Pith Number

pith:AEMFB3PL

pith:2024:AEMFB3PLCRT64HKM54OXTFGXV3

not attested not anchored not stored refs pending

Second-Order Necessary Conditions, Constraint Qualifications and Exact Penalty for Mathematical Programs with Switching Constraints

Jiawei Chen, Kequan Zhao, Luyu Liu, Yibing Lv

arxiv:2407.17285 v2 · 2024-07-24 · 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{AEMFB3PLCRT64HKM54OXTFGXV3}

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.

Cited by

1 paper in Pith

Radial Epiderivative Based Fritz John and KKT Conditions in Nonsmooth Nonconvex Optimization

Receipt and verification

First computed	2026-07-05T08:48:46.325600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011850edeb1467ee1d4cef1d7994d7aed2f8016a82ffdf310ad0e1a80b588fbc

Aliases

arxiv: 2407.17285 · arxiv_version: 2407.17285v2 · doi: 10.48550/arxiv.2407.17285 · pith_short_12: AEMFB3PLCRT6 · pith_short_16: AEMFB3PLCRT64HKM · pith_short_8: AEMFB3PL

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/AEMFB3PLCRT64HKM54OXTFGXV3 \
  | 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: 011850edeb1467ee1d4cef1d7994d7aed2f8016a82ffdf310ad0e1a80b588fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9382c5d1f241bda0d4b57866715c0941df2dc8d403d8d697f957e9358313e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-07-24T13:51:52Z",
    "title_canon_sha256": "99ecbe1357ee4e2af41d94c3ddab93e9580e61885d035b67056ab9d25a232341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17285",
    "kind": "arxiv",
    "version": 2
  }
}