Pith Number

pith:HOQC7MZ2

pith:2007:HOQC7MZ2QAQ7CTAROSQFU3V4BU

not attested not anchored not stored refs pending

Defect of a unitary matrix

Karol Zyczkowski, Wojciech Tadej

arxiv:math/0702510 v2 · 2007-02-17 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOQC7MZ2QAQ7CTAROSQFU3V4BU}

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	2026-05-18T04:35:06.101839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba02fb33a8021f14c1174a05a6ebc0d0ac44eec7b0d20cf666a207b4c018201

Aliases

arxiv: math/0702510 · arxiv_version: math/0702510v2 · doi: 10.48550/arxiv.math/0702510 · pith_short_12: HOQC7MZ2QAQ7 · pith_short_16: HOQC7MZ2QAQ7CTAR · pith_short_8: HOQC7MZ2

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/HOQC7MZ2QAQ7CTAROSQFU3V4BU \
  | 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: 3ba02fb33a8021f14c1174a05a6ebc0d0ac44eec7b0d20cf666a207b4c018201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9efdcca5563591d3ac0c7b0cdf940732c69bc202e28b6b3f06dcf7c5a828bb",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-02-17T10:33:53Z",
    "title_canon_sha256": "91dbcf132f152bd5504fefd8f6690ecf1903bc16f3f71d1005d9fbc976f09973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702510",
    "kind": "arxiv",
    "version": 2
  }
}