Pith Number

pith:ZYR2QBC2

pith:2019:ZYR2QBC2ZPBZLVSTOET6NDSWBD

not attested not anchored not stored refs pending

Asymptotically Efficient Quantum Karatsuba Multiplication

Craig Gidney

arxiv:1904.07356 v1 · 2019-04-15 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYR2QBC2ZPBZLVSTOET6NDSWBD}

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	2026-05-17T23:48:28.802776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce23a8045acbc395d6537127e68e5608d43e379ea566cd297b0ca723e89caa47

Aliases

arxiv: 1904.07356 · arxiv_version: 1904.07356v1 · doi: 10.48550/arxiv.1904.07356 · pith_short_12: ZYR2QBC2ZPBZ · pith_short_16: ZYR2QBC2ZPBZLVST · pith_short_8: ZYR2QBC2

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/ZYR2QBC2ZPBZLVSTOET6NDSWBD \
  | 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: ce23a8045acbc395d6537127e68e5608d43e379ea566cd297b0ca723e89caa47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5b33487cea0f7a16f9eb44f10dd9bf628817d237102aacbd38809ac7ff020c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-04-15T23:04:21Z",
    "title_canon_sha256": "d8e87d0d1dd89406e6b063d7e9939cdf5d5517affdf62a31f54dd6d106954be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07356",
    "kind": "arxiv",
    "version": 1
  }
}