Pith Number

pith:SGDXCHP6

pith:2026:SGDXCHP6XLXRSPCX647N6ESIDE

not attested not anchored not stored refs pending

Manifold Random Features

Ananya Parashar, Derek Long, Dwaipayan Saha, Krzysztof Choromanski

Manifold Random Features approximate kernels on general manifolds by discretizing them into graphs to generate positive bounded features.

arxiv:2602.03797 v3 · 2026-02-03 · cs.LG

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\usepackage{pith}
\pithnumber{SGDXCHP6XLXRSPCX647N6ESIDE}

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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.

Claims

C1strongest claim

MRFs provide positive and bounded features, a key property for accurate, low-variance approximation, and show deep asymptotic connection between GRFs on discrete graphs and continuous random features for regular kernels.

C2weakest assumption

That discretizing an arbitrary manifold into a graph preserves the geometric properties needed for the random features to converge to the desired continuous approximation on the original manifold.

C3one line summary

Manifold Random Features approximate kernels on general manifolds via discretization and graph random features to yield positive bounded features with asymptotic connections to continuous random features.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:05:41.577911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9187711dfebaef193c57f73edf12481939f37fe3bdfaa415043c9c2f08683466

Aliases

arxiv: 2602.03797 · arxiv_version: 2602.03797v3 · doi: 10.48550/arxiv.2602.03797 · pith_short_12: SGDXCHP6XLXR · pith_short_16: SGDXCHP6XLXRSPCX · pith_short_8: SGDXCHP6

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/SGDXCHP6XLXRSPCX647N6ESIDE \
  | 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: 9187711dfebaef193c57f73edf12481939f37fe3bdfaa415043c9c2f08683466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3eec12df0e7e08d9c8b97e3ee8f6618cd905b90189be33909372d43b6c0d2c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-03T18:00:01Z",
    "title_canon_sha256": "9692d2ecba17d9875eb9e8a04198c891b37d268b9eeee253a5a77484b27bc1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.03797",
    "kind": "arxiv",
    "version": 3
  }
}