Pith Number

pith:XVW26VDW

pith:2026:XVW26VDWSK4HCCSYETCJKN3D26

not attested not anchored not stored refs pending

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer

Alexander Molozhavenko, Maxim Rakhuba, Sergei Kudriashov, Vladimir Aletov, Vladimir Bogachev

arxiv:2606.25975 v1 · 2026-06-24 · cs.LG · cs.CV · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVW26VDWSK4HCCSYETCJKN3D26}

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

Muon on the Stiefel Manifold Admits an Exact Closed-Form Update

Receipt and verification

First computed	2026-06-25T01:18:44.825225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6daf547692b8710a5824c4953763d79ef530304da5358f91c08128787769d3

Aliases

arxiv: 2606.25975 · arxiv_version: 2606.25975v1 · doi: 10.48550/arxiv.2606.25975 · pith_short_12: XVW26VDWSK4H · pith_short_16: XVW26VDWSK4HCCSY · pith_short_8: XVW26VDW

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/XVW26VDWSK4HCCSYETCJKN3D26 \
  | 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: bd6daf547692b8710a5824c4953763d79ef530304da5358f91c08128787769d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c647624d09ddb6904c69fd6f87985d229569a78e1761b77c886706046070ecd1",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-24T15:46:04Z",
    "title_canon_sha256": "61e2fe64e209c54702e58c00d913d81a745fe0f8e27159a33ad53a3c3863d10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25975",
    "kind": "arxiv",
    "version": 1
  }
}