Pith Number

pith:JW5UMKJD

pith:2016:JW5UMKJDKSQC53L3Q3J3Q5PW7C

not attested not anchored not stored refs pending

Faster integer multiplication using plain vanilla FFT primes

David Harvey, Joris van der Hoeven

arxiv:1611.07144 v2 · 2016-11-22 · cs.SC · cs.CC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW5UMKJDKSQC53L3Q3J3Q5PW7C}

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	2026-05-18T00:32:51.115896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dbb46292354a02eed7b86d3b875f6f8bffd57025779b31298b782d88ece6ec1

Aliases

arxiv: 1611.07144 · arxiv_version: 1611.07144v2 · doi: 10.48550/arxiv.1611.07144 · pith_short_12: JW5UMKJDKSQC · pith_short_16: JW5UMKJDKSQC53L3 · pith_short_8: JW5UMKJD

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/JW5UMKJDKSQC53L3Q3J3Q5PW7C \
  | 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: 4dbb46292354a02eed7b86d3b875f6f8bffd57025779b31298b782d88ece6ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c7717ed88c5705b92d5cbab25957eab23aa3038338ab625cd7c361af9cb040",
    "cross_cats_sorted": [
      "cs.CC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2016-11-22T04:35:14Z",
    "title_canon_sha256": "28abd15c77fb1d5e73586bb763acda878129fdb515d3041a44ad5255d37acd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07144",
    "kind": "arxiv",
    "version": 2
  }
}