Pith Number

pith:SP3VK4YR

pith:2022:SP3VK4YROS425MNNI3RIBOLD2A

not attested not anchored not stored refs pending

VC dimensions of group convolutional neural networks

Anna Sepliarskaia, Philipp Christian Petersen

arxiv:2212.09507 v1 · 2022-12-19 · cs.LG · math.FA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP3VK4YROS425MNNI3RIBOLD2A}

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	2026-07-05T05:26:22.951882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f755731174b9aeb1ad46e280b963d032af41eff6af8ccd50e04454b6d25c3d

Aliases

arxiv: 2212.09507 · arxiv_version: 2212.09507v1 · doi: 10.48550/arxiv.2212.09507 · pith_short_12: SP3VK4YROS42 · pith_short_16: SP3VK4YROS425MNN · pith_short_8: SP3VK4YR

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/SP3VK4YROS425MNNI3RIBOLD2A \
  | 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: 93f755731174b9aeb1ad46e280b963d032af41eff6af8ccd50e04454b6d25c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfef325955410f68dc96fcca6b3c205362b2061b6003a9c9b6b72e2709c48ee9",
    "cross_cats_sorted": [
      "math.FA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-12-19T14:43:22Z",
    "title_canon_sha256": "4fc26d63840ded87b6a22964572499425b5f801fb37999208e0a4a1c1d60f670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09507",
    "kind": "arxiv",
    "version": 1
  }
}