Pith Number

pith:QRLS5ZZ5

pith:2025:QRLS5ZZ5X3REIPIO5CRI6BJL57

not attested not anchored not stored refs pending

Quantum binary field multiplication with subquadratic Toffoli gate count and low space-time cost

Vivien Vandaele

arxiv:2501.16136 v1 · 2025-01-27 · 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{QRLS5ZZ5X3REIPIO5CRI6BJL57}

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.

Cited by

1 paper in Pith

Ancilla-free Quantum Adder with Sublinear Depth

Receipt and verification

First computed	2026-07-05T10:05:55.895422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84572ee73dbee2443d0ee8a28f052befed73ee79d7ae15c22f96be5abaa51e03

Aliases

arxiv: 2501.16136 · arxiv_version: 2501.16136v1 · doi: 10.48550/arxiv.2501.16136 · pith_short_12: QRLS5ZZ5X3RE · pith_short_16: QRLS5ZZ5X3REIPIO · pith_short_8: QRLS5ZZ5

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/QRLS5ZZ5X3REIPIO5CRI6BJL57 \
  | 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: 84572ee73dbee2443d0ee8a28f052befed73ee79d7ae15c22f96be5abaa51e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e190094ddfbf6f1ea08ff2f47f73b5301f87edd723adc79887b54141a27707f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-27T15:26:11Z",
    "title_canon_sha256": "b07925e88ed487a44dc051f5ea062aa5f7b11cbb9ec99cbea785e565aaad5b99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16136",
    "kind": "arxiv",
    "version": 1
  }
}