Pith Number

pith:4ERF3VSZ

pith:2024:4ERF3VSZ5QC777IYDCZJCKGFVY

not attested not anchored not stored refs pending

Inverse boundary problem for a mean field game system with probability density constraint

Hongyu Liu, Shen Zhang

arxiv:2402.13274 v1 · 2024-02-17 · 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{4ERF3VSZ5QC777IYDCZJCKGFVY}

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

Simultaneously decoding the unknown stationary state and function parameters for mean field games

Receipt and verification

First computed	2026-07-05T07:47:29.769600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1225dd659ec05fffd1818b29128c5ae0555be580ee49e07235fffa7c0732b13

Aliases

arxiv: 2402.13274 · arxiv_version: 2402.13274v1 · doi: 10.48550/arxiv.2402.13274 · pith_short_12: 4ERF3VSZ5QC7 · pith_short_16: 4ERF3VSZ5QC777IY · pith_short_8: 4ERF3VSZ

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/4ERF3VSZ5QC777IYDCZJCKGFVY \
  | 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: e1225dd659ec05fffd1818b29128c5ae0555be580ee49e07235fffa7c0732b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fa48d0fe2002c77f25dee86b19a21c21db320694d89fadccfb0259154c80ed",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-17T03:58:09Z",
    "title_canon_sha256": "ace7f3fdb4d693446fb277502c3fa9924c122d0c184fcd0e2099fa290ce5e8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.13274",
    "kind": "arxiv",
    "version": 1
  }
}