Pith Number

pith:4CBYQRMU

pith:2018:4CBYQRMUJ3VFBAXMUMKHWHPP52

not attested not anchored not stored refs pending

Mean Field Games with state constraints: from mild to pointwise solutions of the PDE system

Piermarco Cannarsa (DIPMAT), Pierre Cardaliaguet (CEREMADE), Rossana Capuani

arxiv:1812.11374 v1 · 2018-12-29 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CBYQRMUJ3VFBAXMUMKHWHPP52}

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.

Cited by

1 paper in Pith

Deterministic mean field games with control on the acceleration

Receipt and verification

First computed	2026-05-17T23:57:12.136875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0838845944eea5082eca3147b1defee971f4fbfe1d78bb529c9e154a5d8ca84

Aliases

arxiv: 1812.11374 · arxiv_version: 1812.11374v1 · doi: 10.48550/arxiv.1812.11374 · pith_short_12: 4CBYQRMUJ3VF · pith_short_16: 4CBYQRMUJ3VFBAXM · pith_short_8: 4CBYQRMU

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/4CBYQRMUJ3VFBAXMUMKHWHPP52 \
  | 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: e0838845944eea5082eca3147b1defee971f4fbfe1d78bb529c9e154a5d8ca84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810c9eabc2c2f091d75d3144e2f0d30e872a0d525d8f6d34df786ce555740e7e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-29T15:08:25Z",
    "title_canon_sha256": "fcbb0dd8ac8dca5dd929efad985134ac6c99eaf431f97d0fffe59476d46eb1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11374",
    "kind": "arxiv",
    "version": 1
  }
}