Pith Number

pith:GVTYJZKV

pith:2011:GVTYJZKVIXTCQV37SE7ZEWX4ZZ

not attested not anchored not stored refs pending

Entanglement and the three-dimensionality of the Bloch ball

David Perez-Garcia, Lluis Masanes, Markus P. Mueller, Remigiusz Augusiak

arxiv:1111.4060 v4 · 2011-11-17 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVTYJZKVIXTCQV37SE7ZEWX4ZZ}

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	2026-05-18T02:30:40.701468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356784e55545e628577f913f925afcce5ab09608f6feba8c9e3a2108f1ae8468

Aliases

arxiv: 1111.4060 · arxiv_version: 1111.4060v4 · doi: 10.48550/arxiv.1111.4060 · pith_short_12: GVTYJZKVIXTC · pith_short_16: GVTYJZKVIXTCQV37 · pith_short_8: GVTYJZKV

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/GVTYJZKVIXTCQV37SE7ZEWX4ZZ \
  | 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: 356784e55545e628577f913f925afcce5ab09608f6feba8c9e3a2108f1ae8468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b23dce19d1b9de16252539505efabcd595277b941cc0968ee8a5c51d057a232",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-17T11:35:12Z",
    "title_canon_sha256": "03d9f1ee258edb2e28a35e163d08372c3a8f9bc46c7685125f35aca6982d75fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4060",
    "kind": "arxiv",
    "version": 4
  }
}