Pith Number

pith:6VRR4MV6

pith:2025:6VRR4MV6B5JHB2LJH7DBWZQ3SL

not attested not anchored not stored refs pending

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products

Ameya Daigavane, Mit Kotak, Tess Smidt, Yuqing Xie

arxiv:2506.13523 v2 · 2025-06-16 · 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{6VRR4MV6B5JHB2LJH7DBWZQ3SL}

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	2026-07-05T11:37:23.549546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5631e32be0f5270e9693fc61b661b92ec34b601e67753bca1489cd3aba23a5d

Aliases

arxiv: 2506.13523 · arxiv_version: 2506.13523v2 · doi: 10.48550/arxiv.2506.13523 · pith_short_12: 6VRR4MV6B5JH · pith_short_16: 6VRR4MV6B5JHB2LJ · pith_short_8: 6VRR4MV6

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/6VRR4MV6B5JHB2LJH7DBWZQ3SL \
  | 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: f5631e32be0f5270e9693fc61b661b92ec34b601e67753bca1489cd3aba23a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539cac9fe2705fbc6936449a891929038a63d35d31676f0bafebe1f6508f5077",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-16T14:15:18Z",
    "title_canon_sha256": "6a81881819a1124e692c8abd7412df0fa876bc988fde65dcc69a5ca5995c80cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13523",
    "kind": "arxiv",
    "version": 2
  }
}