Pith Number

pith:EV3GIDKM

pith:2025:EV3GIDKMPJMZRTMHREAP6XH6V2

not attested not anchored not stored refs pending

A Stochastic Gradient Descent Method for Globally Minimizing Nearly Convex Functions

Chenglong Bao, Liang Chen, Weizhi Shao

arxiv:2505.03222 v2 · 2025-05-06 · 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{EV3GIDKMPJMZRTMHREAP6XH6V2}

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	2026-07-05T11:48:03.172762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2576640d4c7a5998cd878900ff5cfeaea93f4f6cb9064d4848417bbd5869d580

Aliases

arxiv: 2505.03222 · arxiv_version: 2505.03222v2 · doi: 10.48550/arxiv.2505.03222 · pith_short_12: EV3GIDKMPJMZ · pith_short_16: EV3GIDKMPJMZRTMH · pith_short_8: EV3GIDKM

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/EV3GIDKMPJMZRTMHREAP6XH6V2 \
  | 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: 2576640d4c7a5998cd878900ff5cfeaea93f4f6cb9064d4848417bbd5869d580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e949c1e36a500cc71fb0f01adb85c23c670c475013401e5f23a01a1b2fbff2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-06T06:29:06Z",
    "title_canon_sha256": "af9b4b9623f6bba182f81cd47d0615f4e54938aed81948a288bf4a27f9d5ca1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03222",
    "kind": "arxiv",
    "version": 2
  }
}