Pith Number

pith:XYKQSRSC

pith:2026:XYKQSRSCHN35A7MRIDKQ2IFRMS

not attested not anchored not stored refs pending

Tight Sample Complexity of Transformers

Chenxiao Yang, Nathan Srebro, Zhiyuan Li

arxiv:2606.09731 v1 · 2026-06-08 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYKQSRSCHN35A7MRIDKQ2IFRMS}

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	2026-06-09T02:09:06.513607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be150946423b77d07d9140d50d20b1649764bd8c7fa2f2d3973bcce90f899286

Aliases

arxiv: 2606.09731 · arxiv_version: 2606.09731v1 · doi: 10.48550/arxiv.2606.09731 · pith_short_12: XYKQSRSCHN35 · pith_short_16: XYKQSRSCHN35A7MR · pith_short_8: XYKQSRSC

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/XYKQSRSCHN35A7MRIDKQ2IFRMS \
  | 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: be150946423b77d07d9140d50d20b1649764bd8c7fa2f2d3973bcce90f899286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad8aa3efad03b92d44dd1cbd591cb114ea43df7f9a576399f7826153f65948d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T16:56:24Z",
    "title_canon_sha256": "5674a29ef33c8576b13ab8c21c6fd8b7e03bd4d2a668fb041b43b5aa9b12f803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09731",
    "kind": "arxiv",
    "version": 1
  }
}