Pith Number

pith:TVVOXWE6

pith:2026:TVVOXWE6ABR2T4BUHX6YGIAOKO

not attested not anchored not stored refs pending

Factorization of Exclusive-Sum-Of-Products Expressions with Rectangle Covering to Reduce Quantum Circuit Cost

Ali Al-Bayaty, Audrey Hou, Lucia Zhang, Marek Perkowski

arxiv:2608.03188 v1 · 2026-08-04 · 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{TVVOXWE6ABR2T4BUHX6YGIAOKO}

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	2026-08-05T00:46:04.588069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6aebd89e0063a9f0343dfd83200e53922428c817a54b2804e9f82aed3c8ac8

Aliases

arxiv: 2608.03188 · arxiv_version: 2608.03188v1 · doi: 10.48550/arxiv.2608.03188 · pith_short_12: TVVOXWE6ABR2 · pith_short_16: TVVOXWE6ABR2T4BU · pith_short_8: TVVOXWE6

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/TVVOXWE6ABR2T4BUHX6YGIAOKO \
  | 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: 9d6aebd89e0063a9f0343dfd83200e53922428c817a54b2804e9f82aed3c8ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71f9b72060caa913b779c25db30ccbc0f862a3a191452e23716ad8beedd63de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-04T06:30:34Z",
    "title_canon_sha256": "dd412e7ab0418053dde0e0c06c168ee4974c58813e36a2e5403a073cf947a71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03188",
    "kind": "arxiv",
    "version": 1
  }
}