Pith Number

pith:2NX2B5EJ

pith:2010:2NX2B5EJJYYDDHSIMPOA5R2GXP

not attested not anchored not stored refs pending

Extension of Wirtinger's Calculus to Reproducing Kernel Hilbert Spaces and the Complex Kernel LMS

Pantelis Bouboulis, Sergios Theodoridis

arxiv:1006.3033 v3 · 2010-06-15 · 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{2NX2B5EJJYYDDHSIMPOA5R2GXP}

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	2026-05-18T00:45:52.789688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36fa0f4894e30319e4863dc0ec746bbd7bd2f99e4b1ff5ce4fcc718a1a2f557

Aliases

arxiv: 1006.3033 · arxiv_version: 1006.3033v3 · doi: 10.48550/arxiv.1006.3033 · pith_short_12: 2NX2B5EJJYYD · pith_short_16: 2NX2B5EJJYYDDHSI · pith_short_8: 2NX2B5EJ

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/2NX2B5EJJYYDDHSIMPOA5R2GXP \
  | 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: d36fa0f4894e30319e4863dc0ec746bbd7bd2f99e4b1ff5ce4fcc718a1a2f557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0975f7790b8f2284f528c1c828e437f837a71a21390b8781e080bf02680b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2010-06-15T17:09:01Z",
    "title_canon_sha256": "c34e8d0063e3d2e35353750e83a44c47fdb522ceda6850ee06689084a02adbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3033",
    "kind": "arxiv",
    "version": 3
  }
}