Pith Number

pith:QJ6IWPFG

pith:2012:QJ6IWPFG7AEXCD2HHAAXSBUQDU

not attested not anchored not stored refs pending

A remarkable representation of the Clifford group

Ingemar Bengtsson

arxiv:1202.3559 v1 · 2012-02-16 · 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{QJ6IWPFG7AEXCD2HHAAXSBUQDU}

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	2026-05-18T04:02:12.862579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827c8b3ca6f809710f4738017906901d30d2e245706f3be80fce5779d59b6a98

Aliases

arxiv: 1202.3559 · arxiv_version: 1202.3559v1 · doi: 10.48550/arxiv.1202.3559 · pith_short_12: QJ6IWPFG7AEX · pith_short_16: QJ6IWPFG7AEXCD2H · pith_short_8: QJ6IWPFG

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/QJ6IWPFG7AEXCD2HHAAXSBUQDU \
  | 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: 827c8b3ca6f809710f4738017906901d30d2e245706f3be80fce5779d59b6a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4cd2da3e1bbdd106459cb47cf5442d3c4e12aceb26a992fe5b05a56e9d43b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-16T10:51:08Z",
    "title_canon_sha256": "4a8cc38868978df2bb1e31753d81eca2472f3c782fc1075e0d4f701a40460620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3559",
    "kind": "arxiv",
    "version": 1
  }
}