Pith Number

pith:HBI76YCG

pith:2011:HBI76YCGDMSET4OFG3SQXPALIU

not attested not anchored not stored refs pending

Modified estimator of the contribution rates of population eigenvalues

Yo Sheena

arxiv:1104.1019 v3 · 2011-04-06 · 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{HBI76YCGDMSET4OFG3SQXPALIU}

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	2026-05-18T03:59:38.303714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3851ff60461b2449f1c536e50bbc0b452af75bbdc29acd1aa7779d6a9b33d28c

Aliases

arxiv: 1104.1019 · arxiv_version: 1104.1019v3 · doi: 10.48550/arxiv.1104.1019 · pith_short_12: HBI76YCGDMSE · pith_short_16: HBI76YCGDMSET4OF · pith_short_8: HBI76YCG

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/HBI76YCGDMSET4OFG3SQXPALIU \
  | 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: 3851ff60461b2449f1c536e50bbc0b452af75bbdc29acd1aa7779d6a9b33d28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faee435609d747b07ee05feb61cced96e74f2ef8b31e1b26d63de7cac4f5b9fd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-04-06T07:09:02Z",
    "title_canon_sha256": "8fbdf03064a5ad42755442bdeab1abb6e6817b19e067f8dcbb41a922a69f9fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1019",
    "kind": "arxiv",
    "version": 3
  }
}