Pith Number

pith:NLCNZSKR

pith:2026:NLCNZSKRTSDTTKSMYEMEENXCBK

not attested not anchored not stored refs pending

WSqD: A Horizon-Free Learning Rate Schedule for Large Model Training

Jianhao Ma, Yuxin Chen

arxiv:2607.10959 v1 · 2026-07-12 · cs.LG · 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{NLCNZSKRTSDTTKSMYEMEENXCBK}

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	2026-07-14T01:21:49.559714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac4dcc9519c8739aa4cc1184236e20ab0a9402700da374d95f4fabf1c9b6899

Aliases

arxiv: 2607.10959 · arxiv_version: 2607.10959v1 · doi: 10.48550/arxiv.2607.10959 · pith_short_12: NLCNZSKRTSDT · pith_short_16: NLCNZSKRTSDTTKSM · pith_short_8: NLCNZSKR

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/NLCNZSKRTSDTTKSMYEMEENXCBK \
  | 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: 6ac4dcc9519c8739aa4cc1184236e20ab0a9402700da374d95f4fabf1c9b6899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8942e975e85201caac515167276293d464b70b3f8651e57111d94c93666ad24d",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-12T23:24:42Z",
    "title_canon_sha256": "834d785cdcde1bd218564e36f73fabd1c1f767618fabef73a6a3e800a5307dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10959",
    "kind": "arxiv",
    "version": 1
  }
}