Pith Number

pith:PVWGRL77

pith:2026:PVWGRL77U7E3HYQWHS3UXAVKSJ

not attested not anchored not stored refs pending

From SGD to Muon: Adaptive Optimization via Schatten-p Norms

Corentin Friedrich, DTIPG - SNCF, Mathieu Serrurier (IRIT), Thomas Massena (IRIT, UT3)

arxiv:2605.19781 v1 · 2026-05-19 · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVWGRL77U7E3HYQWHS3UXAVKSJ}

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	2026-05-20T01:06:13.715063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6c68afffa7c9b3e2163cb74b82aa927370116ede88e7f3dbcb873386758a10

Aliases

arxiv: 2605.19781 · arxiv_version: 2605.19781v1 · doi: 10.48550/arxiv.2605.19781 · pith_short_12: PVWGRL77U7E3 · pith_short_16: PVWGRL77U7E3HYQW · pith_short_8: PVWGRL77

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/PVWGRL77U7E3HYQWHS3UXAVKSJ \
  | 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: 7d6c68afffa7c9b3e2163cb74b82aa927370116ede88e7f3dbcb873386758a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93753c1c6cfa1077b21bcf0070a736df21b266f218cb190cbe124ad4d1f611a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-19T12:47:41Z",
    "title_canon_sha256": "7f0968ba2fa16eb1160d40316134b8541807ee5a0e5dab455436be81cc914a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19781",
    "kind": "arxiv",
    "version": 1
  }
}