Pith Number

pith:XADNDGCD

pith:2013:XADNDGCDMFDHVDXQW6XAU7U5NZ

not attested not anchored not stored refs pending

A geometrical relation between symmetric operators and mutually unbiased operators

Amir Kalev

arxiv:1305.6044 v1 · 2013-05-26 · 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{XADNDGCDMFDHVDXQW6XAU7U5NZ}

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	2026-05-18T03:24:53.094378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b806d1984361467a8ef0b7ae0a7e9d6e43d5f5ab47dd596e0957a69ebb7958dd

Aliases

arxiv: 1305.6044 · arxiv_version: 1305.6044v1 · doi: 10.48550/arxiv.1305.6044 · pith_short_12: XADNDGCDMFDH · pith_short_16: XADNDGCDMFDHVDXQ · pith_short_8: XADNDGCD

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/XADNDGCDMFDHVDXQW6XAU7U5NZ \
  | 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: b806d1984361467a8ef0b7ae0a7e9d6e43d5f5ab47dd596e0957a69ebb7958dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c6d9e87b002332bbb4a7c7c023430f068259c12515f975fbc327639ff66276",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-26T17:39:08Z",
    "title_canon_sha256": "698833e375ac2ec6281de6b0060044352eb89fb2a4dbb97d8bafbddd014a2143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6044",
    "kind": "arxiv",
    "version": 1
  }
}