Pith Number

pith:ZGCQEGVN

pith:2019:ZGCQEGVNFNBUBT4ULFUMAETJTW

not attested not anchored not stored refs pending

Limitations of the Empirical Fisher Approximation for Natural Gradient Descent

Frederik Kunstner, Lukas Balles, Philipp Hennig

arxiv:1905.12558 v3 · 2019-05-29 · 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{ZGCQEGVNFNBUBT4ULFUMAETJTW}

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

3 papers in Pith

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity

Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale

Dead Directions: Geometric Singular Learning

Receipt and verification

First computed	2026-07-05T01:08:46.502396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c985021aad2b4340cf945968c012699d8b6d1ce958b14841a0e41ea507859f9e

Aliases

arxiv: 1905.12558 · arxiv_version: 1905.12558v3 · doi: 10.48550/arxiv.1905.12558 · pith_short_12: ZGCQEGVNFNBU · pith_short_16: ZGCQEGVNFNBUBT4U · pith_short_8: ZGCQEGVN

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/ZGCQEGVNFNBUBT4ULFUMAETJTW \
  | 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: c985021aad2b4340cf945968c012699d8b6d1ce958b14841a0e41ea507859f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67283b5fdba7c3e99803e3abf9923ab74a61f5626b811f229112b4f7b843092",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-29T16:11:00Z",
    "title_canon_sha256": "ab6cce0d964710cc12bc9f52e7a3480bb58b3a6aa54f33a7becb1e6c8ce48618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12558",
    "kind": "arxiv",
    "version": 3
  }
}