Pith Number

pith:6R7GDMIA

pith:2026:6R7GDMIALSUHGN7INK4TUA4L5Y

not attested not anchored not stored refs pending

Spin-Weighted Spherical Harmonics Enable Complete and Scalable $\mathrm{E}(3)$-Equivariant Networks

Andrii Kryvenko, Chenxing Liang, Chuan Li, Jianwen Xie, Shuiwang Ji, Wendi Yu, Xiaofeng Qian, Yuchao Lin

arxiv:2607.01408 v1 · 2026-07-01 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R7GDMIALSUHGN7INK4TUA4L5Y}

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	2026-07-03T00:16:59.571194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47e61b1005ca87337e86ab93a038bee20ccb44a89069bdfc2d127d71392e732

Aliases

arxiv: 2607.01408 · arxiv_version: 2607.01408v1 · doi: 10.48550/arxiv.2607.01408 · pith_short_12: 6R7GDMIALSUH · pith_short_16: 6R7GDMIALSUHGN7I · pith_short_8: 6R7GDMIA

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/6R7GDMIALSUHGN7INK4TUA4L5Y \
  | 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: f47e61b1005ca87337e86ab93a038bee20ccb44a89069bdfc2d127d71392e732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb1e3d3214f0d396f40c79d13485b49f400f7abbe9632ae28243fcc4cda3c38",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-01T19:13:44Z",
    "title_canon_sha256": "a82170a1935941a44241b7ef2260eba6f80722bebf24fde7ad0dd0afb7e1f059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01408",
    "kind": "arxiv",
    "version": 1
  }
}