Pith Number

pith:FRVXJHGU

pith:2026:FRVXJHGU2UWRTCSBA46QXDMNA5

not attested not anchored not stored refs pending

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws

Fabien Polly

arxiv:2607.06634 v1 · 2026-07-07 · 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{FRVXJHGU2UWRTCSBA46QXDMNA5}

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	2026-07-09T00:19:21.175952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6b749cd4d52d198a41073d0b8d8d0763f67602e99c3cc8983e9f32a6a1abcb

Aliases

arxiv: 2607.06634 · arxiv_version: 2607.06634v1 · doi: 10.48550/arxiv.2607.06634 · pith_short_12: FRVXJHGU2UWR · pith_short_16: FRVXJHGU2UWRTCSB · pith_short_8: FRVXJHGU

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/FRVXJHGU2UWRTCSBA46QXDMNA5 \
  | 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: 2c6b749cd4d52d198a41073d0b8d8d0763f67602e99c3cc8983e9f32a6a1abcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e5239a02a47eef5c490bf45b0254b4b6409feebc458875519c0326621433a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-07T13:55:45Z",
    "title_canon_sha256": "a22bee9314d1e622ac57754ccfd54cce3a0dd0ce8fc613e789dd520267a1e28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06634",
    "kind": "arxiv",
    "version": 1
  }
}