Pith Number

pith:WWXPMDH6

pith:2000:WWXPMDH6U75QRW5ZL4B7QXUHGP

not attested not anchored not stored refs pending

Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation

Daniel A. Lidar, Dave Bacon, Julia Kempe, K.B. Whaley (UC Berkeley)

arxiv:quant-ph/0007013 v1 · 2000-07-05 · 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{WWXPMDH6U75QRW5ZL4B7QXUHGP}

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	2026-05-18T01:05:06.844190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5aef60cfea7fb08dbb95f03f85e8733e50c5a2747874b44c9a79ca8cbed4c6c

Aliases

arxiv: quant-ph/0007013 · arxiv_version: quant-ph/0007013v1 · doi: 10.48550/arxiv.quant-ph/0007013 · pith_short_12: WWXPMDH6U75Q · pith_short_16: WWXPMDH6U75QRW5Z · pith_short_8: WWXPMDH6

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/WWXPMDH6U75QRW5ZL4B7QXUHGP \
  | 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: b5aef60cfea7fb08dbb95f03f85e8733e50c5a2747874b44c9a79ca8cbed4c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3445274477085050439565afbff7bd1e19ed92486dd17ae5e6c86ec5c8850985",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-07-05T21:24:27Z",
    "title_canon_sha256": "4e6753ecdb2054aa098d63689dd0015ada37a56c7dd14d71f13d87ccddfeecfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0007013",
    "kind": "arxiv",
    "version": 1
  }
}