Pith Number

pith:XDPOOWCT

pith:2015:XDPOOWCT57Y2KW7BRTHIB3MWPM

not attested not anchored not stored refs pending

Efficient Empirical Bayes prediction under check loss using Asymptotic Risk Estimates

Gourab Mukherjee, Lawrence D. Brown, Paat Rusmevichientong

arxiv:1511.00028 v2 · 2015-10-30 · math.ST · stat.ME · 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{XDPOOWCT57Y2KW7BRTHIB3MWPM}

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	2026-05-18T01:12:00.288221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8dee75853eff1a55be18cce80ed967b05bb254427d17932c977d32110f5c048

Aliases

arxiv: 1511.00028 · arxiv_version: 1511.00028v2 · doi: 10.48550/arxiv.1511.00028 · pith_short_12: XDPOOWCT57Y2 · pith_short_16: XDPOOWCT57Y2KW7B · pith_short_8: XDPOOWCT

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/XDPOOWCT57Y2KW7BRTHIB3MWPM \
  | 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: b8dee75853eff1a55be18cce80ed967b05bb254427d17932c977d32110f5c048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b3c1844cf82df589a0e11724855510b20ceabe1399f2c9d74f13a914180d8b",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-30T20:57:45Z",
    "title_canon_sha256": "4eb5551d79ddf67c1d9d2f0a02c5cb47260964333b38cf54f715e4d04c31ea4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00028",
    "kind": "arxiv",
    "version": 2
  }
}