Pith Number

pith:RSTNJY5Z

pith:2026:RSTNJY5ZX5ZNIDQWNA3E3PEBPI

not attested not anchored not stored refs pending

Riesz-Kernel Stein Variational Gradient Descent: Renormalized Entropy and Long-Time Particle Limits

Maarten V. de Hoop, Trevor Teolis

arxiv:2607.14527 v1 · 2026-07-16 · math.AP · 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{RSTNJY5ZX5ZNIDQWNA3E3PEBPI}

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	2026-07-17T01:21:16.227515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ca6d4e3b9bf72d40e1668364dbc817a21f74990b5dc7e90d03712533aeb9261

Aliases

arxiv: 2607.14527 · arxiv_version: 2607.14527v1 · doi: 10.48550/arxiv.2607.14527 · pith_short_12: RSTNJY5ZX5ZN · pith_short_16: RSTNJY5ZX5ZNIDQW · pith_short_8: RSTNJY5Z

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/RSTNJY5ZX5ZNIDQWNA3E3PEBPI \
  | 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: 8ca6d4e3b9bf72d40e1668364dbc817a21f74990b5dc7e90d03712533aeb9261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e598627d2cb935861d2f4dd0f5308189ca27112e419b0942435175980678a60",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-16T03:30:20Z",
    "title_canon_sha256": "91d21de1784f31e41a7dea6f074d7119f2c2d8fb15faf16ad1d7db6766c9c2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14527",
    "kind": "arxiv",
    "version": 1
  }
}