Pith Number

pith:A22SV6EJ

pith:2026:A22SV6EJYXX6WOON67YM3QLS5Y

not attested not anchored not stored refs pending

Theoretical Analysis of Sparse Optimization with Reparameterization, Weight Decay, and Adaptive Learning Rate

Huangyu Xu, Jiaye Teng, Jingqin Yang, Qianqian Xu

arxiv:2605.25134 v1 · 2026-05-24 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A22SV6EJYXX6WOON67YM3QLS5Y}

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	2026-05-26T02:04:19.646718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b52af889c5efeb39cdf7f0cdc172ee3453bb75a88a49e88e62dacddad2715b

Aliases

arxiv: 2605.25134 · arxiv_version: 2605.25134v1 · doi: 10.48550/arxiv.2605.25134 · pith_short_12: A22SV6EJYXX6 · pith_short_16: A22SV6EJYXX6WOON · pith_short_8: A22SV6EJ

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/A22SV6EJYXX6WOON67YM3QLS5Y \
  | 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: 06b52af889c5efeb39cdf7f0cdc172ee3453bb75a88a49e88e62dacddad2715b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b74d27f6d169f07753cbb189c612311e02905344d0827d3b2b00f59d1f246e0",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-24T15:25:17Z",
    "title_canon_sha256": "da4fc6e75a7e04eb54244d1c8ce6173ce84191994d3d065e9b486705b25c3181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25134",
    "kind": "arxiv",
    "version": 1
  }
}