Pith Number

pith:FCIZ24UR

pith:2022:FCIZ24URHBWZKUF3FYSSYDLEVZ

not attested not anchored not stored refs pending

Weak solutions to the master equation of potential mean field games

Alekos Cecchin, Fran\c{c}ois Delarue

arxiv:2204.04315 v2 · 2022-04-08 · math.OC · math.AP · 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{FCIZ24URHBWZKUF3FYSSYDLEVZ}

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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.

Cited by

1 paper in Pith

Limit Theory for $N$-Player $\alpha$-Potential Games

Receipt and verification

First computed	2026-07-05T04:36:00.166614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28919d7291386d9550bb2e252c0d64ae61d994d5f9421cdd813102a287639f8e

Aliases

arxiv: 2204.04315 · arxiv_version: 2204.04315v2 · doi: 10.48550/arxiv.2204.04315 · pith_short_12: FCIZ24URHBWZ · pith_short_16: FCIZ24URHBWZKUF3 · pith_short_8: FCIZ24UR

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/FCIZ24URHBWZKUF3FYSSYDLEVZ \
  | 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: 28919d7291386d9550bb2e252c0d64ae61d994d5f9421cdd813102a287639f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a754e13252f1347810842d8e175963353f7ce128f6e0e1171aad0e85cf4f98",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-04-08T22:20:35Z",
    "title_canon_sha256": "6f275ffb95908d406ffd6e4554239dcb31ca89c7e1ac9fdfcfc9c838ab31be4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04315",
    "kind": "arxiv",
    "version": 2
  }
}