Pith Number

pith:QJQI32K2

pith:2025:QJQI32K2U36JC5WLDV2B46OI3I

not attested not anchored not stored refs pending

Fractional-order Jacobian Matrix Differentiation and Its Application in Artificial Neural Networks

Chengli Zhou, Chunna Zhao, Junjie Ye, Kemeng Xiang, Xiaojun Zhou, Yaqun Huang

arxiv:2506.07408 v1 · 2025-06-09 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJQI32K2U36JC5WLDV2B46OI3I}

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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	2026-07-05T11:18:26.790618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82608de95aa6fc9176cb1d741e79c8da194b108e0a27cc4e50a82932de7cbfb5

Aliases

arxiv: 2506.07408 · arxiv_version: 2506.07408v1 · doi: 10.48550/arxiv.2506.07408 · pith_short_12: QJQI32K2U36J · pith_short_16: QJQI32K2U36JC5WL · pith_short_8: QJQI32K2

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/QJQI32K2U36JC5WLDV2B46OI3I \
  | 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: 82608de95aa6fc9176cb1d741e79c8da194b108e0a27cc4e50a82932de7cbfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb4bbba135f55df8141b881a9f3c22f67ef9e4ca0ec85ea8ff0534c35a46581",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-09T04:04:08Z",
    "title_canon_sha256": "6fc0bf37099a02b47871aaae484cf5f4e630ce0d53246ca9061e22a788aafac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07408",
    "kind": "arxiv",
    "version": 1
  }
}