Pith Number

pith:Y5QQOWQF

pith:2021:Y5QQOWQFHRLH6OXMGD45WM7YBW

not attested not anchored not stored refs pending

Tight Mutual Information Estimation With Contrastive Fenchel-Legendre Optimization

Chenyang Tao, Dong Wang, Fan Li, Jing Huang, Junya Chen, Lawrence Carin, Qing Guo, Xinwei Deng, Yuewei Yang

arxiv:2107.01131 v3 · 2021-07-02 · stat.ML · cs.AI · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5QQOWQFHRLH6OXMGD45WM7YBW}

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	2026-07-05T05:09:12.423547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c761075a053c567f3aec30f9db33f80d98e947575142001b753c23afa3066bee

Aliases

arxiv: 2107.01131 · arxiv_version: 2107.01131v3 · doi: 10.48550/arxiv.2107.01131 · pith_short_12: Y5QQOWQFHRLH · pith_short_16: Y5QQOWQFHRLH6OXM · pith_short_8: Y5QQOWQF

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/Y5QQOWQFHRLH6OXMGD45WM7YBW \
  | 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: c761075a053c567f3aec30f9db33f80d98e947575142001b753c23afa3066bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d6c1617c0d72fb31ab566e28b3d84498141896419b501559dfe4a75846398f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-07-02T15:20:41Z",
    "title_canon_sha256": "2787df738aa3a40626e52c68075ab9bc358f921816f33d72e9d0aef4bb22919b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01131",
    "kind": "arxiv",
    "version": 3
  }
}