Pith Number

pith:KMQWTXS2

pith:2025:KMQWTXS2PBSOOECZZL7H5ZXMN7

not attested not anchored not stored refs pending

Policy Optimization for Continuous-time Linear-Quadratic Graphon Mean Field Games

Philipp Plank, Yufei Zhang

arxiv:2506.05894 v1 · 2025-06-06 · math.OC · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMQWTXS2PBSOOECZZL7H5ZXMN7}

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	2026-07-05T11:17:12.253036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532169de5a7864e71059cafe7ee6ec6fffe40d9c37297db811ca5407ec235da1

Aliases

arxiv: 2506.05894 · arxiv_version: 2506.05894v1 · doi: 10.48550/arxiv.2506.05894 · pith_short_12: KMQWTXS2PBSO · pith_short_16: KMQWTXS2PBSOOECZ · pith_short_8: KMQWTXS2

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/KMQWTXS2PBSOOECZZL7H5ZXMN7 \
  | 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: 532169de5a7864e71059cafe7ee6ec6fffe40d9c37297db811ca5407ec235da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57e8a9eb99dc4b61b450a34ab8179598a97fb67228c4a53f375b603329d1179",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-06T09:06:06Z",
    "title_canon_sha256": "487080557241743cb922595189a1938afb90f11a8cb1d3ec5c4589114acd95c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05894",
    "kind": "arxiv",
    "version": 1
  }
}