Pith Number

pith:EYFTEP4S

pith:2026:EYFTEP4S2JMXNIXYQ6UF6PUAHJ

not attested not anchored not stored refs pending

Provable Learning of Random Hierarchy Models and Hierarchical Shallow-to-Deep Chaining

Florent Krzakala, Jason D. Lee, Yatin Dandi, Yunwei Ren

arxiv:2601.19756 v2 · 2026-01-27 · 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{EYFTEP4S2JMXNIXYQ6UF6PUAHJ}

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.

Cited by

3 papers in Pith

Learning Sparse Compositional Functions with Norm-Constrained Neural Networks

Learn from your own latents and not from tokens: A sample-complexity theory

Deep Learning as Neural Low-Degree Filtering: A Spectral Theory of Hierarchical Feature Learning

Receipt and verification

First computed	2026-06-23T02:13:20.313448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

260b323f92d25976a2f887a85f3e803a4a23fc13f79a33b7d475516dde1d37ed

Aliases

arxiv: 2601.19756 · arxiv_version: 2601.19756v2 · doi: 10.48550/arxiv.2601.19756 · pith_short_12: EYFTEP4S2JMX · pith_short_16: EYFTEP4S2JMXNIXY · pith_short_8: EYFTEP4S

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/EYFTEP4S2JMXNIXYQ6UF6PUAHJ \
  | 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: 260b323f92d25976a2f887a85f3e803a4a23fc13f79a33b7d475516dde1d37ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f889fee31554616b31936db97aade490d0786e4741571fd48da10030141e82",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-27T16:19:54Z",
    "title_canon_sha256": "8cbbfddbebecaea2af519519aff2cf1e5326ac73cfa9ee40c101236bd99485db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19756",
    "kind": "arxiv",
    "version": 2
  }
}