Pith Number

pith:P2HJO5IY

pith:2023:P2HJO5IYN4PL27DO35AMENIJYC

not attested not anchored not stored refs pending

The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems

Rahul Sarkar, Theodore J. Yoder

arxiv:2302.07966 v2 · 2023-02-15 · quant-ph · math-ph · math.AC · 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{P2HJO5IYN4PL27DO35AMENIJYC}

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	2026-07-05T08:05:47.909269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e8e9775186f1ebd7c6edf40c23509c09394404b660cc97cfa98e7c197f88d6d

Aliases

arxiv: 2302.07966 · arxiv_version: 2302.07966v2 · doi: 10.48550/arxiv.2302.07966 · pith_short_12: P2HJO5IYN4PL · pith_short_16: P2HJO5IYN4PL27DO · pith_short_8: P2HJO5IY

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/P2HJO5IYN4PL27DO35AMENIJYC \
  | 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: 7e8e9775186f1ebd7c6edf40c23509c09394404b660cc97cfa98e7c197f88d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabdfc0d8818bf4a007fe16fcaeb996cc2422b6163a88f63d0dc852f568f555a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AC",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-02-15T22:06:40Z",
    "title_canon_sha256": "b9bc8a1134957b959d47e34ef29f94a5450a3eb885346089a8b21aa4b5a9d8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07966",
    "kind": "arxiv",
    "version": 2
  }
}