Pith Number

pith:ORG2DZ5O

pith:2026:ORG2DZ5OLIJ5KGWEJEOSQ6SFX4

not attested not anchored not stored refs pending

Optimal Representation Size: High-Dimensional Analysis of Pretraining and Linear Probing

Andrew Saxe, Cl\'ementine Domin\'e, Marco Mondelli, Rachel Swanson, Valentina Njaradi

arxiv:2605.20105 v1 · 2026-05-19 · 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{ORG2DZ5OLIJ5KGWEJEOSQ6SFX4}

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	2026-05-20T02:06:02.263416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

744da1e7ae5a13d51ac4491d287a45bf0950dadfca8e1d130c00345f2ec3d4c7

Aliases

arxiv: 2605.20105 · arxiv_version: 2605.20105v1 · doi: 10.48550/arxiv.2605.20105 · pith_short_12: ORG2DZ5OLIJ5 · pith_short_16: ORG2DZ5OLIJ5KGWE · pith_short_8: ORG2DZ5O

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/ORG2DZ5OLIJ5KGWEJEOSQ6SFX4 \
  | 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: 744da1e7ae5a13d51ac4491d287a45bf0950dadfca8e1d130c00345f2ec3d4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e5a1838346ad3f0ba00cacfb5065786814ca395d78fdeb64b5e077c57160f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T16:56:56Z",
    "title_canon_sha256": "5c8f6335628d93922b09fc08ebe5b9b2a12386efe4e629fb7b889a4aaf54d6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20105",
    "kind": "arxiv",
    "version": 1
  }
}