Pith Number

pith:HL7SQKQ2

pith:2019:HL7SQKQ2ZLTHSEROQ4D3BTLMFH

not attested not anchored not stored refs pending

Mean-Field Neural ODEs via Relaxed Optimal Control

David \v{S}i\v{s}ka, Jean-Fran\c{c}ois Jabir, {\L}ukasz Szpruch

arxiv:1912.05475 v3 · 2019-12-11 · math.PR · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL7SQKQ2ZLTHSEROQ4D3BTLMFH}

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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

Control, Optimal Transport and Neural Differential Equations in Supervised Learning

Receipt and verification

First computed	2026-07-05T02:23:56.111405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aff282a1acae679122e8707b0cd6c29c4c20611a42fb68d95b09d518cb7b0c6

Aliases

arxiv: 1912.05475 · arxiv_version: 1912.05475v3 · doi: 10.48550/arxiv.1912.05475 · pith_short_12: HL7SQKQ2ZLTH · pith_short_16: HL7SQKQ2ZLTHSERO · pith_short_8: HL7SQKQ2

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/HL7SQKQ2ZLTHSEROQ4D3BTLMFH \
  | 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: 3aff282a1acae679122e8707b0cd6c29c4c20611a42fb68d95b09d518cb7b0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6679a2cd62cc78d2733cdaadc3b69ae63a96e032cab891b2f9b511e86de3f56e",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-12-11T17:13:06Z",
    "title_canon_sha256": "5dca00e276ac8fbbf7932237cd7c89a0f580ba30cb76335c13289cbb0cab71fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05475",
    "kind": "arxiv",
    "version": 3
  }
}