Pith Number

pith:I27TIL7D

pith:2012:I27TIL7DLIFMC4FSVRUC7J4IV7

not attested not anchored not stored refs pending

Independence Test for High Dimensional Random Vectors

G. M. Pan, J. Gao, M. Guo, Y. Yang

arxiv:1205.6607 v1 · 2012-05-30 · 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{I27TIL7DLIFMC4FSVRUC7J4IV7}

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	2026-05-18T03:54:38.436205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46bf342fe35a0ac170b2ac682fa788aff90e07518923d29fba9d9f06c5f7aaa4

Aliases

arxiv: 1205.6607 · arxiv_version: 1205.6607v1 · doi: 10.48550/arxiv.1205.6607 · pith_short_12: I27TIL7DLIFM · pith_short_16: I27TIL7DLIFMC4FS · pith_short_8: I27TIL7D

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/I27TIL7DLIFMC4FSVRUC7J4IV7 \
  | 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: 46bf342fe35a0ac170b2ac682fa788aff90e07518923d29fba9d9f06c5f7aaa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca44ef92910b46b2fd97e34d2ec8ecb941a2f774492ca719d17c938ca1260ae0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-30T09:47:53Z",
    "title_canon_sha256": "50b7b3f3305865681f9ebbde96829a6c3a0acd7085c98f1c6be15f882649ff8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6607",
    "kind": "arxiv",
    "version": 1
  }
}