Pith Number

pith:QDC5J55P

pith:2026:QDC5J55PRQI5ZDFEO2R45RKZ2O

not attested not anchored not stored refs pending

Understanding Schedule-Free Methods in Nonconvex Optimization: Rate Guarantees and Escaping Saddles

Donghwan Kim, Jiseok Chae

arxiv:2607.09167 v1 · 2026-07-10 · 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{QDC5J55PRQI5ZDFEO2R45RKZ2O}

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	2026-07-13T01:18:48.050701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c5d4f7af8c11dc8ca476a3cec559d3a59c80fd216ae7d5e379e92bb06a3f64

Aliases

arxiv: 2607.09167 · arxiv_version: 2607.09167v1 · doi: 10.48550/arxiv.2607.09167 · pith_short_12: QDC5J55PRQI5 · pith_short_16: QDC5J55PRQI5ZDFE · pith_short_8: QDC5J55P

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/QDC5J55PRQI5ZDFEO2R45RKZ2O \
  | 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: 80c5d4f7af8c11dc8ca476a3cec559d3a59c80fd216ae7d5e379e92bb06a3f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1a38ebf802de9f7d61618350b975fea0eea83ca25e68f3469d1d329e84bea7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-10T07:52:01Z",
    "title_canon_sha256": "98a89b95172859b640c53693982bff6c5ab447bbe6c61e88bd046f7aad323393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09167",
    "kind": "arxiv",
    "version": 1
  }
}