Pith Number

pith:V7SBIQNZ

pith:2016:V7SBIQNZJAPEFUXFO3KJJHTNBU

not attested not anchored not stored refs pending

An approximation method for the optimization of $p$-th moment of $\mathbb{R}^n$-valued random variable

Xiaojun Lu, Yanhua Wu

arxiv:1607.06557 v1 · 2016-07-22 · 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{V7SBIQNZJAPEFUXFO3KJJHTNBU}

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	2026-05-18T01:10:35.713605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe41441b9481e42d2e576d4949e6d0d214ceefbd92bb567ede7ebe645703215

Aliases

arxiv: 1607.06557 · arxiv_version: 1607.06557v1 · doi: 10.48550/arxiv.1607.06557 · pith_short_12: V7SBIQNZJAPE · pith_short_16: V7SBIQNZJAPEFUXF · pith_short_8: V7SBIQNZ

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/V7SBIQNZJAPEFUXFO3KJJHTNBU \
  | 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: afe41441b9481e42d2e576d4949e6d0d214ceefbd92bb567ede7ebe645703215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8933089a7ba5bc4f1958fcc3e72e2ffaa6f0cff09fb8305f65b75531f349e72e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-22T04:26:28Z",
    "title_canon_sha256": "84ba73b18ba12fbd7f7d603ee02afb3255ce705d3ca5d3bb3d746e96924e4c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06557",
    "kind": "arxiv",
    "version": 1
  }
}