Pith Number

pith:XBLKG2D7

pith:2017:XBLKG2D7DXCB6WQAHGP4GCOMZL

not attested not anchored not stored refs pending

Conditional Independence, Conditional Mean Independence, and Zero Conditional Covariance

Rajeshwari Majumdar

arxiv:1707.04802 v2 · 2017-07-16 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBLKG2D7DXCB6WQAHGP4GCOMZL}

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	2026-05-18T00:32:20.307769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b856a3687f1dc41f5a00399fc309cccad28a490c019ddd90df1191a8b5724aa3

Aliases

arxiv: 1707.04802 · arxiv_version: 1707.04802v2 · doi: 10.48550/arxiv.1707.04802 · pith_short_12: XBLKG2D7DXCB · pith_short_16: XBLKG2D7DXCB6WQA · pith_short_8: XBLKG2D7

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/XBLKG2D7DXCB6WQAHGP4GCOMZL \
  | 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: b856a3687f1dc41f5a00399fc309cccad28a490c019ddd90df1191a8b5724aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445dc6c33470f2b0c8c7882f9d0e5e1185aa36555456e5693457e6aecfd905f0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-07-16T00:09:02Z",
    "title_canon_sha256": "f3bdd15469d3bcd38f3540ff92ed849333aaa536b58770186b128f996af39a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04802",
    "kind": "arxiv",
    "version": 2
  }
}