pith. sign in
Pith Number

pith:W6DQK3KH

pith:2009:W6DQK3KH77O2N3PONLJKFXDFAU
not attested not anchored not stored refs pending

The Lie Algebraic Significance of Symmetric Informationally Complete Measurements

Christopher A. Fuchs, D. M. Appleby, Steven T. Flammia

arxiv:1001.0004 v1 · 2009-12-31 · quant-ph · math-ph · math.CO · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W6DQK3KH77O2N3PONLJKFXDFAU}

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 2026-05-18T04:27:57.144927Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b787056d47ffdda6edee6ad2a2dc6505361c264b6dab0b24b33f642ddb9d3dbd

Aliases

arxiv: 1001.0004 · arxiv_version: 1001.0004v1 · doi: 10.48550/arxiv.1001.0004 · pith_short_12: W6DQK3KH77O2 · pith_short_16: W6DQK3KH77O2N3PO · pith_short_8: W6DQK3KH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W6DQK3KH77O2N3PONLJKFXDFAU \
  | 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: b787056d47ffdda6edee6ad2a2dc6505361c264b6dab0b24b33f642ddb9d3dbd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7986553d987f03b74443d47e6a5d05774158c7bcbc7a5965f06b05620fac280d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-31T10:39:31Z",
    "title_canon_sha256": "cfd88a6fa217688a31130a0155d5281a0512fce5e08487f0a65d5483e3ad6343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0004",
    "kind": "arxiv",
    "version": 1
  }
}