Pith Number

pith:Z4IMSQQ7

pith:2008:Z4IMSQQ7XRXTF76UKAZGMB7PNM

not attested not anchored not stored refs pending

Unitary reflection groups for quantum fault tolerance

Maurice R. Kibler (IPNL), Michel Planat (FEMTO-ST)

arxiv:0807.3650 v3 · 2008-07-23 · quant-ph · math-ph · math.GR · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4IMSQQ7XRXTF76UKAZGMB7PNM}

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	2026-05-18T04:42:02.781365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf10c9421fbc6f32ffd450326607ef6b023806981750e1d267c074b150f3fd68

Aliases

arxiv: 0807.3650 · arxiv_version: 0807.3650v3 · doi: 10.48550/arxiv.0807.3650 · pith_short_12: Z4IMSQQ7XRXT · pith_short_16: Z4IMSQQ7XRXTF76U · pith_short_8: Z4IMSQQ7

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/Z4IMSQQ7XRXTF76UKAZGMB7PNM \
  | 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: cf10c9421fbc6f32ffd450326607ef6b023806981750e1d267c074b150f3fd68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6de20f9808d67751b92319e49eeaeeed2c7089f40f84930e7ed3c8e6ddd7cab",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-07-23T12:36:43Z",
    "title_canon_sha256": "b6156bde4f9093e8bb62b7d919167807b48552b2ea6cf7dd22f56bdc5aa4669c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3650",
    "kind": "arxiv",
    "version": 3
  }
}