Pith Number

pith:MB6SW6MA

pith:2019:MB6SW6MAGXB2ZBZH3PTEQCS5E2

not attested not anchored not stored refs pending

A New Lower Bound for Kullback-Leibler Divergence Based on Hammersley-Chapman-Robbins Bound

Tomohiro Nishiyama

arxiv:1907.00288 v3 · 2019-06-29 · math.ST · cs.IT · math.IT · 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{MB6SW6MAGXB2ZBZH3PTEQCS5E2}

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.

Cited by

1 paper in Pith

Causal Covariate Shift Correction using Fisher information penalty

Receipt and verification

First computed	2026-07-05T00:16:35.533073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607d2b798035c3ac8727dbe6480a5d2682df936dd3716e837511bd4de3b3f847

Aliases

arxiv: 1907.00288 · arxiv_version: 1907.00288v3 · doi: 10.48550/arxiv.1907.00288 · pith_short_12: MB6SW6MAGXB2 · pith_short_16: MB6SW6MAGXB2ZBZH · pith_short_8: MB6SW6MA

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/MB6SW6MAGXB2ZBZH3PTEQCS5E2 \
  | 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: 607d2b798035c3ac8727dbe6480a5d2682df936dd3716e837511bd4de3b3f847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936fcdc2fd6be4898d3dafeb2f42a6fae60ae9cd9ba1de7d2737e2059f59701b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-06-29T22:30:03Z",
    "title_canon_sha256": "0b5d54ea6b36434133d0657858a664df32c7d4aa97f9d7e7e4e9bd70cc1adfcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00288",
    "kind": "arxiv",
    "version": 3
  }
}