Pith Number

pith:YSXYRWOR

pith:2008:YSXYRWORIBC73ZEKXOPDQ7PDFM

not attested not anchored not stored refs pending

Estimating divergence functionals and the likelihood ratio by convex risk minimization

Martin J. Wainwright, Michael I. Jordan, XuanLong Nguyen

arxiv:0809.0853 v2 · 2008-09-04 · math.ST · cs.IT · math.IT · 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{YSXYRWORIBC73ZEKXOPDQ7PDFM}

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	2026-05-18T00:57:58.480252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4af88d9d14045fde48abb9e387de32b391a6939c8af7d66942e3e3a74007be6

Aliases

arxiv: 0809.0853 · arxiv_version: 0809.0853v2 · doi: 10.48550/arxiv.0809.0853 · pith_short_12: YSXYRWORIBC7 · pith_short_16: YSXYRWORIBC73ZEK · pith_short_8: YSXYRWOR

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/YSXYRWORIBC73ZEKXOPDQ7PDFM \
  | 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: c4af88d9d14045fde48abb9e387de32b391a6939c8af7d66942e3e3a74007be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcca8ea8b81535617af476996f058d481aaf8a4d18a23dc1ccf2e4eca40004c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-09-04T16:44:14Z",
    "title_canon_sha256": "2c550a1ddfd7281745405a73c73e6a3ca91234cd11e1fe5f9a261491ac820d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0853",
    "kind": "arxiv",
    "version": 2
  }
}