03069be11c70a809371fc86ed120ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00142",
    "kind": "arxiv",
    "version": 2
  }
}