Pith Number

pith:FCU6E57U

pith:2026:FCU6E57UBYBXSNBUDKD7XP4MMV

not attested not anchored not stored refs pending

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects

Bing Li, Lingzhou Xue, Wenxi Tan

arxiv:2607.28981 v1 · 2026-07-31 · stat.ME · econ.EM · math.ST · stat.AP · stat.ML · 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{FCU6E57UBYBXSNBUDKD7XP4MMV}

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	2026-08-03T01:17:51.302105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a9e277f40e037934341a87fbbf8c6548b3af5c42053df4c5f0a2d650f96085

Aliases

arxiv: 2607.28981 · arxiv_version: 2607.28981v1 · doi: 10.48550/arxiv.2607.28981 · pith_short_12: FCU6E57UBYBX · pith_short_16: FCU6E57UBYBXSNBU · pith_short_8: FCU6E57U

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/FCU6E57UBYBXSNBUDKD7XP4MMV \
  | 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: 28a9e277f40e037934341a87fbbf8c6548b3af5c42053df4c5f0a2d650f96085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706b7df734f8c5cbc19da969aacafb40e8b2c037af911184c566b8c4785c7088",
    "cross_cats_sorted": [
      "econ.EM",
      "math.ST",
      "stat.AP",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-31T03:12:47Z",
    "title_canon_sha256": "2e560b63f09f2d4edeffeb5ae106537bba69a601fbb73d9dbe6d46d253301b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28981",
    "kind": "arxiv",
    "version": 1
  }
}