Pith Number

pith:A3H6MP7G

pith:2026:A3H6MP7GF4W4NDTBUPNHJKMXPJ

not attested not anchored not stored refs pending

ScheduleFree+: Scaling Learning-Rate-Free & Schedule-Free Learning to Large Language Models

Aaron Defazio

arxiv:2605.19095 v1 · 2026-05-18 · cs.LG · cs.AI · 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{A3H6MP7GF4W4NDTBUPNHJKMXPJ}

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	2026-05-20T01:05:26.952911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06cfe63fe62f2dc68e61a3da74a9977a5e754b7277f44e040df6c4ae2e04aac0

Aliases

arxiv: 2605.19095 · arxiv_version: 2605.19095v1 · doi: 10.48550/arxiv.2605.19095 · pith_short_12: A3H6MP7GF4W4 · pith_short_16: A3H6MP7GF4W4NDTB · pith_short_8: A3H6MP7G

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/A3H6MP7GF4W4NDTBUPNHJKMXPJ \
  | 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: 06cfe63fe62f2dc68e61a3da74a9977a5e754b7277f44e040df6c4ae2e04aac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8007dfcaadf5ad9875bd2cb32691aa53d02df876e6d9f25c423bd854192d5d",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T20:31:49Z",
    "title_canon_sha256": "e0a40602816848557d7ccd279a880baa24dcafa7eb7ea583f1c283ec5509d91b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19095",
    "kind": "arxiv",
    "version": 1
  }
}