Pith Number

pith:YWZ3FQ73

pith:2023:YWZ3FQ73RO25DGCLVJXCQMMAC5

not attested not anchored not stored refs pending

Local Minimizers of Nonconvex Functions in Banach Spaces via Moreau Envelopes

Boris S. Mordukhovich, Pham Duy Khanh, Vo Thanh Phat, Vu Vinh Huy Khoa

arxiv:2311.18586 v1 · 2023-11-30 · 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{YWZ3FQ73RO25DGCLVJXCQMMAC5}

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	2026-07-05T07:18:43.943356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b3b2c3fb8bb5d1984baa6e283180175a4fe973d78c667aa0301a1fee1b2604

Aliases

arxiv: 2311.18586 · arxiv_version: 2311.18586v1 · doi: 10.48550/arxiv.2311.18586 · pith_short_12: YWZ3FQ73RO25 · pith_short_16: YWZ3FQ73RO25DGCL · pith_short_8: YWZ3FQ73

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/YWZ3FQ73RO25DGCLVJXCQMMAC5 \
  | 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: c5b3b2c3fb8bb5d1984baa6e283180175a4fe973d78c667aa0301a1fee1b2604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14340f0f063e46b57c1d605bed1940726e82ee2087a521b1ec4389b3834ea5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-11-30T14:26:30Z",
    "title_canon_sha256": "01df59d6649b4ba86d630f8214167be750d1900e9cc68bc223ee42ed4c0cc39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18586",
    "kind": "arxiv",
    "version": 1
  }
}