Pith Number

pith:XAQAI6CN

pith:2026:XAQAI6CNTRWAIXDKW6HR3WN6S5

not attested not anchored not stored refs pending

Exploiting weight-space symmetries for approximating curvature

Alberto Bernacchia, Artem Artemev, Benjamin M. Boyd, Felix Dangel, Guillaume Hennequin, Rui Xia, Youjing Yu

arxiv:2606.00442 v1 · 2026-05-30 · cs.LG · 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{XAQAI6CNTRWAIXDKW6HR3WN6S5}

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	2026-06-02T01:03:54.744439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82004784d9c6c045c6ab78f1dd9be97507fa8f7539890805815f46983102ac8

Aliases

arxiv: 2606.00442 · arxiv_version: 2606.00442v1 · doi: 10.48550/arxiv.2606.00442 · pith_short_12: XAQAI6CNTRWA · pith_short_16: XAQAI6CNTRWAIXDK · pith_short_8: XAQAI6CN

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/XAQAI6CNTRWAIXDKW6HR3WN6S5 \
  | 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: b82004784d9c6c045c6ab78f1dd9be97507fa8f7539890805815f46983102ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21abaf23b35245e2ac4788d5528d9b92760db2aed66f2f8b92d4dcb089fdd6b8",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T00:17:36Z",
    "title_canon_sha256": "8fd876f22ce390186c808e41650ac1562aa4469005d29cecbb9faab170c7cc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00442",
    "kind": "arxiv",
    "version": 1
  }
}