Pith Number

pith:BFQMLEQG

pith:2013:BFQMLEQGPQXLWSSLSIGUHKJVBO

not attested not anchored not stored refs pending

Random unitary matrices associated to a graph

Karol \.Zyczkowski, Pawe{\l} Kondratiuk

arxiv:1311.3585 v1 · 2013-11-14 · quant-ph · math-ph · 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{BFQMLEQGPQXLWSSLSIGUHKJVBO}

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	2026-05-18T03:03:31.628256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0960c592067c2ebb4a4b920d43a9350baa4cfca9c488c6ed65f8b3ba74ef2aaa

Aliases

arxiv: 1311.3585 · arxiv_version: 1311.3585v1 · doi: 10.48550/arxiv.1311.3585 · pith_short_12: BFQMLEQGPQXL · pith_short_16: BFQMLEQGPQXLWSSL · pith_short_8: BFQMLEQG

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/BFQMLEQGPQXLWSSLSIGUHKJVBO \
  | 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: 0960c592067c2ebb4a4b920d43a9350baa4cfca9c488c6ed65f8b3ba74ef2aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e13498d81ea7abeeef442eb6796246be30efe927bea6a974e059f3434a354e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-14T17:23:30Z",
    "title_canon_sha256": "02d0008286311698e4baa5f7a518dbf165bb7c698735b815cc62dbf6d8b29f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3585",
    "kind": "arxiv",
    "version": 1
  }
}