Pith Number

pith:ZUMXLLDJ

pith:2010:ZUMXLLDJVK4AYZ56M4HAMO272H

not attested not anchored not stored refs pending

General Purpose Convolution Algorithm in S4-Classes by means of FFT

Matthias Kohl, Peter Ruckdeschel

arxiv:1006.0764 v3 · 2010-06-04 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUMXLLDJVK4AYZ56M4HAMO272H}

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	2026-05-18T02:45:48.941156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1975ac69aab80c67be670e063b5fd1fb735ae00fc9f101fd12c551e2264e24

Aliases

arxiv: 1006.0764 · arxiv_version: 1006.0764v3 · doi: 10.48550/arxiv.1006.0764 · pith_short_12: ZUMXLLDJVK4A · pith_short_16: ZUMXLLDJVK4AYZ56 · pith_short_8: ZUMXLLDJ

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/ZUMXLLDJVK4AYZ56M4HAMO272H \
  | 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: cd1975ac69aab80c67be670e063b5fd1fb735ae00fc9f101fd12c551e2264e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad790160a0fb25c039562a4296ba95e22293e4be46707069b30bfc229eb554f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2010-06-04T01:23:03Z",
    "title_canon_sha256": "81de8a340fb4a5245b0fa6c67ea49512d6e76ee277ced46f67f450996d870e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0764",
    "kind": "arxiv",
    "version": 3
  }
}