Pith Number

pith:33OSZLQF

pith:2013:33OSZLQFLKVGTDC4JOWUD7WVCQ

not attested not anchored not stored refs pending

A Notable Relation between $N$-Qubit and $2^{N-1}$-Qubit Pauli Groups via Binary ${\rm LGr}(N,2N)$

Fr\'ed\'eric Holweck, Metod Saniga, P\'eter L\'evay

arxiv:1311.2408 v2 · 2013-11-11 · math-ph · math.CO · math.MP · 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{33OSZLQFLKVGTDC4JOWUD7WVCQ}

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	2026-05-18T02:54:39.402729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedd2cae055aaa698c5c4bad41fed51409267dff5a27621e21eb0c3e42a54aea

Aliases

arxiv: 1311.2408 · arxiv_version: 1311.2408v2 · doi: 10.48550/arxiv.1311.2408 · pith_short_12: 33OSZLQFLKVG · pith_short_16: 33OSZLQFLKVGTDC4 · pith_short_8: 33OSZLQF

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/33OSZLQFLKVGTDC4JOWUD7WVCQ \
  | 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: dedd2cae055aaa698c5c4bad41fed51409267dff5a27621e21eb0c3e42a54aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6110ff0309347dc4e153eac06d1abb99be80a0b1ebd9829ee06bbf0fa1f15b68",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-11T10:27:11Z",
    "title_canon_sha256": "2cb2ffeb415344dd0772f55ed475593efa54e5b1a63b48046504517115bc8dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2408",
    "kind": "arxiv",
    "version": 2
  }
}