Pith Number

pith:LPXYKGRJ

pith:2026:LPXYKGRJJVJML5LO4Q2LCWMLKU

not attested not anchored not stored refs pending

AdaGrad does not adapt to H\"older-smoothness for composite objectives

Massimiliano Pontil, Matia Bojovic, Saverio Salzo

arxiv:2606.29893 v1 · 2026-06-29 · math.OC · 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{LPXYKGRJJVJML5LO4Q2LCWMLKU}

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	2026-06-30T02:17:39.805370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bef851a294d52c5f56ee434b1598b5502056ac799e2d3ddd116d310713fb240

Aliases

arxiv: 2606.29893 · arxiv_version: 2606.29893v1 · doi: 10.48550/arxiv.2606.29893 · pith_short_12: LPXYKGRJJVJM · pith_short_16: LPXYKGRJJVJML5LO · pith_short_8: LPXYKGRJ

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/LPXYKGRJJVJML5LO4Q2LCWMLKU \
  | 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: 5bef851a294d52c5f56ee434b1598b5502056ac799e2d3ddd116d310713fb240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4c0345c44ff71ac0e45cd6d0f6f5cfecc43206d0f9e3588d951a2a8700842d",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-29T07:31:55Z",
    "title_canon_sha256": "dc7ebc9a2420fe99841b19c2369bbfe66efdf7bb702636bd162741502e697dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29893",
    "kind": "arxiv",
    "version": 1
  }
}