Pith Number

pith:XGGPMXIE

pith:2009:XGGPMXIEXCU2HXS5BCRHL5GKKG

not attested not anchored not stored refs pending

Multi-Bloch Vector Representation of the Qutrit

Pawel Kurzynski

arxiv:0912.3155 v1 · 2009-12-16 · 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{XGGPMXIEXCU2HXS5BCRHL5GKKG}

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	2026-05-18T03:30:26.249371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98cf65d04b8a9a3de5d08a275f4ca51b4a02772286be18b86b67b688ae8174c

Aliases

arxiv: 0912.3155 · arxiv_version: 0912.3155v1 · doi: 10.48550/arxiv.0912.3155 · pith_short_12: XGGPMXIEXCU2 · pith_short_16: XGGPMXIEXCU2HXS5 · pith_short_8: XGGPMXIE

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/XGGPMXIEXCU2HXS5BCRHL5GKKG \
  | 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: b98cf65d04b8a9a3de5d08a275f4ca51b4a02772286be18b86b67b688ae8174c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe5ddf295a56f9f11cc52cf36888250a9183fedc3075f5f30599e11d1cfcc68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-16T14:47:53Z",
    "title_canon_sha256": "b8ba4c0c0cbaa39fb7355d3b396ccdf739c1adc9b554e6f23b8c283ab8558126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3155",
    "kind": "arxiv",
    "version": 1
  }
}