Pith Number

pith:M3BV323A

pith:2018:M3BV323A25KRXLU44CSWGJUMBB

not attested not anchored not stored refs pending

Faster integer multiplication using short lattice vectors

David Harvey, Joris van der Hoeven

arxiv:1802.07932 v1 · 2018-02-22 · cs.SC · cs.DS · 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{M3BV323A25KRXLU44CSWGJUMBB}

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	2026-05-17T23:54:11.606760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c35deb60d7551bae9ce0a563268c08783acaffafc8dfc405afc04fe8a66912

Aliases

arxiv: 1802.07932 · arxiv_version: 1802.07932v1 · doi: 10.48550/arxiv.1802.07932 · pith_short_12: M3BV323A25KR · pith_short_16: M3BV323A25KRXLU4 · pith_short_8: M3BV323A

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/M3BV323A25KRXLU44CSWGJUMBB \
  | 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: 66c35deb60d7551bae9ce0a563268c08783acaffafc8dfc405afc04fe8a66912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22f3cf3e77217dd98495062b81a52145254914f1783240f20646b33c2afeba5",
    "cross_cats_sorted": [
      "cs.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2018-02-22T08:01:59Z",
    "title_canon_sha256": "3546d7595ce62aee13d9bb963304dee47aad0762ddcbc8f79b5a14adf575c14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07932",
    "kind": "arxiv",
    "version": 1
  }
}