Pith Number

pith:ECFOXZ3T

pith:2018:ECFOXZ3T4LAN3W5H6LV4NHUPTS

not attested not anchored not stored refs pending

On Statistical Independence and No-Correlation for a Pair of Random Variables Taking Two Values: Classical and Quantum

Toru Ohira

arxiv:1804.09248 v3 · 2018-04-21 · quant-ph · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECFOXZ3T4LAN3W5H6LV4NHUPTS}

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	2026-05-18T00:02:44.950681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208aebe773e2c0dddba7f2ebc69e8f9c89f990e8bd1ed866cf1dc8d314dcb26a

Aliases

arxiv: 1804.09248 · arxiv_version: 1804.09248v3 · doi: 10.48550/arxiv.1804.09248 · pith_short_12: ECFOXZ3T4LAN · pith_short_16: ECFOXZ3T4LAN3W5H · pith_short_8: ECFOXZ3T

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/ECFOXZ3T4LAN3W5H6LV4NHUPTS \
  | 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: 208aebe773e2c0dddba7f2ebc69e8f9c89f990e8bd1ed866cf1dc8d314dcb26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52423dff43c79483ce5e22b021939f3cb199691096b3aaf0df51dc97a18591b8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-04-21T04:12:13Z",
    "title_canon_sha256": "5685d332d3fc1666068228a8f1edd67c9430b76dd55bfb312b80fd90783e8a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09248",
    "kind": "arxiv",
    "version": 3
  }
}