Pith Number

pith:IX54S3NR

pith:2016:IX54S3NRMQEUSWHH6OAJDCJMGQ

not attested not anchored not stored refs pending

An efficient and doubly robust empirical likelihood approach for estimating equations with missing data

Aiyi Liu, Tianqing Liu, Xiaohui Yuan, Zhaohai Li

arxiv:1612.00922 v1 · 2016-12-03 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX54S3NRMQEUSWHH6OAJDCJMGQ}

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	2026-05-18T00:55:53.821645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fbc96db164094958e7f38091892c341b51af2f431d05d91b8428c9d8cc3ada

Aliases

arxiv: 1612.00922 · arxiv_version: 1612.00922v1 · doi: 10.48550/arxiv.1612.00922 · pith_short_12: IX54S3NRMQEU · pith_short_16: IX54S3NRMQEUSWHH · pith_short_8: IX54S3NR

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/IX54S3NRMQEUSWHH6OAJDCJMGQ \
  | 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: 45fbc96db164094958e7f38091892c341b51af2f431d05d91b8428c9d8cc3ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ea24f96dde4f8a6c96e6a767677ff640e70d822f7047c6c57539a8d7f7636e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-12-03T04:50:22Z",
    "title_canon_sha256": "0fda3830a244c73a2ced79500ddc854596c3898f8d998c7fe66f876739b8723e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00922",
    "kind": "arxiv",
    "version": 1
  }
}