Pith Number

pith:SJNPNMLS

pith:2026:SJNPNMLSSFWPSWC7LEHTV5WYIG

not attested not anchored not stored refs pending

Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks

Yoshihiro Maruyama

arxiv:2607.03798 v1 · 2026-07-04 · cs.LG · cs.AI · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJNPNMLSSFWPSWC7LEHTV5WYIG}

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	2026-07-07T02:18:08.246544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925af6b172916cf9585f590f3af6d8419ae415f3d9984543c1b8914fa04485bc

Aliases

arxiv: 2607.03798 · arxiv_version: 2607.03798v1 · doi: 10.48550/arxiv.2607.03798 · pith_short_12: SJNPNMLSSFWP · pith_short_16: SJNPNMLSSFWPSWC7 · pith_short_8: SJNPNMLS

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/SJNPNMLSSFWPSWC7LEHTV5WYIG \
  | 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: 925af6b172916cf9585f590f3af6d8419ae415f3d9984543c1b8914fa04485bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2028790fab4c8b91468e2c4aedf49554744850220eb5987849c47a8f8d9282",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-04T09:59:11Z",
    "title_canon_sha256": "9474aca4f1b9c4b2a9c2a07261792c9de3b44d05c327f1e43ccb00b427dfce62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03798",
    "kind": "arxiv",
    "version": 1
  }
}