Pith Number

pith:7FH2NJVJ

pith:2022:7FH2NJVJZFSTSWDIFHC7KRV37U

not attested not anchored not stored refs pending

Unified Perspective on Probability Divergence via Maximum Likelihood Density Ratio Estimation: Bridging KL-Divergence and Integral Probability Metrics

Kentaro Minami, Masaaki Imaizumi, Masahiro Kato

arxiv:2201.13127 v1 · 2022-01-31 · cs.LG · cs.AI · 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{7FH2NJVJZFSTSWDIFHC7KRV37U}

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	2026-07-05T03:52:42.708891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94fa6a6a9c96539586829c5f546bbfd1d9f154caecc48497f8c8d1c2a3153cc

Aliases

arxiv: 2201.13127 · arxiv_version: 2201.13127v1 · doi: 10.48550/arxiv.2201.13127 · pith_short_12: 7FH2NJVJZFST · pith_short_16: 7FH2NJVJZFSTSWDI · pith_short_8: 7FH2NJVJ

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/7FH2NJVJZFSTSWDIFHC7KRV37U \
  | 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: f94fa6a6a9c96539586829c5f546bbfd1d9f154caecc48497f8c8d1c2a3153cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c5042fc07004174d8df1eb742fc88185be88f3ad238e8a09a55181e2fa6699",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-01-31T11:15:04Z",
    "title_canon_sha256": "e2b0f70d8cf88a101f62d1246496c723f38e6606283159ebdfe774cc87e0be31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.13127",
    "kind": "arxiv",
    "version": 1
  }
}