Pith Number

pith:UCA3QLRU

pith:2016:UCA3QLRUI75PSW5VOHHDZAGRDF

not attested not anchored not stored refs pending

Deep Learning and Hierarchal Generative Models

Elchanan Mossel

arxiv:1612.09057 v4 · 2016-12-29 · 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{UCA3QLRUI75PSW5VOHHDZAGRDF}

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

2 papers in Pith

Self-supervised local learning rules learn the hidden hierarchical structure of high-dimensional data

Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model

Receipt and verification

First computed	2026-05-18T00:06:31.145622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a081b82e3447faf95bb571ce3c80d1196622bd41cfea9589c75d6518bf908752

Aliases

arxiv: 1612.09057 · arxiv_version: 1612.09057v4 · doi: 10.48550/arxiv.1612.09057 · pith_short_12: UCA3QLRUI75P · pith_short_16: UCA3QLRUI75PSW5V · pith_short_8: UCA3QLRU

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/UCA3QLRUI75PSW5VOHHDZAGRDF \
  | 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: a081b82e3447faf95bb571ce3c80d1196622bd41cfea9589c75d6518bf908752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7412a33c23ea9e9c7b65d374bc6e715c7ff014c2cc95cb37dfb8ec774e9f1735",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-12-29T07:26:26Z",
    "title_canon_sha256": "2793a2119f94863152c793c7dd9dce2339dd50e11ca39e828029a3faaf996aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09057",
    "kind": "arxiv",
    "version": 4
  }
}