Pith Number

pith:KQS3TFSK

pith:2019:KQS3TFSKQYINGVASE5PFWGVAXP

not attested not anchored not stored refs pending

Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using Total Path Variation

Andrew R. Barron, Jason M. Klusowski

arxiv:1902.00800 v2 · 2019-02-02 · stat.ML · 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{KQS3TFSKQYINGVASE5PFWGVAXP}

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	2026-05-17T23:54:33.733908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5425b9964a8610d35412275e5b1aa0bbe2d590fedce0b2619f150ce7a70bad9f

Aliases

arxiv: 1902.00800 · arxiv_version: 1902.00800v2 · doi: 10.48550/arxiv.1902.00800 · pith_short_12: KQS3TFSKQYIN · pith_short_16: KQS3TFSKQYINGVAS · pith_short_8: KQS3TFSK

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/KQS3TFSKQYINGVASE5PFWGVAXP \
  | 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: 5425b9964a8610d35412275e5b1aa0bbe2d590fedce0b2619f150ce7a70bad9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23020031a2be0170a9c33ad02aecee9bbec166859fa7fc2ee340bfe3b9f20b8a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-02-02T21:41:49Z",
    "title_canon_sha256": "71f933603dda2b8801f74591b1b62490d8de5a92f74febf3d3a31b48ea6d8a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00800",
    "kind": "arxiv",
    "version": 2
  }
}