Pith Number

pith:EZITLC42

pith:2020:EZITLC42OXNAHRVX2GPTLVNOFR

not attested not anchored not stored refs pending

Exploiting Chain Rule and Bayes' Theorem to Compare Probability Distributions

Huangjie Zheng, Mingyuan Zhou

arxiv:2012.14100 v5 · 2020-12-28 · stat.ML · cs.LG · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZITLC42OXNAHRVX2GPTLVNOFR}

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	2026-07-05T03:25:11.832128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2651358b9a75da03c6b7d19f35d5ae2c5b74c1924fc6bc651b83aea0d7c2badb

Aliases

arxiv: 2012.14100 · arxiv_version: 2012.14100v5 · doi: 10.48550/arxiv.2012.14100 · pith_short_12: EZITLC42OXNA · pith_short_16: EZITLC42OXNAHRVX · pith_short_8: EZITLC42

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/EZITLC42OXNAHRVX2GPTLVNOFR \
  | 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: 2651358b9a75da03c6b7d19f35d5ae2c5b74c1924fc6bc651b83aea0d7c2badb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fca2b7ecfb375387b27d7aa1f0ad7d5c69dcb08446345a4bf1cdffe46dc0bc1",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-12-28T05:14:22Z",
    "title_canon_sha256": "b3ec6447e4d9e83655662a4e8321c5548f1640ee0aba1e74e5fa5682fdcdae76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14100",
    "kind": "arxiv",
    "version": 5
  }
}