Pith Number

pith:4ATESDGY

pith:2022:4ATESDGYP7VDEJVJZYDDMWTK5I

not attested not anchored not stored refs pending

Faster Last-iterate Convergence of Policy Optimization in Zero-Sum Markov Games

Lin Xiao, Shicong Cen, Simon S. Du, Yuejie Chi

arxiv:2210.01050 v2 · 2022-10-03 · cs.GT · cs.AI · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ATESDGYP7VDEJVJZYDDMWTK5I}

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

1 paper in Pith

Robust Markov Decision Processes on Continuous State Spaces

Receipt and verification

First computed	2026-07-05T05:03:07.562041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e026490cd87fea3226a9ce06365a6aea112685b333744f10718c22362c30411e

Aliases

arxiv: 2210.01050 · arxiv_version: 2210.01050v2 · doi: 10.48550/arxiv.2210.01050 · pith_short_12: 4ATESDGYP7VD · pith_short_16: 4ATESDGYP7VDEJVJ · pith_short_8: 4ATESDGY

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/4ATESDGYP7VDEJVJZYDDMWTK5I \
  | 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: e026490cd87fea3226a9ce06365a6aea112685b333744f10718c22362c30411e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4588b15e9ebf3ca26529948984057b41496f0ea134cd4ffdcdc54dad3dd2e2e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-10-03T16:05:43Z",
    "title_canon_sha256": "e66497ee00ae3abd8eb1273dc0e2159b627c716d063bd999672cc72401775de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01050",
    "kind": "arxiv",
    "version": 2
  }
}