Pith Number

pith:ODNREPU4

pith:2016:ODNREPU4UEOJFIH5PKC4BYTSPU

not attested not anchored not stored refs pending

On the Expressive Power of Deep Neural Networks

Ben Poole, Jascha Sohl-Dickstein, Jon Kleinberg, Maithra Raghu, Surya Ganguli

arxiv:1606.05336 v6 · 2016-06-16 · stat.ML · cs.AI · cs.LG

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\usepackage{pith}
\pithnumber{ODNREPU4UEOJFIH5PKC4BYTSPU}

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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

5 papers in Pith

Estimation of High Dimensional Bounded Discrete Graphical Models via Regularized Generalized Score Matching

A Theory on Flow Matching with Neural Networks

Learning the Universe: Posterior Reliability of Neural Generative Models in High-Dimensional Field-Level Inference of Cosmic Initial Conditions

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models

Scale-Aware Adversarial Analysis: A Diagnostic for Generative AI in Multiscale Complex Systems

Receipt and verification

First computed	2026-05-18T00:42:12.999296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70db123e9ca11c92a0fd7a85c0e2727d3e7cc5b7b92dd08f18c4d5b105b0cec1

Aliases

arxiv: 1606.05336 · arxiv_version: 1606.05336v6 · doi: 10.48550/arxiv.1606.05336 · pith_short_12: ODNREPU4UEOJ · pith_short_16: ODNREPU4UEOJFIH5 · pith_short_8: ODNREPU4

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/ODNREPU4UEOJFIH5PKC4BYTSPU \
  | 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: 70db123e9ca11c92a0fd7a85c0e2727d3e7cc5b7b92dd08f18c4d5b105b0cec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b932928e15174b7dd90e42a46188fa16c1e927a981344cda765fe135be3330",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-06-16T19:55:29Z",
    "title_canon_sha256": "982197b302ef837254a9bafa3a66326aaec9a13cdffa9bef1d63b5bd353d3df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05336",
    "kind": "arxiv",
    "version": 6
  }
}