Pith Number

pith:6LFUIQSK

pith:2020:6LFUIQSKRPIB4B4NCJM5BUSLRO

not attested not anchored not stored refs pending

Sketchy Empirical Natural Gradient Methods for Deep Learning

Dong Xu, Mengyun Chen, Minghan Yang, Pengxiang Xu, Zaiwen Wen

arxiv:2006.05924 v3 · 2020-06-10 · math.OC · 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{6LFUIQSKRPIB4B4NCJM5BUSLRO}

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

State-Space NTK Collapse Near Bifurcations

Receipt and verification

First computed	2026-07-05T02:26:12.140281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2cb44424a8bd01e078d1259d0d24b8bb8fce487e62489387add595911eda8e9

Aliases

arxiv: 2006.05924 · arxiv_version: 2006.05924v3 · doi: 10.48550/arxiv.2006.05924 · pith_short_12: 6LFUIQSKRPIB · pith_short_16: 6LFUIQSKRPIB4B4N · pith_short_8: 6LFUIQSK

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/6LFUIQSKRPIB4B4NCJM5BUSLRO \
  | 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: f2cb44424a8bd01e078d1259d0d24b8bb8fce487e62489387add595911eda8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933284273c6c9df1e1f99293be09cdb1ae2085db28406f29dac13955bf42b5ae",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-06-10T16:17:09Z",
    "title_canon_sha256": "8d217233d5537232dc1f43ddde06b91e8668504c598a72d4c6a66e94eed68837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05924",
    "kind": "arxiv",
    "version": 3
  }
}