Pith Number

pith:NAAVTXAO

pith:2013:NAAVTXAOWXTW5K3P2XFEACYKTH

not attested not anchored not stored refs pending

Heisenberg uncertainty for qubit measurements

Paul Busch, Pekka Lahti, Reinhard F Werner

arxiv:1311.0837 v3 · 2013-11-04 · 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{NAAVTXAOWXTW5K3P2XFEACYKTH}

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	2026-05-18T03:00:25.553393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680159dc0eb5e76eab6fd5ca400b0a99d64feed95cf00f6ec3f6b1680e71922e

Aliases

arxiv: 1311.0837 · arxiv_version: 1311.0837v3 · doi: 10.48550/arxiv.1311.0837 · pith_short_12: NAAVTXAOWXTW · pith_short_16: NAAVTXAOWXTW5K3P · pith_short_8: NAAVTXAO

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/NAAVTXAOWXTW5K3P2XFEACYKTH \
  | 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: 680159dc0eb5e76eab6fd5ca400b0a99d64feed95cf00f6ec3f6b1680e71922e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8b4a2215feee5706957da40e4cd3394bcb4e19577e122e2f5ee4214f6c8944",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-04T20:27:33Z",
    "title_canon_sha256": "e6b9c34c26608d68a4e5c1cc28ba92fea58633ae5058864a5cbcd6fdbbc617ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0837",
    "kind": "arxiv",
    "version": 3
  }
}