Pith Number

pith:HSBOPVAG

pith:2026:HSBOPVAG5PKF2LLIQUOVNX5W5Q

not attested not anchored not stored refs pending

Muon Meets Mamba: Spectral Optimization for State Space Models

Alexander Markotenko, Arslan Battalov, Karim Kramin, Sofia Sinitsina

arxiv:2608.03941 v1 · 2026-08-04 · 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{HSBOPVAG5PKF2LLIQUOVNX5W5Q}

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	2026-08-05T01:37:32.906653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c82e7d406ebd45d2d68851d56dfb6ec37a0eaec36940181606fc177f698528f

Aliases

arxiv: 2608.03941 · arxiv_version: 2608.03941v1 · doi: 10.48550/arxiv.2608.03941 · pith_short_12: HSBOPVAG5PKF · pith_short_16: HSBOPVAG5PKF2LLI · pith_short_8: HSBOPVAG

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/HSBOPVAG5PKF2LLIQUOVNX5W5Q \
  | 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: 3c82e7d406ebd45d2d68851d56dfb6ec37a0eaec36940181606fc177f698528f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf9d663973b90b38496642ccf119ceaa524524a72685c3d7569e9d5a81aeeef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-04T17:10:47Z",
    "title_canon_sha256": "4a37cf6e7ef685e54cf47b05ad5cd3f363cb5d350dc9cdcf8c6ca09979891ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03941",
    "kind": "arxiv",
    "version": 1
  }
}