Pith Number

pith:Z4CVYEF3

pith:2013:Z4CVYEF3O2NUFZGPUKCJHOL3NX

not attested not anchored not stored refs pending

Quantum root-mean-square error and measurement uncertainty relations

Paul Busch, Pekka Lahti, Reinhard F Werner

arxiv:1312.4393 v2 · 2013-12-16 · 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{Z4CVYEF3O2NUFZGPUKCJHOL3NX}

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	2026-05-18T02:30:40.454822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf055c10bb769b42e4cfa28493b97b6dc312565f104c781a74c33571a1a2d171

Aliases

arxiv: 1312.4393 · arxiv_version: 1312.4393v2 · doi: 10.48550/arxiv.1312.4393 · pith_short_12: Z4CVYEF3O2NU · pith_short_16: Z4CVYEF3O2NUFZGP · pith_short_8: Z4CVYEF3

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/Z4CVYEF3O2NUFZGPUKCJHOL3NX \
  | 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: cf055c10bb769b42e4cfa28493b97b6dc312565f104c781a74c33571a1a2d171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55a735c78c05d658431cd1c08535c67bf3bd5c702993b505b1ea3c615a20b4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-16T15:07:04Z",
    "title_canon_sha256": "df49913f2c5d053aad093e0daf1c8e8d1b690179c88fc2b54958121e7d137c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4393",
    "kind": "arxiv",
    "version": 2
  }
}