Pith Number

pith:6Q5XBINL

pith:2021:6Q5XBINLZDJL7TFMZRBIFNQRMA

not attested not anchored not stored refs pending

Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions

Ameya D. Jagtap, George Em Karniadakis, Kenji Kawaguchi, Yeonjong Shin

arxiv:2105.09513 v2 · 2021-05-20 · 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{6Q5XBINLZDJL7TFMZRBIFNQRMA}

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	2026-07-05T03:24:10.930980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43b70a1abc8d2bfccaccc4282b611600e7b08d43bd6b189ebef5c104447010d

Aliases

arxiv: 2105.09513 · arxiv_version: 2105.09513v2 · doi: 10.48550/arxiv.2105.09513 · pith_short_12: 6Q5XBINLZDJL · pith_short_16: 6Q5XBINLZDJL7TFM · pith_short_8: 6Q5XBINL

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/6Q5XBINLZDJL7TFMZRBIFNQRMA \
  | 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: f43b70a1abc8d2bfccaccc4282b611600e7b08d43bd6b189ebef5c104447010d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58080deac9c41df76312d804f9af81cf147f6c617ed75d4ce8cd13b615db6162",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-20T04:54:57Z",
    "title_canon_sha256": "50488ed145c8822c37bde36e67b8b0f03f1bb7f02eb0e90857f4832df34797aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09513",
    "kind": "arxiv",
    "version": 2
  }
}