Pith Number

pith:5JPZXKEI

pith:2012:5JPZXKEIDZUQPRG2VH4GLFABRB

not attested not anchored not stored refs pending

Optimal Uncertainty Relations for Extremely Coarse-grained Measurements

Fabricio Toscano, {\L}ukasz Rudnicki, Stephen P. Walborn

arxiv:1204.5170 v1 · 2012-04-21 · 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{5JPZXKEIDZUQPRG2VH4GLFABRB}

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	2026-05-18T03:41:40.340106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5f9ba8881e6907c4daa9f86594018859e1c54372f11b3411ccc491097869e1

Aliases

arxiv: 1204.5170 · arxiv_version: 1204.5170v1 · doi: 10.48550/arxiv.1204.5170 · pith_short_12: 5JPZXKEIDZUQ · pith_short_16: 5JPZXKEIDZUQPRG2 · pith_short_8: 5JPZXKEI

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/5JPZXKEIDZUQPRG2VH4GLFABRB \
  | 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: ea5f9ba8881e6907c4daa9f86594018859e1c54372f11b3411ccc491097869e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06703d0ad582f3bba0adc4dc8dbf28005699cfe64bd4a38a2480db10768197ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-21T06:49:55Z",
    "title_canon_sha256": "508c717ea9768fa20ec43708964922a9ba496a7268b910e7c6274295703f289e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5170",
    "kind": "arxiv",
    "version": 1
  }
}