Pith Number

pith:QB52ZWGE

pith:2018:QB52ZWGE5LGYAFNSN4HJXWV4WT

not attested not anchored not stored refs pending

The Birkhoff theorem for unitary matrices of prime-power dimension

Alexis De Vos, Stijn De Baerdemacker

arxiv:1812.08833 v1 · 2018-12-20 · 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{QB52ZWGE5LGYAFNSN4HJXWV4WT}

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	2026-05-17T23:57:46.154947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807bacd8c4eacd8015b26f0e9bdabcb4ff8814af7a5978f0927ee04b90e46f97

Aliases

arxiv: 1812.08833 · arxiv_version: 1812.08833v1 · doi: 10.48550/arxiv.1812.08833 · pith_short_12: QB52ZWGE5LGY · pith_short_16: QB52ZWGE5LGYAFNS · pith_short_8: QB52ZWGE

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/QB52ZWGE5LGYAFNSN4HJXWV4WT \
  | 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: 807bacd8c4eacd8015b26f0e9bdabcb4ff8814af7a5978f0927ee04b90e46f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff2801c988f05a5280dfb38828993db972da825c84ff572bb2fe2cc7168e1b8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-20T20:37:19Z",
    "title_canon_sha256": "fac8cd8d50f24c84e5191872664abb43d91555f05f2869d47fc9322d2e7e06b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08833",
    "kind": "arxiv",
    "version": 1
  }
}