Pith Number

pith:PDLUECTY

pith:2021:PDLUECTYBPSW56TVO32X45YDMI

not attested not anchored not stored refs pending

Structured second-order methods via natural gradient descent

Frank Nielsen, Mark Schmidt, Mohammad Emtiyaz Khan, Wu Lin

arxiv:2107.10884 v3 · 2021-07-22 · 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{PDLUECTYBPSW56TVO32X45YDMI}

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

Optimization Guarantees for Square-Root Natural-Gradient Variational Inference

Receipt and verification

First computed	2026-07-05T03:58:16.755170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d7420a780be56efa7576f57e770362236f91f946ae062715fa5b2998aa42ee

Aliases

arxiv: 2107.10884 · arxiv_version: 2107.10884v3 · doi: 10.48550/arxiv.2107.10884 · pith_short_12: PDLUECTYBPSW · pith_short_16: PDLUECTYBPSW56TV · pith_short_8: PDLUECTY

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/PDLUECTYBPSW56TVO32X45YDMI \
  | 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: 78d7420a780be56efa7576f57e770362236f91f946ae062715fa5b2998aa42ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f60a92c2afa4618d82ae8ac8cc38c02664829b2de7d2d85b482274cab7fe7bf",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-07-22T19:03:53Z",
    "title_canon_sha256": "5bd168fc5625701e2292192268a118822abcbf07facd96d859f0a168748ba7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10884",
    "kind": "arxiv",
    "version": 3
  }
}