Pith Number

pith:YAVOHVJ2

pith:2022:YAVOHVJ22IFF7RSQDPLMGGXEIC

not attested not anchored not stored refs pending

On Almost Sure Convergence Rates of Stochastic Gradient Methods

Jun Liu, Ye Yuan

arxiv:2202.04295 v2 · 2022-02-09 · cs.LG · 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{YAVOHVJ22IFF7RSQDPLMGGXEIC}

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	2026-07-05T04:38:47.711960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c02ae3d53ad20a5fc6501bd6c31ae4408f04fd017a5f026149d92d742d8c749f

Aliases

arxiv: 2202.04295 · arxiv_version: 2202.04295v2 · doi: 10.48550/arxiv.2202.04295 · pith_short_12: YAVOHVJ22IFF · pith_short_16: YAVOHVJ22IFF7RSQ · pith_short_8: YAVOHVJ2

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/YAVOHVJ22IFF7RSQDPLMGGXEIC \
  | 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: c02ae3d53ad20a5fc6501bd6c31ae4408f04fd017a5f026149d92d742d8c749f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c919f64025f01cf06386c8c9e3cc3597667d42a0d95fd91312723b39b611619",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-02-09T06:05:30Z",
    "title_canon_sha256": "9e2b68e4107d3d5862a32f660dfac80205b326c14d20407ed9e5cb7d95a1e858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04295",
    "kind": "arxiv",
    "version": 2
  }
}