Pith Number

pith:TYFRP7FT

pith:2005:TYFRP7FT6NO75WLNK2IRAKAHMM

not attested not anchored not stored refs pending

A concise guide to complex Hadamard matrices

Karol Zyczkowski, Wojciech Tadej

arxiv:quant-ph/0512154 v2 · 2005-12-19 · quant-ph · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYFRP7FT6NO75WLNK2IRAKAHMM}

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.

Cited by

2 papers in Pith

Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17

Receipt and verification

First computed	2026-07-04T14:52:24.495931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0b17fcb3f35dfed96d56911028076311c24ff12be8532a0dd1fbe32a707628

Aliases

arxiv: quant-ph/0512154 · arxiv_version: quant-ph/0512154v2 · doi: 10.48550/arxiv.quant-ph/0512154 · pith_short_12: TYFRP7FT6NO7 · pith_short_16: TYFRP7FT6NO75WLN · pith_short_8: TYFRP7FT

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/TYFRP7FT6NO75WLNK2IRAKAHMM \
  | 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: 9e0b17fcb3f35dfed96d56911028076311c24ff12be8532a0dd1fbe32a707628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9dcd534b1785642297ed02f6ca9e98fe955204366215a95c5822b299c10909c",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-12-19T11:24:19Z",
    "title_canon_sha256": "bd83142c34dd5edc37f8d8a2b94d575f50493854b19112991080439ddcc768d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0512154",
    "kind": "arxiv",
    "version": 2
  }
}