Pith Number

pith:2XDVICGS

pith:2002:2XDVICGS2AIN2Z4LM72JF3REVZ

not attested not anchored not stored refs pending

Both Toffoli and Controlled-NOT need little help to do universal quantum computation

Yaoyun Shi

arxiv:quant-ph/0205115 v2 · 2002-05-18 · 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{2XDVICGS2AIN2Z4LM72JF3REVZ}

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

4 papers in Pith

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry

Fault-Tolerant Error Detection Above Break-Even for Multi-Qubit Gates

Receipt and verification

First computed	2026-07-04T14:45:56.552006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c75408d2d010dd678b67f492ee24ae66d3bfbd3a8686c3ad011874ba3566fb

Aliases

arxiv: quant-ph/0205115 · arxiv_version: quant-ph/0205115v2 · doi: 10.48550/arxiv.quant-ph/0205115 · pith_short_12: 2XDVICGS2AIN · pith_short_16: 2XDVICGS2AIN2Z4L · pith_short_8: 2XDVICGS

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/2XDVICGS2AIN2Z4LM72JF3REVZ \
  | 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: d5c75408d2d010dd678b67f492ee24ae66d3bfbd3a8686c3ad011874ba3566fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385e5078bb4838db77fc55ee28222deb565a3142778cbf2270c9c6f40b677b24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-05-18T00:54:19Z",
    "title_canon_sha256": "4d08bf9554fa63c579d741bbd9bf698c255b40ea37af6110757919e955824d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0205115",
    "kind": "arxiv",
    "version": 2
  }
}