Pith Number

pith:VFIKX3JR

pith:2013:VFIKX3JRVC4UKXYN3QHBG25LY3

not attested not anchored not stored refs pending

On pure quasi quantum quadratic operators of M_2(C)

Abduaziz Abduganiev, Farrukh Mukhamedov

arxiv:1306.2403 v1 · 2013-06-11 · math.DS · math.FA · 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{VFIKX3JRVC4UKXYN3QHBG25LY3}

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	2026-05-18T02:27:49.614670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a950abed31a8b9455f0ddc0e136babc6eb094849a2040cba07ef5ab060518065

Aliases

arxiv: 1306.2403 · arxiv_version: 1306.2403v1 · doi: 10.48550/arxiv.1306.2403 · pith_short_12: VFIKX3JRVC4U · pith_short_16: VFIKX3JRVC4UKXYN · pith_short_8: VFIKX3JR

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/VFIKX3JRVC4UKXYN3QHBG25LY3 \
  | 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: a950abed31a8b9455f0ddc0e136babc6eb094849a2040cba07ef5ab060518065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17fa029bc629bcc89398ad5c8553bbb98dfe69415a8fef30b13f3a902108282c",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-11T02:00:32Z",
    "title_canon_sha256": "ffa9ed8b14fcb11601c353311189c57f5006da0ecad20bc8214a2adad737eaff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2403",
    "kind": "arxiv",
    "version": 1
  }
}