Pith Number

pith:O2RZRBNQ

pith:2011:O2RZRBNQHWUH7VY5FHOQA4KBQN

not attested not anchored not stored refs pending

A Sequence of Qubit-Qudit Pauli Groups as a Nested Structure of Doilies

Metod Saniga, Michel Planat

arxiv:1102.3281 v2 · 2011-02-16 · quant-ph · math-ph · math.CO · 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{O2RZRBNQHWUH7VY5FHOQA4KBQN}

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	2026-05-18T04:23:02.327193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a39885b03da87fd71d29dd007141835c15848acc448ba7d546de8dff360c41

Aliases

arxiv: 1102.3281 · arxiv_version: 1102.3281v2 · doi: 10.48550/arxiv.1102.3281 · pith_short_12: O2RZRBNQHWUH · pith_short_16: O2RZRBNQHWUH7VY5 · pith_short_8: O2RZRBNQ

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/O2RZRBNQHWUH7VY5FHOQA4KBQN \
  | 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: 76a39885b03da87fd71d29dd007141835c15848acc448ba7d546de8dff360c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e5b29dfb01e9286778cfd107d6991b4ef6b14022c1befebb489b5d4d71a35a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-16T10:02:16Z",
    "title_canon_sha256": "7143e51807dc36ef14de91d746cfc6129528e19683eb4f9217d769aae427cc3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3281",
    "kind": "arxiv",
    "version": 2
  }
}