Pith Number

pith:5MX7ZFMJ

pith:2026:5MX7ZFMJOJDLJZWREETKSGA3D2

not attested not anchored not stored refs pending

Stationary Robust Mean-Field Games under Model Mismatches

Yue Wang

arxiv:2606.22579 v1 · 2026-06-21 · cs.LG · 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{5MX7ZFMJOJDLJZWREETKSGA3D2}

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	2026-06-23T02:13:42.107872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2ffc95897246b4e6d12126a9181b1ebd2cc43aa37f749fea80b7a7ad79ec2a

Aliases

arxiv: 2606.22579 · arxiv_version: 2606.22579v1 · doi: 10.48550/arxiv.2606.22579 · pith_short_12: 5MX7ZFMJOJDL · pith_short_16: 5MX7ZFMJOJDLJZWR · pith_short_8: 5MX7ZFMJ

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/5MX7ZFMJOJDLJZWREETKSGA3D2 \
  | 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: eb2ffc95897246b4e6d12126a9181b1ebd2cc43aa37f749fea80b7a7ad79ec2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea876d12272b5c9344633e015165d178f19d6a801d48a57f52b578513f70efc",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-21T16:29:25Z",
    "title_canon_sha256": "265bb0e3a5991240f60efd086fb7e55c3ab5fb3e24a18e0c8a16c82e1535c9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22579",
    "kind": "arxiv",
    "version": 1
  }
}