Pith Number

pith:XPYKFWPA

pith:2014:XPYKFWPAIRXGVWV5FVY7RKFR6P

not attested not anchored not stored refs pending

Even faster integer multiplication

David Harvey, Gr\'egoire Lecerf, Joris van der Hoeven

arxiv:1407.3360 v1 · 2014-07-12 · cs.CC · cs.SC · 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{XPYKFWPAIRXGVWV5FVY7RKFR6P}

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	2026-05-18T02:47:43.189762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf0a2d9e0446e6adabd2d71f8a8b1f3c1bfb48caa07e0e6ec18275eac3a3b2f

Aliases

arxiv: 1407.3360 · arxiv_version: 1407.3360v1 · doi: 10.48550/arxiv.1407.3360 · pith_short_12: XPYKFWPAIRXG · pith_short_16: XPYKFWPAIRXGVWV5 · pith_short_8: XPYKFWPA

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/XPYKFWPAIRXGVWV5FVY7RKFR6P \
  | 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: bbf0a2d9e0446e6adabd2d71f8a8b1f3c1bfb48caa07e0e6ec18275eac3a3b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf9a8f62c459205ebed1b8f05a20a16bc89f4b17beae20564084baceb9521f8",
    "cross_cats_sorted": [
      "cs.SC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-07-12T07:54:52Z",
    "title_canon_sha256": "618a7547ed51ea9cf56a9357e20f8c482df49a5bfcc2e97f6231d83546ff9ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3360",
    "kind": "arxiv",
    "version": 1
  }
}