Pith Number

pith:6YY66F2J

pith:2000:6YY66F2JCY7WVQZ7KSBCSXZQVU

not attested not anchored not stored refs pending

Thresholds for Linear Optics Quantum Computation

E. Knill, G. Milburn, R. Laflamme

arxiv:quant-ph/0006120 v1 · 2000-06-27 · 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{6YY66F2JCY7WVQZ7KSBCSXZQVU}

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	2026-07-04T14:45:29.601833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f631ef1749163f6ac33f5482295f30ad004a94dd5098cdbc8bc14d6910ea745a

Aliases

arxiv: quant-ph/0006120 · arxiv_version: quant-ph/0006120v1 · doi: 10.48550/arxiv.quant-ph/0006120 · pith_short_12: 6YY66F2JCY7W · pith_short_16: 6YY66F2JCY7WVQZ7 · pith_short_8: 6YY66F2J

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/6YY66F2JCY7WVQZ7KSBCSXZQVU \
  | 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: f631ef1749163f6ac33f5482295f30ad004a94dd5098cdbc8bc14d6910ea745a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ab255f6c20de441b21559ee285f220f06beb49edba2c9d2c1e1975666aaf1c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-27T20:41:59Z",
    "title_canon_sha256": "7ab3b103323d1d2f2e77b7a327b08a5f9136c6eec8b75269c9c797fe45d2f7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006120",
    "kind": "arxiv",
    "version": 1
  }
}