Pith Number

pith:TXZHSJZX

pith:2019:TXZHSJZXVHBD5QLQMXHO7AOBS2

not attested not anchored not stored refs pending

Real Entries of Complex Hadamard Matrices and Mutually Unbiased Bases in Dimension Six

Lin Chen, Mengfan Liang, Mengyao Hu, Yize Sun

arxiv:1904.10181 v1 · 2019-04-23 · 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{TXZHSJZXVHBD5QLQMXHO7AOBS2}

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	2026-05-17T23:47:54.894613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df2792737a9c23ec17065ceef81c196824eea4407297397d1f7676856129dd0

Aliases

arxiv: 1904.10181 · arxiv_version: 1904.10181v1 · doi: 10.48550/arxiv.1904.10181 · pith_short_12: TXZHSJZXVHBD · pith_short_16: TXZHSJZXVHBD5QLQ · pith_short_8: TXZHSJZX

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/TXZHSJZXVHBD5QLQMXHO7AOBS2 \
  | 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: 9df2792737a9c23ec17065ceef81c196824eea4407297397d1f7676856129dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f3c12d2a9df6423a71a6a6a19b59be5d5da8ed69ca4d0b4ea6f24e3e4bb9c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-23T07:14:57Z",
    "title_canon_sha256": "997ce8c9a89803242d7b9448181315b1b42182e49a7ff1d8b5e5df2c8b97fc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10181",
    "kind": "arxiv",
    "version": 1
  }
}