Pith Number

pith:IDU7FW73

pith:2013:IDU7FW73EZROVDO6O54YNW7ONR

not attested not anchored not stored refs pending

Commutant structuture of Ux...xUxU* transformations

Marek Mozrzymas, Micha{\l} Horodecki, Micha{\l} Studzi\'nski

arxiv:1305.6183 v2 · 2013-05-27 · quant-ph · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDU7FW73EZROVDO6O54YNW7ONR}

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	2026-05-18T03:14:06.714845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e9f2dbfb2662ea8dde777986dbee6c480c2afcb608186957f90d2787057efa

Aliases

arxiv: 1305.6183 · arxiv_version: 1305.6183v2 · doi: 10.48550/arxiv.1305.6183 · pith_short_12: IDU7FW73EZRO · pith_short_16: IDU7FW73EZROVDO6 · pith_short_8: IDU7FW73

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/IDU7FW73EZROVDO6O54YNW7ONR \
  | 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: 40e9f2dbfb2662ea8dde777986dbee6c480c2afcb608186957f90d2787057efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9077107aba77a9cc43dc6be7b1c1a9eb91efd362b19eec56299325e3669489",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-27T11:40:17Z",
    "title_canon_sha256": "6e2e5e57402c1498861a291a5fe84e07d765293980f88cca47a0cdf499de7c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6183",
    "kind": "arxiv",
    "version": 2
  }
}