Pith Number

pith:4D2SJQLF

pith:2003:4D2SJQLFMNKASCEBWEJSP7PVSV

not attested not anchored not stored refs pending

Minimal Universal Two-qubit Quantum Circuits

Igor L. Markov, Stephen S. Bullock, Vivek V. Shende

arxiv:quant-ph/0308033 v3 · 2003-08-06 · 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{4D2SJQLFMNKASCEBWEJSP7PVSV}

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	2026-05-18T03:24:20.164446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f524c1656354090881b11327fdf595591f7a11826ddd2b16f054801724bcf9

Aliases

arxiv: quant-ph/0308033 · arxiv_version: quant-ph/0308033v3 · doi: 10.48550/arxiv.quant-ph/0308033 · pith_short_12: 4D2SJQLFMNKA · pith_short_16: 4D2SJQLFMNKASCEB · pith_short_8: 4D2SJQLF

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/4D2SJQLFMNKASCEBWEJSP7PVSV \
  | 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: e0f524c1656354090881b11327fdf595591f7a11826ddd2b16f054801724bcf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200b86ebb6db28a9f3b0908f7266ea0e6cad2ad5d7256227bb8d3c21b9ee1803",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-06T19:42:16Z",
    "title_canon_sha256": "f68744d7be3a1d303ddb3946ecbea2ff2b8d79809163fc7a53148c62d5166600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308033",
    "kind": "arxiv",
    "version": 3
  }
}