Pith Number

pith:D4D3JGL5

pith:2025:D4D3JGL5FKSCPR3FJGOD6YU6S5

not attested not anchored not stored refs pending

Population-aware Online Mirror Descent for Mean-Field Games with Common Noise by Deep Reinforcement Learning

Ankur Mehta, Mathieu Lauriere, Matthieu Geist, Olivier Pietquin, Zida Wu

arxiv:2509.03030 v1 · 2025-09-03 · cs.LG · cs.MA · cs.RO · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4D3JGL5FKSCPR3FJGOD6YU6S5}

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	2026-07-05T12:04:02.405693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f07b4997d2aa427c765499c3f629e9762faf596480602eb1584bb1a50ee1d06

Aliases

arxiv: 2509.03030 · arxiv_version: 2509.03030v1 · doi: 10.48550/arxiv.2509.03030 · pith_short_12: D4D3JGL5FKSC · pith_short_16: D4D3JGL5FKSCPR3F · pith_short_8: D4D3JGL5

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/D4D3JGL5FKSCPR3FJGOD6YU6S5 \
  | 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: 1f07b4997d2aa427c765499c3f629e9762faf596480602eb1584bb1a50ee1d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf1c7639e1332b6fd3670d4795f4de6acfd2226e7b2470c5a103b97878ad3e7",
    "cross_cats_sorted": [
      "cs.MA",
      "cs.RO",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-03T05:33:46Z",
    "title_canon_sha256": "50c1a363a6e590a0b9561175a5fdc8a1b79c831af1386984fd1c7c53ee573eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03030",
    "kind": "arxiv",
    "version": 1
  }
}