Pith Number

pith:ZF3IPJS4

pith:2023:ZF3IPJS4DNXVXFQOIBEKK6QQQJ

not attested not anchored not stored refs pending

Complex-valued Neural Networks -- Theory and Analysis

Rayyan Abdalla

arxiv:2312.06087 v1 · 2023-12-11 · cs.LG · cs.NE · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF3IPJS4DNXVXFQOIBEKK6QQQJ}

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	2026-07-05T07:22:38.414431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97687a65c1b6f5b960e4048a57a10824d87a7e7acce33146759d55d7df1a997

Aliases

arxiv: 2312.06087 · arxiv_version: 2312.06087v1 · doi: 10.48550/arxiv.2312.06087 · pith_short_12: ZF3IPJS4DNXV · pith_short_16: ZF3IPJS4DNXVXFQO · pith_short_8: ZF3IPJS4

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/ZF3IPJS4DNXVXFQOIBEKK6QQQJ \
  | 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: c97687a65c1b6f5b960e4048a57a10824d87a7e7acce33146759d55d7df1a997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f13e2964996e85dd6652c62e97d6c4d1c6b6217e610409cfe65983be33b7cb",
    "cross_cats_sorted": [
      "cs.NE",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-12-11T03:24:26Z",
    "title_canon_sha256": "3153e9d8f8c142471c1dabe639df9236c17dae4b0a748e78ae47587667691626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.06087",
    "kind": "arxiv",
    "version": 1
  }
}