Pith Number

pith:PCKPYJGP

pith:2017:PCKPYJGPVB5LLP2PCYX7ZRCLQT

not attested not anchored not stored refs pending

Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions

Ching-Feng Wen, Jen-Chih Yao, Nguyen Van Tuyen, Yi-Bin Xiao

arxiv:1710.03989 v4 · 2017-10-11 · 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{PCKPYJGPVB5LLP2PCYX7ZRCLQT}

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	2026-05-17T23:46:30.963984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7894fc24cfa87ab5bf4f162ffcc44b84f54ed45e9af62589a1c1fc277b2b46ef

Aliases

arxiv: 1710.03989 · arxiv_version: 1710.03989v4 · doi: 10.48550/arxiv.1710.03989 · pith_short_12: PCKPYJGPVB5L · pith_short_16: PCKPYJGPVB5LLP2P · pith_short_8: PCKPYJGP

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/PCKPYJGPVB5LLP2PCYX7ZRCLQT \
  | 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: 7894fc24cfa87ab5bf4f162ffcc44b84f54ed45e9af62589a1c1fc277b2b46ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c9e02e1808664fc93c2ce75d2efbcea6b96249b9e3eb52cb63eb9954a445d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-11T10:17:11Z",
    "title_canon_sha256": "83b1cbe2b28274755f4d7e6b3244035c971c75379a258bacfe7b6d92fb3ed4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03989",
    "kind": "arxiv",
    "version": 4
  }
}