Pith Number

pith:WWH5LXJ7

pith:2022:WWH5LXJ7DLZJCWYKUWDWA4KDTZ

not attested not anchored not stored refs pending

Tight Convergence Rate Bounds for Optimization Under Power Law Spectral Conditions

Dmitry Yarotsky, Maksim Velikanov

arxiv:2202.00992 v3 · 2022-02-02 · math.OC · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWH5LXJ7DLZJCWYKUWDWA4KDTZ}

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	2026-07-05T07:59:46.234349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58fd5dd3f1af2915b0aa5876071439e47290d44d675e2d19db20b90a420c91c

Aliases

arxiv: 2202.00992 · arxiv_version: 2202.00992v3 · doi: 10.48550/arxiv.2202.00992 · pith_short_12: WWH5LXJ7DLZJ · pith_short_16: WWH5LXJ7DLZJCWYK · pith_short_8: WWH5LXJ7

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/WWH5LXJ7DLZJCWYKUWDWA4KDTZ \
  | 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: b58fd5dd3f1af2915b0aa5876071439e47290d44d675e2d19db20b90a420c91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1388af3adbee2f3d54ffb0b521d1da2509684b7908c1e94bca5931d8c963da82",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-02-02T12:24:03Z",
    "title_canon_sha256": "fec0b3ad41b3a088f1d0a6c8b94e0da5b9db1ce6b1c593e62fdd14bdd4492db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00992",
    "kind": "arxiv",
    "version": 3
  }
}