Pith Number

pith:TP5D27BW

pith:2019:TP5D27BWHZZWJD4K2AETNS6XJL

not attested not anchored not stored refs pending

A Priori Estimates of the Population Risk for Residual Networks

Chao Ma, Qingcan Wang, Weinan E

arxiv:1903.02154 v2 · 2019-03-06 · 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{TP5D27BWHZZWJD4K2AETNS6XJL}

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	2026-05-17T23:44:37.656928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfa3d7c363e73648f8ad00936cbd74ad6afa9c9b83ac05cf9805416d6ba315c

Aliases

arxiv: 1903.02154 · arxiv_version: 1903.02154v2 · doi: 10.48550/arxiv.1903.02154 · pith_short_12: TP5D27BWHZZW · pith_short_16: TP5D27BWHZZWJD4K · pith_short_8: TP5D27BW

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/TP5D27BWHZZWJD4K2AETNS6XJL \
  | 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: 9bfa3d7c363e73648f8ad00936cbd74ad6afa9c9b83ac05cf9805416d6ba315c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac1258df64c94ed351518312fa4d43ec12c55d5681de1bf72c08e3032436d8e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-03-06T03:35:30Z",
    "title_canon_sha256": "a34654fa9d76a0526be1fd1463a6cbe736458d6ff3641100b4aaabacd2cdee66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02154",
    "kind": "arxiv",
    "version": 2
  }
}