Pith Number

pith:FCOVUTEQ

pith:2019:FCOVUTEQIJ36TJZC4RU5ETY4FK

not attested not anchored not stored refs pending

Rethinking Softmax with Cross-Entropy: Neural Network Classifier as Mutual Information Estimator

Dongwoo Kim, Tom Gedeon, Zhenyue Qin

arxiv:1911.10688 v4 · 2019-11-25 · cs.LG · cs.CV · 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{FCOVUTEQIJ36TJZC4RU5ETY4FK}

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	2026-07-05T01:35:57.332511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289d5a4c904277e9a722e469d24f1c2a91bcf25c2df39e288f8079c28eb13e1a

Aliases

arxiv: 1911.10688 · arxiv_version: 1911.10688v4 · doi: 10.48550/arxiv.1911.10688 · pith_short_12: FCOVUTEQIJ36 · pith_short_16: FCOVUTEQIJ36TJZC · pith_short_8: FCOVUTEQ

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/FCOVUTEQIJ36TJZC4RU5ETY4FK \
  | 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: 289d5a4c904277e9a722e469d24f1c2a91bcf25c2df39e288f8079c28eb13e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc72759e1577a5597905253880cb38f235fdf862bbc0ebd06c2a9f42170053b",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-11-25T03:44:34Z",
    "title_canon_sha256": "2b180213de3681d687dc1fd55cb33a498c55eca40688308dbc266ed2e16d51ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10688",
    "kind": "arxiv",
    "version": 4
  }
}