Pith Number

pith:I4UVZOOS

pith:2019:I4UVZOOSA5U3NUOLTZBVRVCXHM

not attested not anchored not stored refs pending

Convergence of Multi-Agent Learning with a Finite Step Size in General-Sum Games

Chongjie Zhang, Tonghan Wang, Xinliang Song

arxiv:1903.02868 v1 · 2019-03-07 · cs.MA · 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{I4UVZOOSA5U3NUOLTZBVRVCXHM}

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	2026-05-17T23:51:50.910471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47295cb9d20769b6d1cb9e4358d4573b09154ec97a5dd207473c7fce44466942

Aliases

arxiv: 1903.02868 · arxiv_version: 1903.02868v1 · doi: 10.48550/arxiv.1903.02868 · pith_short_12: I4UVZOOSA5U3 · pith_short_16: I4UVZOOSA5U3NUOL · pith_short_8: I4UVZOOS

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/I4UVZOOSA5U3NUOLTZBVRVCXHM \
  | 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: 47295cb9d20769b6d1cb9e4358d4573b09154ec97a5dd207473c7fce44466942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dce81be5a1484aae4d8381fbd0697b2039a2adb64fa905d6c4e7581c052f3e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2019-03-07T12:23:15Z",
    "title_canon_sha256": "5e579df1ce4defaecbbeefb87333455fb6ed3efaeabc23348264c0170fe3a3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02868",
    "kind": "arxiv",
    "version": 1
  }
}