Pith Number

pith:II7YJZGN

pith:2007:II7YJZGN7AQM6F5ARX5YJDKI34

not attested not anchored not stored refs pending

The Topological Properties of Fault-Tolerant Circuits

Alastair Kay

arxiv:quant-ph/0702092 v4 · 2007-02-09 · 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{II7YJZGN7AQM6F5ARX5YJDKI34}

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	2026-05-18T00:56:38.527946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423f84e4cdf820cf17a08dfb848d48df2affa48efb3d95bf27dcfb4f60be235a

Aliases

arxiv: quant-ph/0702092 · arxiv_version: quant-ph/0702092v4 · doi: 10.48550/arxiv.quant-ph/0702092 · pith_short_12: II7YJZGN7AQM · pith_short_16: II7YJZGN7AQM6F5A · pith_short_8: II7YJZGN

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/II7YJZGN7AQM6F5ARX5YJDKI34 \
  | 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: 423f84e4cdf820cf17a08dfb848d48df2affa48efb3d95bf27dcfb4f60be235a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f58282a30588aa4f204eb4d7ce6442afa4c7e86d6078eca07044a6f0a403f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-09T14:31:34Z",
    "title_canon_sha256": "ca5427c5c12e40cc5414ef6d70c4817d7a88b033d060bb852e1ea368ba7c07c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702092",
    "kind": "arxiv",
    "version": 4
  }
}