Pith Number

pith:TAP5RIDS

pith:2021:TAP5RIDSYCFKL6DBMLMASSG45Z

not attested not anchored not stored refs pending

Deep Residual Networks Learn the Geodesic Curve in the Wasserstein Space

Kuo Gai, Shihua Zhang

arxiv:2102.09235 v3 · 2021-02-18 · 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{TAP5RIDSYCFKL6DBMLMASSG45Z}

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

1 paper in Pith

Gradient Smoothing: Coupling Layer-wise Updates for Improved Optimization

Receipt and verification

First computed	2026-06-29T01:15:01.536932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981fd8a072c08aa5f86162d80948dcee6c41e2101976a0866a6603a8bf391891

Aliases

arxiv: 2102.09235 · arxiv_version: 2102.09235v3 · doi: 10.48550/arxiv.2102.09235 · pith_short_12: TAP5RIDSYCFK · pith_short_16: TAP5RIDSYCFKL6DB · pith_short_8: TAP5RIDS

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/TAP5RIDSYCFKL6DBMLMASSG45Z \
  | 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: 981fd8a072c08aa5f86162d80948dcee6c41e2101976a0866a6603a8bf391891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17862507dac2ebc93b2055944416b973e02eef9d111549aaba567b65ebb16819",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-18T09:37:49Z",
    "title_canon_sha256": "ba6ed1322b0e5283ef156c049cabd16dc1684bf5e1e7472258a397d7a7aeae24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09235",
    "kind": "arxiv",
    "version": 3
  }
}