Pith Number

pith:4QSXKIOD

pith:2020:4QSXKIODJQJ7T4OOPKMBM243QJ

not attested not anchored not stored refs pending

Ergodic behavior of control and mean field games problems depending on acceleration

Cristian Mendico, Pierre Cardaliaguet (CEREMADE)

arxiv:2007.02704 v1 · 2020-07-06 · 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{4QSXKIODJQJ7T4OOPKMBM243QJ}

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	2026-07-05T01:16:34.155399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4257521c34c13f9f1ce7a98166b9b82568fd7005ef1340e93414014f3539447

Aliases

arxiv: 2007.02704 · arxiv_version: 2007.02704v1 · doi: 10.48550/arxiv.2007.02704 · pith_short_12: 4QSXKIODJQJ7 · pith_short_16: 4QSXKIODJQJ7T4OO · pith_short_8: 4QSXKIOD

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/4QSXKIODJQJ7T4OOPKMBM243QJ \
  | 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: e4257521c34c13f9f1ce7a98166b9b82568fd7005ef1340e93414014f3539447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2accc14a0e47950945ea35f55dfa29fdb83ccc7e0bebfc5f4b4272236ff1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-06T12:50:03Z",
    "title_canon_sha256": "c217a1341848c154ece0a76d0afb3838eeea133757b7932084ade9cd2bdb427d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02704",
    "kind": "arxiv",
    "version": 1
  }
}