Pith Number

pith:KFU36DBG

pith:2014:KFU36DBG65EFTOUIVPXCOHDVY7

not attested not anchored not stored refs pending

How Fast Can We Multiply Large Integers on an Actual Computer?

Martin F\"urer

arxiv:1402.1811 v1 · 2014-02-08 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFU36DBG65EFTOUIVPXCOHDVY7}

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	2026-05-18T02:59:33.480099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5169bf0c26f74859ba88abee271c75c7eb6d4ac9c4d828bd55a924cd080365c2

Aliases

arxiv: 1402.1811 · arxiv_version: 1402.1811v1 · doi: 10.48550/arxiv.1402.1811 · pith_short_12: KFU36DBG65EF · pith_short_16: KFU36DBG65EFTOUI · pith_short_8: KFU36DBG

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/KFU36DBG65EFTOUIVPXCOHDVY7 \
  | 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: 5169bf0c26f74859ba88abee271c75c7eb6d4ac9c4d828bd55a924cd080365c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06d8da4efb48aba5a4a1b6f9326a88d1284641c5d50229763244f5800ad6fde",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-02-08T02:47:25Z",
    "title_canon_sha256": "b3250cd54534e586a245983248133fbfe0616d5521eae4a278d69fb170ca42fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1811",
    "kind": "arxiv",
    "version": 1
  }
}