Pith Number

pith:N73WDFS2

pith:2023:N73WDFS2RAJBZK33RVYIHSS5UO

not attested not anchored not stored refs pending

Theory and Implementation of Complex-Valued Neural Networks

Chengfang Ren, Christele Morisseau, Gilles Vieillard, Jean-Philippe Ovarlez, Jose Agustin Barrachina

arxiv:2302.08286 v1 · 2023-02-16 · 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{N73WDFS2RAJBZK33RVYIHSS5UO}

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

3 papers in Pith

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation

Batch Normalization for Neural Networks on Complex Domains

Entanglement is Half the Story: Post-Selection vs. Partial Traces

Receipt and verification

First computed	2026-07-05T05:42:36.460568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff761965a88121cab7b8d7083ca5da3b11ec399e5a026e67a94d427044664b3

Aliases

arxiv: 2302.08286 · arxiv_version: 2302.08286v1 · doi: 10.48550/arxiv.2302.08286 · pith_short_12: N73WDFS2RAJB · pith_short_16: N73WDFS2RAJBZK33 · pith_short_8: N73WDFS2

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/N73WDFS2RAJBZK33RVYIHSS5UO \
  | 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: 6ff761965a88121cab7b8d7083ca5da3b11ec399e5a026e67a94d427044664b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36787f2fa5f01ca25ae646e57effd6e832456d2a100d97e46bb99255fa0a563",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-02-16T13:31:10Z",
    "title_canon_sha256": "aff6daa4bf749d523ccadaecf614043ca4f73cbbbb62efdb3ac8eeeaf20aebc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08286",
    "kind": "arxiv",
    "version": 1
  }
}