Pith Number

pith:A74JVDNC

pith:2022:A74JVDNC46S4KEF5G6MG5NCSWS

not attested not anchored not stored refs pending

A Complete Equational Theory for Quantum Circuits

Alexandre Cl\'ement, Beno\^it Valiron, Nicolas Heurtel, Shane Mansfield, Simon Perdrix

arxiv:2206.10577 v2 · 2022-06-21 · 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{A74JVDNC46S4KEF5G6MG5NCSWS}

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

Completeness for flow-preserving rewrite rules

Receipt and verification

First computed	2026-07-05T07:12:32.357283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f89a8da2e7a5c510bd37986eb452b4bca2ee24f293ccdd71fef9350da91794

Aliases

arxiv: 2206.10577 · arxiv_version: 2206.10577v2 · doi: 10.48550/arxiv.2206.10577 · pith_short_12: A74JVDNC46S4 · pith_short_16: A74JVDNC46S4KEF5 · pith_short_8: A74JVDNC

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/A74JVDNC46S4KEF5G6MG5NCSWS \
  | 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: 07f89a8da2e7a5c510bd37986eb452b4bca2ee24f293ccdd71fef9350da91794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84efb34abe50ab502d2e7b03b87a4feb8a9f30f486fc2034272e07af90ee69b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-06-21T17:56:31Z",
    "title_canon_sha256": "19a46ee6ed0405767d8d9cbf342b7bbd4f1e451b80583c6bb0a0f19ff395f0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.10577",
    "kind": "arxiv",
    "version": 2
  }
}