Pith Number

pith:2KWQVG66

pith:2022:2KWQVG66634IJQI43O6PCYOJKQ

not attested not anchored not stored refs pending

Mean-Field Games With Finitely Many Players: Independent Learning and Subjectivity

Bora Yongacoglu, G\"urdal Arslan, Serdar Y\"uksel

arxiv:2209.05703 v4 · 2022-09-13 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KWQVG66634IJQI43O6PCYOJKQ}

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

A Variational Inequality Approach to Independent Learning in Static Mean-Field Games

Receipt and verification

First computed	2026-07-05T10:08:51.756229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ad0a9bdef6f884c11cdbbcf161c9541a96d9af091e3e4cd390320da6625ab3

Aliases

arxiv: 2209.05703 · arxiv_version: 2209.05703v4 · doi: 10.48550/arxiv.2209.05703 · pith_short_12: 2KWQVG66634I · pith_short_16: 2KWQVG66634IJQI4 · pith_short_8: 2KWQVG66

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/2KWQVG66634IJQI43O6PCYOJKQ \
  | 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: d2ad0a9bdef6f884c11cdbbcf161c9541a96d9af091e3e4cd390320da6625ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9b42019e03694f6b8e3214c2547ee4e2f7057cd4bdd54beaf2c54372f1eaf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-09-13T03:08:21Z",
    "title_canon_sha256": "ee86a2ca92d51691240d92ba34a784a75c6c0edbd1d2e3d5766f62f0de2efc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05703",
    "kind": "arxiv",
    "version": 4
  }
}