Pith Number

pith:J2E2ON3Y

pith:2015:J2E2ON3Y62NATMAE52HQ7GFORL

not attested not anchored not stored refs pending

A deterministic sparse FFT algorithm for vectors with small support

Gerlind Plonka, Katrin Wannenwetsch

arxiv:1504.02214 v1 · 2015-04-09 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2E2ON3Y62NATMAE52HQ7GFORL}

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	2026-05-18T01:03:36.948854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e89a73778f69a09b004ee8f0f98ae8ac88f358e971cc92059f572a508c1a4b4

Aliases

arxiv: 1504.02214 · arxiv_version: 1504.02214v1 · doi: 10.48550/arxiv.1504.02214 · pith_short_12: J2E2ON3Y62NA · pith_short_16: J2E2ON3Y62NATMAE · pith_short_8: J2E2ON3Y

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/J2E2ON3Y62NATMAE52HQ7GFORL \
  | 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: 4e89a73778f69a09b004ee8f0f98ae8ac88f358e971cc92059f572a508c1a4b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce761514cca890fd75c1d660e9644d377383e08c56028ef435c2e39587ba3161",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-04-09T07:50:42Z",
    "title_canon_sha256": "addcee2f9209636837a605a120d38f71d4d388312f3582a4cc438eb1cbcbd5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02214",
    "kind": "arxiv",
    "version": 1
  }
}