Pith Number

pith:W4FXPQ6X

pith:2016:W4FXPQ6XW5VE53AGHWIYP2PY5A

not attested not anchored not stored refs pending

Maximally symmetric stabilizer MUBs in even prime-power dimensions

Alessandro Toigo, Claudio Carmeli, Jussi Schultz

arxiv:1610.01372 v1 · 2016-10-05 · math-ph · math.MP · 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{W4FXPQ6XW5VE53AGHWIYP2PY5A}

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	2026-05-18T00:43:39.609280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70b77c3d7b76a4eec063d9187e9f8e83fb4a22334c87a7b561a55a58a8af908

Aliases

arxiv: 1610.01372 · arxiv_version: 1610.01372v1 · doi: 10.48550/arxiv.1610.01372 · pith_short_12: W4FXPQ6XW5VE · pith_short_16: W4FXPQ6XW5VE53AG · pith_short_8: W4FXPQ6X

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/W4FXPQ6XW5VE53AGHWIYP2PY5A \
  | 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: b70b77c3d7b76a4eec063d9187e9f8e83fb4a22334c87a7b561a55a58a8af908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a675093afc1fa7a80a72630d22283dfdab8368f74be4d189bac42a63ea4419",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-05T11:42:48Z",
    "title_canon_sha256": "bb273c1e072d9789738d8c09a1c01fe0c2796ae2c709581b6e0ddbeb1a5349b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01372",
    "kind": "arxiv",
    "version": 1
  }
}