Pith Number

pith:AXQRN3UO

pith:2019:AXQRN3UOTUAJGI5EKOFCX3HMEV

not attested not anchored not stored refs pending

Schauder Estimates for a Class of Potential Mean Field Games of Controls

J. Fr\'ed\'eric Bonnans, Laurent Pfeiffer, Saeed Hadikhanloo

arxiv:1902.05461 v2 · 2019-02-14 · 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{AXQRN3UOTUAJGI5EKOFCX3HMEV}

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	2026-05-17T23:42:48.427909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e116ee8e9d009323a4538a2becec255a6b6347b27e5e4c24912aba5c6b1431

Aliases

arxiv: 1902.05461 · arxiv_version: 1902.05461v2 · doi: 10.48550/arxiv.1902.05461 · pith_short_12: AXQRN3UOTUAJ · pith_short_16: AXQRN3UOTUAJGI5E · pith_short_8: AXQRN3UO

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/AXQRN3UOTUAJGI5EKOFCX3HMEV \
  | 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: 05e116ee8e9d009323a4538a2becec255a6b6347b27e5e4c24912aba5c6b1431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bedc8096af31e6c68c4c025e29ea58fc00abe8268e90d08940e7d1fe1f9de91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-14T15:53:12Z",
    "title_canon_sha256": "98ca6207fdacb1eb86606464df5e13a987d3e6c417d714b42d437c435c9e6556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05461",
    "kind": "arxiv",
    "version": 2
  }
}