Pith Number

pith:4N7WJ5UI

pith:2017:4N7WJ5UIPGWHWXAMVJSRDYUDYI

not attested not anchored not stored refs pending

On the Properties of the Softmax Function with Application in Game Theory and Reinforcement Learning

Bolin Gao, Lacra Pavel

arxiv:1704.00805 v4 · 2017-04-03 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N7WJ5UIPGWHWXAMVJSRDYUDYI}

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.

Cited by

12 papers in Pith

Neural Policy Composition from Free Energy Minimization

Learning Empirical Evidence Equilibria under Weak Environmental Coupling

Sharp Spectral Thresholds for Logit Fixed Points

Learning Empirical Evidence Equilibria under Weak Environmental Coupling

Informative Graph Structure Learning

Receipt and verification

First computed	2026-05-18T00:07:33.212109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37f64f68879ac7b5c0caa6511e283c2194bcb6defdd7f49360d58bb5d67ad84

Aliases

arxiv: 1704.00805 · arxiv_version: 1704.00805v4 · doi: 10.48550/arxiv.1704.00805 · pith_short_12: 4N7WJ5UIPGWH · pith_short_16: 4N7WJ5UIPGWHWXAM · pith_short_8: 4N7WJ5UI

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/4N7WJ5UIPGWHWXAMVJSRDYUDYI \
  | 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: e37f64f68879ac7b5c0caa6511e283c2194bcb6defdd7f49360d58bb5d67ad84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8086eeba9ae4c0e59c64c5e84e7eb2f94387f26e1886ab87449e8851fa5381",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-04-03T20:50:29Z",
    "title_canon_sha256": "b40e7c852386e52b890fcec7242a5ea029861692af5c4527342b566461e07b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00805",
    "kind": "arxiv",
    "version": 4
  }
}