Pith Number

pith:4QW3BAXA

pith:2019:4QW3BAXAZ5DTOBXZJEDSVOTXRN

not attested not anchored not stored refs pending

Techniques to Reduce $\pi/4$-Parity-Phase Circuits, Motivated by the ZX Calculus

Cambridge Quantum Computing Ltd.), Dalhousie University), Niel de Beaudrap (Department of Computer Science, Quanlong Wang (Department of Computer Science, Statistics, University of Oxford, University of Oxford), Xiaoning Bian (Department of Mathematics

arxiv:1911.09039 v2 · 2019-11-20 · 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{4QW3BAXAZ5DTOBXZJEDSVOTXRN}

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	2026-07-05T00:59:34.792963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42db082e0cf473706f949072aba778b4e66d0d4043f06af00cc7549740f080c

Aliases

arxiv: 1911.09039 · arxiv_version: 1911.09039v2 · doi: 10.48550/arxiv.1911.09039 · pith_short_12: 4QW3BAXAZ5DT · pith_short_16: 4QW3BAXAZ5DTOBXZ · pith_short_8: 4QW3BAXA

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/4QW3BAXAZ5DTOBXZJEDSVOTXRN \
  | 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: e42db082e0cf473706f949072aba778b4e66d0d4043f06af00cc7549740f080c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129423f71f5d4732cbc6b2ea7efd0b18e8c79faf3e355df3e1cf2f8236da3ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-11-20T17:10:45Z",
    "title_canon_sha256": "ea40ebe97b637733ff0ba2ea3a5d2e9006a0196d721924711fdb71d6e1e2b751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09039",
    "kind": "arxiv",
    "version": 2
  }
}