Pith Number

pith:ZDHUWMC2

pith:2026:ZDHUWMC2KPKHMENUNUNLANRLTV

not attested not anchored not stored refs pending

A prism hierarchy of learning regimes in large linear autoencoders

Dmitry Yarotsky, Eugene Golikov, Yaroslav Gusev

arxiv:2606.05335 v1 · 2026-06-03 · cs.LG · 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{ZDHUWMC2KPKHMENUNUNLANRLTV}

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	2026-06-05T00:13:54.574252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8cf4b305a53d47611b46d1ab0362b9d72ef1041cfb3b5551605f5e7c49d1bbf

Aliases

arxiv: 2606.05335 · arxiv_version: 2606.05335v1 · doi: 10.48550/arxiv.2606.05335 · pith_short_12: ZDHUWMC2KPKH · pith_short_16: ZDHUWMC2KPKHMENU · pith_short_8: ZDHUWMC2

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/ZDHUWMC2KPKHMENUNUNLANRLTV \
  | 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: c8cf4b305a53d47611b46d1ab0362b9d72ef1041cfb3b5551605f5e7c49d1bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54765d8ad2d5f0ab3b788ee1a905a839520820a5a0493e16f039b8f3734aa4c9",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T18:24:05Z",
    "title_canon_sha256": "697e71af63d195e7c293445913cad97447cf0b5ffbf42a047262de078bc3cf68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05335",
    "kind": "arxiv",
    "version": 1
  }
}