Pith Number

pith:QQRYYKSR

pith:2019:QQRYYKSRGSSMCWHYMBJQJYNN27

not attested not anchored not stored refs pending

Deterministic mean field games with control on the acceleration

Claudio Marchi (DEI), Nicoletta Tchou (IRMAR), Paola Mannucci, Yves Achdou (LJLL (UMR\_7598))

arxiv:1908.03330 v3 · 2019-08-09 · math.AP · 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{QQRYYKSRGSSMCWHYMBJQJYNN27}

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	2026-07-05T01:22:35.960915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84238c2a5134a4c158f8605304e1add7f75848b0ffc301e4e7c3c4f56226251b

Aliases

arxiv: 1908.03330 · arxiv_version: 1908.03330v3 · doi: 10.48550/arxiv.1908.03330 · pith_short_12: QQRYYKSRGSSM · pith_short_16: QQRYYKSRGSSMCWHY · pith_short_8: QQRYYKSR

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/QQRYYKSRGSSMCWHYMBJQJYNN27 \
  | 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: 84238c2a5134a4c158f8605304e1add7f75848b0ffc301e4e7c3c4f56226251b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7242d3fe9dedbf807675dfdc9b23477b6717ed7bb3d20ba022bb15cf762435",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-09T06:39:01Z",
    "title_canon_sha256": "55d24c7aa7e4179b9a852f83a899874046113aba76f4207b2c22ab909f440cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03330",
    "kind": "arxiv",
    "version": 3
  }
}