Pith Number

pith:FTYX7STM

pith:2021:FTYX7STMR3AQF3M2MUB6363TGF

not attested not anchored not stored refs pending

Generalization in Mean Field Games by Learning Master Policies

Julien P\'erolat, Mathieu Lauri\`ere, Matthieu Geist, Olivier Pietquin, Romuald \'Elie, Sarah Perrin

arxiv:2109.09717 v1 · 2021-09-20 · cs.LG · cs.GT · cs.MA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTYX7STMR3AQF3M2MUB6363TGF}

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	2026-07-05T03:15:49.125691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf17fca6c8ec102ed9a6503edfb73316fc0bffae283b2dbe169f82693cfc25c

Aliases

arxiv: 2109.09717 · arxiv_version: 2109.09717v1 · doi: 10.48550/arxiv.2109.09717 · pith_short_12: FTYX7STMR3AQ · pith_short_16: FTYX7STMR3AQF3M2 · pith_short_8: FTYX7STM

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/FTYX7STMR3AQF3M2MUB6363TGF \
  | 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: 2cf17fca6c8ec102ed9a6503edfb73316fc0bffae283b2dbe169f82693cfc25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0000bc0929ec7a078e4ed31dba92df123a1e31cbb85b69641ad919f77f469557",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-09-20T17:47:34Z",
    "title_canon_sha256": "4be7b96a73545ddb11361c94f56f6811b2f1d309fc9fe9a241afdfc51bbcbda8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09717",
    "kind": "arxiv",
    "version": 1
  }
}