Pith Number

pith:3UJDWOE6

pith:2026:3UJDWOE6E2KFYDBNDAO6B34DFQ

not attested not anchored not stored refs pending

Rethinking Bregman Divergences in Kronecker-Factored Optimizers

Bing Liu, Chengcheng Zhao, Wenjie Zhou

arxiv:2606.00542 v1 · 2026-05-30 · 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{3UJDWOE6E2KFYDBNDAO6B34DFQ}

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.

Receipt and verification

First computed	2026-06-02T01:03:57.718625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd123b389e26945c0c2d181de0ef832c0a31dcb20ff55866d72bb847d10fabfd

Aliases

arxiv: 2606.00542 · arxiv_version: 2606.00542v1 · doi: 10.48550/arxiv.2606.00542 · pith_short_12: 3UJDWOE6E2KF · pith_short_16: 3UJDWOE6E2KFYDBN · pith_short_8: 3UJDWOE6

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/3UJDWOE6E2KFYDBNDAO6B34DFQ \
  | 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: dd123b389e26945c0c2d181de0ef832c0a31dcb20ff55866d72bb847d10fabfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57325058cbcb14f41315f35adc15ef6884704b0e9379646bc12022fba86341b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T05:17:48Z",
    "title_canon_sha256": "0d7218465bc2189c9a79d530afd586bb9345bed3d2c977c56e9b3241beaca6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00542",
    "kind": "arxiv",
    "version": 1
  }
}