Pith Number

pith:PLF5MSKR

pith:2026:PLF5MSKRF2MW2BGHDEXEZQ4GFX

not attested not anchored not stored refs pending

Lower bounds for the CNOT-complexity of linear reversible operators

S{\o}ren Fuglede J{\o}rgensen

arxiv:2607.22248 v1 · 2026-07-24 · 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{PLF5MSKRF2MW2BGHDEXEZQ4GFX}

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	2026-07-27T01:20:55.849600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7acbd649512e996d04c7192e4cc3862ddc34fd89a74b2d47b895afebe42318e1

Aliases

arxiv: 2607.22248 · arxiv_version: 2607.22248v1 · doi: 10.48550/arxiv.2607.22248 · pith_short_12: PLF5MSKRF2MW · pith_short_16: PLF5MSKRF2MW2BGH · pith_short_8: PLF5MSKR

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/PLF5MSKRF2MW2BGHDEXEZQ4GFX \
  | 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: 7acbd649512e996d04c7192e4cc3862ddc34fd89a74b2d47b895afebe42318e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec09d70d68e5493d5a365bdc9b231cf03b2848a2fbf1e4000e07b7a06551da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-24T12:31:18Z",
    "title_canon_sha256": "3573bf3eb5777b89d4facb31e2e044f874ee0fd8c83053390bfbb95d4c24d951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22248",
    "kind": "arxiv",
    "version": 1
  }
}