Pith Number

pith:VCLVS3LB

pith:2024:VCLVS3LBRDT3KWKXHVIGBRYYJR

not attested not anchored not stored refs pending

Second-Order Strong Optimality and Second-Order Duality for Nonsmooth Constrained Multiobjective Fractional Programming Problems

Debdas Ghosh, Jen-Chih Yao, Jiawei Chen, Luyu Liu, Yibing Lv

arxiv:2403.10093 v1 · 2024-03-15 · 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{VCLVS3LBRDT3KWKXHVIGBRYYJR}

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	2026-07-05T07:56:30.162402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a897596d6188e7b559573d5060c7184c7994c1b0aacd289c19b83dddca2bae45

Aliases

arxiv: 2403.10093 · arxiv_version: 2403.10093v1 · doi: 10.48550/arxiv.2403.10093 · pith_short_12: VCLVS3LBRDT3 · pith_short_16: VCLVS3LBRDT3KWKX · pith_short_8: VCLVS3LB

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/VCLVS3LBRDT3KWKXHVIGBRYYJR \
  | 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: a897596d6188e7b559573d5060c7184c7994c1b0aacd289c19b83dddca2bae45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51aba35e29c0428294443078c96ed30ded99b07a957b2e8f66785ccb0134c25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-03-15T08:12:57Z",
    "title_canon_sha256": "7c6d63ffcd1a95203b500fce338629fc6e814a0a541686a8c667a87c393ec1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.10093",
    "kind": "arxiv",
    "version": 1
  }
}