Pith Number

pith:P5E24D34

pith:2022:P5E24D34U4FU4HEJ7PXGIS3GY7

not attested not anchored not stored refs pending

Simulating numerically the Krusell-Smith model with neural networks

Jean-Michel Lasry, Pierre Louis Lions, Yves Achdou (LJLL)

arxiv:2211.07698 v1 · 2022-11-14 · 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{P5E24D34U4FU4HEJ7PXGIS3GY7}

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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

A Measure-Consistent Operator Learning Method for Infinite-Dimensional Master Equations

Receipt and verification

First computed	2026-07-05T05:16:04.930001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f49ae0f7ca70b4e1c89fbee644b66c7f1c119e3a7a6a3d0bef8ec3a2b912cd0

Aliases

arxiv: 2211.07698 · arxiv_version: 2211.07698v1 · doi: 10.48550/arxiv.2211.07698 · pith_short_12: P5E24D34U4FU · pith_short_16: P5E24D34U4FU4HEJ · pith_short_8: P5E24D34

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/P5E24D34U4FU4HEJ7PXGIS3GY7 \
  | 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: 7f49ae0f7ca70b4e1c89fbee644b66c7f1c119e3a7a6a3d0bef8ec3a2b912cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13729ddf76a6bd5b43f01561fd5d1201bd49622065ddd7245827100df0750b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-14T19:21:56Z",
    "title_canon_sha256": "daef7c6bf3ba8ef2417b0060a4f0d613ba394aab13a7716f0e1141be13508ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07698",
    "kind": "arxiv",
    "version": 1
  }
}