Pith Number

pith:4MUPWT4Q

pith:2016:4MUPWT4QC3CXYNUTPRIQ2DG3MB

not attested not anchored not stored refs pending

Sharp uncertainty relations for number and angle

Jukka Kiukas, Paul Busch, Reinhard F. Werner

arxiv:1604.00566 v2 · 2016-04-02 · 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{4MUPWT4QC3CXYNUTPRIQ2DG3MB}

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	2026-05-18T00:19:42.843331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e328fb4f9016c57c36937c510d0cdb60610f27b1adfd57b0eb436a3d0eb9d6fc

Aliases

arxiv: 1604.00566 · arxiv_version: 1604.00566v2 · doi: 10.48550/arxiv.1604.00566 · pith_short_12: 4MUPWT4QC3CX · pith_short_16: 4MUPWT4QC3CXYNUT · pith_short_8: 4MUPWT4Q

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/4MUPWT4QC3CXYNUTPRIQ2DG3MB \
  | 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: e328fb4f9016c57c36937c510d0cdb60610f27b1adfd57b0eb436a3d0eb9d6fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05392610238eb27a405986b8679f9a850cd9eb943f0b74b34c3faa695fc3fc61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-02T22:26:42Z",
    "title_canon_sha256": "2ccd6adf807a4c42d6a587fe6b50f8155ad3aa4116736c23c14395a01d8ec658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00566",
    "kind": "arxiv",
    "version": 2
  }
}