Pith Number

pith:LHGNVJGL

pith:2024:LHGNVJGL7ELQR56CBZ6HAXLTHG

not attested not anchored not stored refs pending

Existence and uniqueness results for a mean-field game of optimal investment

Alessandro Calvia, Fausto Gozzi, Giorgio Ferrari, Salvatore Federico

arxiv:2404.02871 v4 · 2024-04-03 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHGNVJGL7ELQR56CBZ6HAXLTHG}

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	2026-05-20T00:00:15.065746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ccdaa4cbf91708f7c20e7c705d733997bd8b5752938db6a8f64e4ca9e52c71

Aliases

arxiv: 2404.02871 · arxiv_version: 2404.02871v4 · doi: 10.48550/arxiv.2404.02871 · pith_short_12: LHGNVJGL7ELQ · pith_short_16: LHGNVJGL7ELQR56C · pith_short_8: LHGNVJGL

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/LHGNVJGL7ELQR56CBZ6HAXLTHG \
  | 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: 59ccdaa4cbf91708f7c20e7c705d733997bd8b5752938db6a8f64e4ca9e52c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02efe533b2efa09e9b09b68ca071a53721ecabd2c3a68478c8ed722da95415e0",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-04-03T17:08:23Z",
    "title_canon_sha256": "ef6ffb9d8297b005e632b26b4dadfe1a2b867c6fdf398fed472da8038368a76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02871",
    "kind": "arxiv",
    "version": 4
  }
}