Pith Number

pith:M7BLOTN5

pith:2019:M7BLOTN5WQHXLNDLIOFAV4O3BJ

not attested not anchored not stored refs pending

Improved Generalization Bounds of Group Invariant / Equivariant Deep Networks via Quotient Feature Spaces

Akiyoshi Sannai, Makoto Kawano, Masaaki Imaizumi

arxiv:1910.06552 v3 · 2019-10-15 · stat.ML · 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{M7BLOTN5WQHXLNDLIOFAV4O3BJ}

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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	2026-07-05T02:50:37.492858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c2b74dbdb40f75b46b438a0af1db0a4d0369fcfda9229f113f2b288ad574a6

Aliases

arxiv: 1910.06552 · arxiv_version: 1910.06552v3 · doi: 10.48550/arxiv.1910.06552 · pith_short_12: M7BLOTN5WQHX · pith_short_16: M7BLOTN5WQHXLNDL · pith_short_8: M7BLOTN5

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/M7BLOTN5WQHXLNDLIOFAV4O3BJ \
  | 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: 67c2b74dbdb40f75b46b438a0af1db0a4d0369fcfda9229f113f2b288ad574a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bad514134e28e0bf28a67c16923ab082e1a04d34dc03dc3fd97c83971af42b5",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-10-15T06:24:53Z",
    "title_canon_sha256": "d3a01b645d565475766c81a60f389d6c20d3060665e25337d93a40f1ee3b20ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06552",
    "kind": "arxiv",
    "version": 3
  }
}