Pith Number

pith:CH6ZJZ5U

pith:2026:CH6ZJZ5UJ47JY3MPUFJSAYEJ4U

not attested not anchored not stored refs pending

Anytime Training with Schedule-Free Spectral Optimization

Anuj Apte, Junhyung Lyle Kim, Niraj Kumar, Pranav Deshpande, Shouvanik Chakrabarti

arxiv:2605.23061 v1 · 2026-05-21 · cs.LG · cs.AI · 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{CH6ZJZ5UJ47JY3MPUFJSAYEJ4U}

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	2026-05-25T02:01:36.674684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11fd94e7b44f3e9c6d8fa153206089e512c5bf50617f6bfa0f258e3bda1c17cb

Aliases

arxiv: 2605.23061 · arxiv_version: 2605.23061v1 · doi: 10.48550/arxiv.2605.23061 · pith_short_12: CH6ZJZ5UJ47J · pith_short_16: CH6ZJZ5UJ47JY3MP · pith_short_8: CH6ZJZ5U

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/CH6ZJZ5UJ47JY3MPUFJSAYEJ4U \
  | 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: 11fd94e7b44f3e9c6d8fa153206089e512c5bf50617f6bfa0f258e3bda1c17cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3f2a6eea2c536cc449973bd3272b487f625edf1e17ba402568d240dee2e900",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T21:50:22Z",
    "title_canon_sha256": "87ea54013ee79ac34916f16d6b015edec8b48324a995ccec5b7b79b92bd47bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23061",
    "kind": "arxiv",
    "version": 1
  }
}