Pith Number

pith:4VSWE5QG

pith:2020:4VSWE5QGZTPR7RN3N5HXKMYE2R

not attested not anchored not stored refs pending

Butterfly factorization via randomized matrix-vector multiplications

Eric Michielssen, Han Guo, Pieter Ghysels, Xiaoye Sherry Li, Xin Xing, Yang Liu

arxiv:2002.03400 v1 · 2020-02-09 · math.NA · cs.MS · 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{4VSWE5QGZTPR7RN3N5HXKMYE2R}

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	2026-07-05T00:39:21.866237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e565627606ccdf1fc5bb6f4f753304d4574176b655249a81e71d0e2fd42f81b9

Aliases

arxiv: 2002.03400 · arxiv_version: 2002.03400v1 · doi: 10.48550/arxiv.2002.03400 · pith_short_12: 4VSWE5QGZTPR · pith_short_16: 4VSWE5QGZTPR7RN3 · pith_short_8: 4VSWE5QG

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/4VSWE5QGZTPR7RN3N5HXKMYE2R \
  | 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: e565627606ccdf1fc5bb6f4f753304d4574176b655249a81e71d0e2fd42f81b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9a3b68070162e8c6dca747d34952bf42c5f5ab55a089b519485c9f0ba80dc2",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-02-09T17:19:44Z",
    "title_canon_sha256": "bf26220cbe44ed00abc356a39d5d62c27cf0100012c75dffc883e0c1440ae6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03400",
    "kind": "arxiv",
    "version": 1
  }
}