Pith Number

pith:7U7OP5WV

pith:2006:7U7OP5WVPAGJZVY3RDCOOIWWH2

not attested not anchored not stored refs pending

Mubs and Hadamards of Order Six

Asa Ericsson, Ingemar Bengtsson, Jan-{\AA}ke Larsson, Karol Zyczkowski, Wojciech Bruzda, Wojciech Tadej

arxiv:quant-ph/0610161 v3 · 2006-10-19 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U7OP5WVPAGJZVY3RDCOOIWWH2}

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	2026-07-05T04:05:26.856794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3ee7f6d5780c9cd71b88c4e722d63e9187c9925fd14df836d1763781983ed1

Aliases

arxiv: quant-ph/0610161 · arxiv_version: quant-ph/0610161v3 · doi: 10.48550/arxiv.quant-ph/0610161 · pith_short_12: 7U7OP5WVPAGJ · pith_short_16: 7U7OP5WVPAGJZVY3 · pith_short_8: 7U7OP5WV

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/7U7OP5WVPAGJZVY3RDCOOIWWH2 \
  | 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: fd3ee7f6d5780c9cd71b88c4e722d63e9187c9925fd14df836d1763781983ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b01ca9390efffc7e2dff02c63c17b15fab83848cf86ec43214310ebf5a84ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-19T14:38:53Z",
    "title_canon_sha256": "c27072499e68efe5beaaeea43dcbdd5f6a221019d47cb61ae73aed49763178b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610161",
    "kind": "arxiv",
    "version": 3
  }
}