Pith Number

pith:PAB5S5EL

pith:2026:PAB5S5ELBB7D24QJIAVDWHKW6Y

not attested not anchored not stored refs pending

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum

Haiwen Yi, Xinyuan Song

arxiv:2607.04535 v1 · 2026-07-05 · cs.LG · 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{PAB5S5ELBB7D24QJIAVDWHKW6Y}

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	2026-07-07T02:19:23.586676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7803d9748b087e3d7209402a3b1d56f60022b58f465311e0f16fcfbcc300a8d9

Aliases

arxiv: 2607.04535 · arxiv_version: 2607.04535v1 · doi: 10.48550/arxiv.2607.04535 · pith_short_12: PAB5S5ELBB7D · pith_short_16: PAB5S5ELBB7D24QJ · pith_short_8: PAB5S5EL

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/PAB5S5ELBB7D24QJIAVDWHKW6Y \
  | 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: 7803d9748b087e3d7209402a3b1d56f60022b58f465311e0f16fcfbcc300a8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a377e3b4c250f4b6e671ed294c26543c5cc1c6ab6a77f4ca9d5ab5a08595001",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-05T22:46:17Z",
    "title_canon_sha256": "5d502ba0895164f36f474120d67f85accccfae3c62356d43a2e8b24f0b2ffa99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04535",
    "kind": "arxiv",
    "version": 1
  }
}