Pith Number

pith:7Y2OQKCU

pith:2025:7Y2OQKCUCDH2Q2IZHKZP6NQSB6

not attested not anchored not stored refs pending

Markov Missing Graph: A Graphical Approach for Missing Data Imputation

Yanjiao Yang, Yen-Chi Chen

arxiv:2509.03410 v1 · 2025-09-03 · stat.ME · math.ST · 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{7Y2OQKCUCDH2Q2IZHKZP6NQSB6}

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	2026-07-05T12:04:22.175267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe34e8285410cfa869193ab2ff36120f96cec6ed96f993ab42accfdcfb482614

Aliases

arxiv: 2509.03410 · arxiv_version: 2509.03410v1 · doi: 10.48550/arxiv.2509.03410 · pith_short_12: 7Y2OQKCUCDH2 · pith_short_16: 7Y2OQKCUCDH2Q2IZ · pith_short_8: 7Y2OQKCU

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/7Y2OQKCUCDH2Q2IZHKZP6NQSB6 \
  | 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: fe34e8285410cfa869193ab2ff36120f96cec6ed96f993ab42accfdcfb482614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9bbbb184b8b2b76953f5914f8a934e3dd1c2de796403c7bdaf4513044d52e8",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-09-03T15:38:36Z",
    "title_canon_sha256": "312b7d03da44849428de3ea3206c4c9c282b75832f6b70aace880b7354f381e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03410",
    "kind": "arxiv",
    "version": 1
  }
}