Pith Number

pith:PL5GTIBC

pith:2025:PL5GTIBC2ZYOYCBYDC5S7UKFN5

not attested not anchored not stored refs pending

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

Batuhan Yardim, Niao He, Semih Cayci

arxiv:2502.00915 v1 · 2025-02-02 · math.OC · 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{PL5GTIBC2ZYOYCBYDC5S7UKFN5}

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	2026-07-05T10:08:40.066974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afa69a022d670ec083818bb2fd1456f4f8b8a70202f9080d2146e52bbaf3270

Aliases

arxiv: 2502.00915 · arxiv_version: 2502.00915v1 · doi: 10.48550/arxiv.2502.00915 · pith_short_12: PL5GTIBC2ZYO · pith_short_16: PL5GTIBC2ZYOYCBY · pith_short_8: PL5GTIBC

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/PL5GTIBC2ZYOYCBYDC5S7UKFN5 \
  | 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: 7afa69a022d670ec083818bb2fd1456f4f8b8a70202f9080d2146e52bbaf3270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650b69d5a7a18a3d9e0cd53942177c88ef205005333fc286f35f3a7a80e1e976",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-02T21:05:12Z",
    "title_canon_sha256": "cccd64edf30fcb52274f1f05d555b3f617ccdc000e5d34990b36254ecd1029f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00915",
    "kind": "arxiv",
    "version": 1
  }
}