Pith Number

pith:3URAVUCD

pith:2024:3URAVUCD7HQOXW7XIKSCD3VW4O

not attested not anchored not stored refs pending

Directional Smoothness and Gradient Methods: Convergence and Adaptivity

Aaron Defazio, Aaron Mishkin, Ahmed Khaled, Robert M. Gower, Yuanhao Wang

arxiv:2403.04081 v2 · 2024-03-06 · 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{3URAVUCD7HQOXW7XIKSCD3VW4O}

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.

Cited by

1 paper in Pith

First-ish Order Methods: Hessian-aware Scalings of Gradient Descent

Receipt and verification

First computed	2026-07-05T10:00:35.132514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd220ad043f9e0ebdbf742a421eeb6e3b1a7a9796cdad8fbc0783055f71f2441

Aliases

arxiv: 2403.04081 · arxiv_version: 2403.04081v2 · doi: 10.48550/arxiv.2403.04081 · pith_short_12: 3URAVUCD7HQO · pith_short_16: 3URAVUCD7HQOXW7X · pith_short_8: 3URAVUCD

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/3URAVUCD7HQOXW7XIKSCD3VW4O \
  | 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: dd220ad043f9e0ebdbf742a421eeb6e3b1a7a9796cdad8fbc0783055f71f2441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acac133b4d65d3da883e97e393ddb1ec7a3bc9b895b053d6f400dd1c7db593e3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-03-06T22:24:05Z",
    "title_canon_sha256": "5a1d4ca13b5eb88060b28be96c883559019b153d64820870239a2e76f219ee95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.04081",
    "kind": "arxiv",
    "version": 2
  }
}