Pith Number

pith:J5JP2U65

pith:2026:J5JP2U65ICA47L5ECIS7VFDLI6

not attested not anchored not stored refs pending

A Gaussian smoothing-based zeroth-order method for Goldstein second-order stationarity

Hao Zhang, Liaoyuan Zeng, Man-Chung Yue, Ming Lei, Ting Kei Pong

arxiv:2607.21258 v1 · 2026-07-23 · 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{J5JP2U65ICA47L5ECIS7VFDLI6}

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	2026-07-24T01:24:22.424320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f52fd53dd4081cfafa41225fa946b4786a698a09adacf43067ee76a0cd13669

Aliases

arxiv: 2607.21258 · arxiv_version: 2607.21258v1 · doi: 10.48550/arxiv.2607.21258 · pith_short_12: J5JP2U65ICA4 · pith_short_16: J5JP2U65ICA47L5E · pith_short_8: J5JP2U65

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/J5JP2U65ICA47L5ECIS7VFDLI6 \
  | 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: 4f52fd53dd4081cfafa41225fa946b4786a698a09adacf43067ee76a0cd13669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535befdf20c36d21863c6e526670a7469b5d1025134a195e531306ba9d06aafd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-23T12:30:39Z",
    "title_canon_sha256": "97a52f88677804ac198c2e06c24b2fd97432cc923f649dc8e9f17c10e9efc86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21258",
    "kind": "arxiv",
    "version": 1
  }
}