Pith Number

pith:XFNC4AWY

pith:2026:XFNC4AWYWIB6LJOZFEMT5K6WVE

not attested not anchored not stored refs pending

Reparametrizing Shampoo and SOAP for Subspace Basis Updates and BFloat16 Storage

Alan Milligan, Felix Dangel, Simon Lacoste-Julien, Wu Lin, Zikun Xu

arxiv:2605.26327 v1 · 2026-05-25 · 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{XFNC4AWYWIB6LJOZFEMT5K6WVE}

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	2026-05-27T01:05:12.178426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95a2e02d8b203e5a5d929193eabd6a9364cad032ed8eb0cd5f29893a366775e

Aliases

arxiv: 2605.26327 · arxiv_version: 2605.26327v1 · doi: 10.48550/arxiv.2605.26327 · pith_short_12: XFNC4AWYWIB6 · pith_short_16: XFNC4AWYWIB6LJOZ · pith_short_8: XFNC4AWY

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/XFNC4AWYWIB6LJOZFEMT5K6WVE \
  | 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: b95a2e02d8b203e5a5d929193eabd6a9364cad032ed8eb0cd5f29893a366775e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d68586a0ea2c07197b3c61ed4a29ae62980eb5a346a0cb97382f4bd7b124719",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-25T21:03:03Z",
    "title_canon_sha256": "a6312293b7eb2bf713f6ced816f6cfaa6e4cb0c92b3e4a9fd71f0aef81152b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26327",
    "kind": "arxiv",
    "version": 1
  }
}