Pith Number

pith:6QAXISV7

pith:2026:6QAXISV77VWZBRL5PSR3U5TKZX

not attested not anchored not stored refs pending

Generalization Bounds on Optimal Control for Transformer Training and Wasserstein Distributional Robustness

Ka\u{g}an Akman, Naci Saldi, Serdar Y\"uksel

arxiv:2607.27975 v1 · 2026-07-30 · 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{6QAXISV77VWZBRL5PSR3U5TKZX}

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	2026-07-31T01:35:09.796210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f401744abffd6d90c57d7ca3ba766acdd0071675b46e4f4b20c5c9929aa23f5b

Aliases

arxiv: 2607.27975 · arxiv_version: 2607.27975v1 · doi: 10.48550/arxiv.2607.27975 · pith_short_12: 6QAXISV77VWZ · pith_short_16: 6QAXISV77VWZBRL5 · pith_short_8: 6QAXISV7

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/6QAXISV77VWZBRL5PSR3U5TKZX \
  | 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: f401744abffd6d90c57d7ca3ba766acdd0071675b46e4f4b20c5c9929aa23f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01822247087143acd871669041fcf921e06aa999521e7429f4de7edda57b027",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-30T10:22:38Z",
    "title_canon_sha256": "d8702611bb09f4aa27ddfce4ad8835600a797de364dc139cbbc480e63d04a911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27975",
    "kind": "arxiv",
    "version": 1
  }
}