Pith Number

pith:TLCXBJXT

pith:2018:TLCXBJXTIIJLYQJ3IXUBCIZZXO

not attested not anchored not stored refs pending

Preconditioner on Matrix Lie Group for SGD

Xi-Lin Li

arxiv:1809.10232 v2 · 2018-09-26 · 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{TLCXBJXTIIJLYQJ3IXUBCIZZXO}

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

Towards Efficient Optimizer Design for LLM via Structured Fisher Approximation with a Low-Rank Extension

Receipt and verification

First computed	2026-05-17T23:57:31.211774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac570a6f34212bc413b45e8112339bbb56d6542cf0712de2c4ae6d173e5af69

Aliases

arxiv: 1809.10232 · arxiv_version: 1809.10232v2 · doi: 10.48550/arxiv.1809.10232 · pith_short_12: TLCXBJXTIIJL · pith_short_16: TLCXBJXTIIJLYQJ3 · pith_short_8: TLCXBJXT

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/TLCXBJXTIIJLYQJ3IXUBCIZZXO \
  | 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: 9ac570a6f34212bc413b45e8112339bbb56d6542cf0712de2c4ae6d173e5af69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82b0da8d31eb24d6f5dcd45757bea5247ae637d6cf363a206997cfc35470f77",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-09-26T21:04:23Z",
    "title_canon_sha256": "9d942200b88453983a74df49ff012f911d005693eb71edc6ff7a9e7fc8d85b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10232",
    "kind": "arxiv",
    "version": 2
  }
}