Pith Number

pith:6NJWIGDK

pith:2009:6NJWIGDKIAATH6RJ6X5YO7PFZD

not attested not anchored not stored refs pending

Convolution operations arising from Vandermonde matrices

M. Debbah, {\O}. Ryan

arxiv:0910.4624 v1 · 2009-10-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NJWIGDKIAATH6RJ6X5YO7PFZD}

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	2026-05-18T00:59:11.169438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35364186a400133fa29f5fb877de5c8eb9858c6765bb4ea3314289bdff2c2f1

Aliases

arxiv: 0910.4624 · arxiv_version: 0910.4624v1 · doi: 10.48550/arxiv.0910.4624 · pith_short_12: 6NJWIGDKIAAT · pith_short_16: 6NJWIGDKIAATH6RJ · pith_short_8: 6NJWIGDK

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/6NJWIGDKIAATH6RJ6X5YO7PFZD \
  | 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: f35364186a400133fa29f5fb877de5c8eb9858c6765bb4ea3314289bdff2c2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c424775215edf846bf3646c4fa021cefc0d2a1b327d1ce1d1fccd131cc5c3c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-10-26T17:50:29Z",
    "title_canon_sha256": "7691277465e992de1d148fbfaff902e75de6706ce68b50e572cd360d9e9db4b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4624",
    "kind": "arxiv",
    "version": 1
  }
}