Pith Number

pith:PWALECI6

pith:2020:PWALECI6EG3NFC5GEFRTCBBAA3

not attested not anchored not stored refs pending

A Mean Field Games model for finite mixtures of Bernoulli and Categorical distributions

Fabio Camilli, Laura Aquilanti, Raul De Maio, Simone Cacace

arxiv:2004.08119 v2 · 2020-04-17 · stat.ML · cs.LG · 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{PWALECI6EG3NFC5GEFRTCBBAA3}

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	2026-07-05T01:54:43.642988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d80b2091e21b6d28ba6216331042006da8cebd4cd4051b7d6fc9c90367dff62

Aliases

arxiv: 2004.08119 · arxiv_version: 2004.08119v2 · doi: 10.48550/arxiv.2004.08119 · pith_short_12: PWALECI6EG3N · pith_short_16: PWALECI6EG3NFC5G · pith_short_8: PWALECI6

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/PWALECI6EG3NFC5GEFRTCBBAA3 \
  | 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: 7d80b2091e21b6d28ba6216331042006da8cebd4cd4051b7d6fc9c90367dff62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed17b41d659bad3f20abe16044a60d7405294c349c8252be2ce0692e88e97be7",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-04-17T08:50:05Z",
    "title_canon_sha256": "01e09d5f401a72eda59e8041127528796c4873ca9650eee619f109521953fd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08119",
    "kind": "arxiv",
    "version": 2
  }
}