Pith Number

pith:VHFX4QC5

pith:2019:VHFX4QC5YIFLM37AJOUS6CVAZT

not attested not anchored not stored refs pending

Policy Optimization Provably Converges to Nash Equilibria in Zero-Sum Linear Quadratic Games

Kaiqing Zhang, Tamer Ba\c{s}ar, Zhuoran Yang

arxiv:1906.00729 v4 · 2019-05-31 · cs.LG · cs.GT · cs.SY · eess.SY · math.OC · 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{VHFX4QC5YIFLM37AJOUS6CVAZT}

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	2026-06-04T20:14:34.319569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cb7e405dc20ab66fe04ba92f0aa0ccc9bd8d0a84a1c0a0a8f3312bbe843995

Aliases

arxiv: 1906.00729 · arxiv_version: 1906.00729v4 · doi: 10.48550/arxiv.1906.00729 · pith_short_12: VHFX4QC5YIFL · pith_short_16: VHFX4QC5YIFLM37A · pith_short_8: VHFX4QC5

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/VHFX4QC5YIFLM37AJOUS6CVAZT \
  | 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: a9cb7e405dc20ab66fe04ba92f0aa0ccc9bd8d0a84a1c0a0a8f3312bbe843995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173b69f4848c96d0db5231769e11c0590e6a740fcfe1df5102a31f8621bbe6f6",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY",
      "eess.SY",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-31T17:28:25Z",
    "title_canon_sha256": "11d6182b8307d2a05c4ca1359088d0146fe87df560b1ffce7be2131064e3d766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00729",
    "kind": "arxiv",
    "version": 4
  }
}