Pith Number

pith:CZAT7Z6R

pith:2022:CZAT7Z6R4NWK65DBKYU2XUTGLJ

not attested not anchored not stored refs pending

Duality for Neural Networks through Reproducing Kernel Banach Spaces

Christoph Brune, Felix Schwenninger, Len Spek, Tjeerd Jan Heeringa

arxiv:2211.05020 v3 · 2022-11-09 · math.FA · 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{CZAT7Z6R4NWK65DBKYU2XUTGLJ}

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.

Cited by

1 paper in Pith

Mirror Descent on Reproducing Kernel Banach Spaces

Receipt and verification

First computed	2026-07-05T05:50:10.594481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16413fe7d1e36caf74615629abd2665a724fc63ee8c9895360fc7d6b86dae3c0

Aliases

arxiv: 2211.05020 · arxiv_version: 2211.05020v3 · doi: 10.48550/arxiv.2211.05020 · pith_short_12: CZAT7Z6R4NWK · pith_short_16: CZAT7Z6R4NWK65DB · pith_short_8: CZAT7Z6R

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/CZAT7Z6R4NWK65DBKYU2XUTGLJ \
  | 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: 16413fe7d1e36caf74615629abd2665a724fc63ee8c9895360fc7d6b86dae3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993b3e359abb7fdc77809dea8f5fac43e06387b79718941b5b20843bdfe800ec",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-11-09T16:52:39Z",
    "title_canon_sha256": "280ae8acf17ede3a86e8a0b3936bba5772f49499d9d358857d7f754573115027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05020",
    "kind": "arxiv",
    "version": 3
  }
}