Pith Number

pith:PAHBY4TS

pith:2024:PAHBY4TS3XEGJOAZ5RRAGXE5ZI

not attested not anchored not stored refs pending

Lipschitz minimization and the Goldstein modulus

Adrian S. Lewis, Siyu Kong

arxiv:2405.12655 v1 · 2024-05-21 · math.OC · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAHBY4TS3XEGJOAZ5RRAGXE5ZI}

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

Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization

Receipt and verification

First computed	2026-07-05T08:21:23.644077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780e1c7272ddc864b819ec62035c9dca1c550044633bb784f55a34fa81a79322

Aliases

arxiv: 2405.12655 · arxiv_version: 2405.12655v1 · doi: 10.48550/arxiv.2405.12655 · pith_short_12: PAHBY4TS3XEG · pith_short_16: PAHBY4TS3XEGJOAZ · pith_short_8: PAHBY4TS

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/PAHBY4TS3XEGJOAZ5RRAGXE5ZI \
  | 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: 780e1c7272ddc864b819ec62035c9dca1c550044633bb784f55a34fa81a79322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9994cc107e344510e7bb8c828593ce70f3260af7d801ecb11822bd2926a451e1",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-05-21T10:08:12Z",
    "title_canon_sha256": "1c95b46fc667016fd57dc5be6d7ef809de186cd457ea780375e6644cabfbf150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.12655",
    "kind": "arxiv",
    "version": 1
  }
}