Pith Number

pith:EXA7RSNM

pith:2026:EXA7RSNMKXCFSGMK7AKK654RMA

not attested not anchored not stored refs pending

Can Adaptive Gradient Methods Converge under Heavy-Tailed Noise? A Case Study of AdaGrad

Zijian Liu

arxiv:2605.18694 v1 · 2026-05-18 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXA7RSNMKXCFSGMK7AKK654RMA}

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	2026-05-20T00:06:15.419472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c1f8c9ac55c459198af814af7791602fcfe8d8feb89e7dc6b46f4a46c7cfe5

Aliases

arxiv: 2605.18694 · arxiv_version: 2605.18694v1 · doi: 10.48550/arxiv.2605.18694 · pith_short_12: EXA7RSNMKXCF · pith_short_16: EXA7RSNMKXCFSGMK · pith_short_8: EXA7RSNM

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/EXA7RSNMKXCFSGMK7AKK654RMA \
  | 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: 25c1f8c9ac55c459198af814af7791602fcfe8d8feb89e7dc6b46f4a46c7cfe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d11a8679fb220d64409b8c6390d03e4fb52b64b002dfbe5759cd879e9188753",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-18T17:30:15Z",
    "title_canon_sha256": "852e2397aad318b10a1b88e86207caf685195447248fc7e88593e68e5d6d3571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18694",
    "kind": "arxiv",
    "version": 1
  }
}