Pith Number

pith:VE7P254B

pith:2024:VE7P254BASJF5O6NOGNDU5GTNO

not attested not anchored not stored refs pending

New second-order optimality conditions for directional optimality of a general set-constrained optimization problem

Binbin Zhang, Jane Ye, Wei Ouyang

arxiv:2404.17696 v2 · 2024-04-26 · 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{VE7P254BASJF5O6NOGNDU5GTNO}

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	2026-07-05T10:22:45.740842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93efd778104925ebbcd719a3a74d36b8a215e2d50fe3b937ad55f799b220439

Aliases

arxiv: 2404.17696 · arxiv_version: 2404.17696v2 · doi: 10.48550/arxiv.2404.17696 · pith_short_12: VE7P254BASJF · pith_short_16: VE7P254BASJF5O6N · pith_short_8: VE7P254B

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/VE7P254BASJF5O6NOGNDU5GTNO \
  | 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: a93efd778104925ebbcd719a3a74d36b8a215e2d50fe3b937ad55f799b220439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0cdf4475e2c1789aaf6e928c85346622d87388cf88101699e925d65af65ee7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-04-26T20:53:36Z",
    "title_canon_sha256": "4b1f6c688c0dfa31df3e03eef8dfdb676afccf8980429cfe6e22ad8ea3e9fc42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.17696",
    "kind": "arxiv",
    "version": 2
  }
}