Pith Number

pith:S664DPNJ

pith:2022:S664DPNJ6SOBDODCJ7W7AEMZCU

not attested not anchored not stored refs pending

Provable Adaptivity of Adam under Non-uniform Smoothness

Bohan Wang, Huishuai Zhang, Qi Meng, Ruoyu Sun, Tie-Yan Liu, Wei Chen, Yushun Zhang, Zhi-Ming Ma, Zhi-Quan Luo

arxiv:2208.09900 v2 · 2022-08-21 · 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{S664DPNJ6SOBDODCJ7W7AEMZCU}

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	2026-07-05T08:35:33.593278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bdc1bda9f49c11b8624fedf01199151adfe4d873cdc957f667778d63ebbabd

Aliases

arxiv: 2208.09900 · arxiv_version: 2208.09900v2 · doi: 10.48550/arxiv.2208.09900 · pith_short_12: S664DPNJ6SOB · pith_short_16: S664DPNJ6SOBDODC · pith_short_8: S664DPNJ

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/S664DPNJ6SOBDODCJ7W7AEMZCU \
  | 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: 97bdc1bda9f49c11b8624fedf01199151adfe4d873cdc957f667778d63ebbabd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4cce9f47bc748bd124ab2dfa2a0ee44d43ac6733f8e621e0da042389de1a444",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-08-21T14:57:47Z",
    "title_canon_sha256": "530bde5ffbb1623a2b89a9b48a1702e92e35cdbeb1ce7865d3bdd47c2c16c71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09900",
    "kind": "arxiv",
    "version": 2
  }
}