Pith Number

pith:LCDAFFDP

pith:2020:LCDAFFDPM6JM5ERTDIJDLGBRPL

not attested not anchored not stored refs pending

CLUB: A Contrastive Log-ratio Upper Bound of Mutual Information

Jiachang Liu, Lawrence Carin, Pengyu Cheng, Shuyang Dai, Weituo Hao, Zhe Gan

arxiv:2006.12013 v6 · 2020-06-22 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCDAFFDPM6JM5ERTDIJDLGBRPL}

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	2026-07-05T01:21:48.986695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588602946f6792ce92331a123598317af6f8c47972f38412b1e4ed6dbd3fe596

Aliases

arxiv: 2006.12013 · arxiv_version: 2006.12013v6 · doi: 10.48550/arxiv.2006.12013 · pith_short_12: LCDAFFDPM6JM · pith_short_16: LCDAFFDPM6JM5ERT · pith_short_8: LCDAFFDP

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/LCDAFFDPM6JM5ERTDIJDLGBRPL \
  | 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: 588602946f6792ce92331a123598317af6f8c47972f38412b1e4ed6dbd3fe596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992b4471383db32aef8336228a3c1cdc10fad65ba92a583bc1ab990b8469edba",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-22T05:36:16Z",
    "title_canon_sha256": "f182ee6432b4b1ce65c048b44bcf299270d81bb5fe6d6f4eb4cfd4fe12eaac2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12013",
    "kind": "arxiv",
    "version": 6
  }
}