Pith Number

pith:TIYD7XZP

pith:2025:TIYD7XZPQ4CKN3XF5D2HKGTSX2

not attested not anchored not stored refs pending

Breaking a Logarithmic Barrier in the Stopping Time Convergence Rate of Stochastic First-order Methods

Tianyu Wang, Yasong Feng, Yifan Jiang, Zhiliang Ying

arxiv:2506.23335 v2 · 2025-06-29 · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIYD7XZPQ4CKN3XF5D2HKGTSX2}

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	2026-07-05T11:38:08.346797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a303fdf2f8704a6eee5e8f4751a72bebab0cb4c7e9fe820b6e00ad800acf4be

Aliases

arxiv: 2506.23335 · arxiv_version: 2506.23335v2 · doi: 10.48550/arxiv.2506.23335 · pith_short_12: TIYD7XZPQ4CK · pith_short_16: TIYD7XZPQ4CKN3XF · pith_short_8: TIYD7XZP

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/TIYD7XZPQ4CKN3XF5D2HKGTSX2 \
  | 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: 9a303fdf2f8704a6eee5e8f4751a72bebab0cb4c7e9fe820b6e00ad800acf4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb4697ad06842e743daf0a02eed6b91ad5319896ed83606450e1b70bcb22f98",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-29T17:09:58Z",
    "title_canon_sha256": "5b134b9c3e8c1f48686d7ac51c0128e58ec84197e4a9f0af1e727ae7b428e829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23335",
    "kind": "arxiv",
    "version": 2
  }
}