Pith Number

pith:OWI3QPVE

pith:2009:OWI3QPVETG4VKUWGTL5S6J7RJO

not attested not anchored not stored refs pending

Properties of the extended Clifford group with applications to SIC-POVMs and MUBs

D.M.Appleby

arxiv:0909.5233 v1 · 2009-09-28 · 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{OWI3QPVETG4VKUWGTL5S6J7RJO}

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

1 paper in Pith

A Constructive Approach to Zauner's Conjecture via the Stark Conjectures

Receipt and verification

First computed	2026-07-04T15:53:16.338777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7591b83ea499b95552c69afb2f27f14b8e9730a37ff53f2a9f571e6f7ea7fbd7

Aliases

arxiv: 0909.5233 · arxiv_version: 0909.5233v1 · doi: 10.48550/arxiv.0909.5233 · pith_short_12: OWI3QPVETG4V · pith_short_16: OWI3QPVETG4VKUWG · pith_short_8: OWI3QPVE

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/OWI3QPVETG4VKUWGTL5S6J7RJO \
  | 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: 7591b83ea499b95552c69afb2f27f14b8e9730a37ff53f2a9f571e6f7ea7fbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64da119bc010cd24c408d0c0e03d8651a682d18e30fb86ad84bf8c6203d5224e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-28T23:03:38Z",
    "title_canon_sha256": "8597521fd402fe80d424fa4f0888ff9b2fd85b3ff8565c035d420914a06779ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5233",
    "kind": "arxiv",
    "version": 1
  }
}