Pith Number

pith:NJHRRC4R

pith:2026:NJHRRC4RMLV37MU5KUC2I5GVBG

not attested not anchored not stored refs pending

Optimal Control with Expectation Constraint in a Smooth Boundary Case

Bruno Bouchard (CEREMADE), Kim-Anh Pham (CEREMADE), Lucas Gnecco Heredia (LAMSADE), Ludovic Moreau

arxiv:2607.24114 v1 · 2026-07-27 · math.OC · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJHRRC4RMLV37MU5KUC2I5GVBG}

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	2026-07-28T01:23:45.896846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4f188b9162ebbfb29d5505a474d509b4aede447c569c52edbecb923c492779

Aliases

arxiv: 2607.24114 · arxiv_version: 2607.24114v1 · doi: 10.48550/arxiv.2607.24114 · pith_short_12: NJHRRC4RMLV3 · pith_short_16: NJHRRC4RMLV37MU5 · pith_short_8: NJHRRC4R

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/NJHRRC4RMLV37MU5KUC2I5GVBG \
  | 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: 6a4f188b9162ebbfb29d5505a474d509b4aede447c569c52edbecb923c492779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a746b4f118220d2ea4d9d27c6c2ff9f156b2b42facd013331af338760749853",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-27T07:56:45Z",
    "title_canon_sha256": "92169d6264307cb5b0ccb8df75069582ff8556573ab586c16d5ebc2b8377bf79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24114",
    "kind": "arxiv",
    "version": 1
  }
}