Pith Number

pith:VRZNB6WB

pith:2024:VRZNB6WBBDLABTJ2VZQXDYBGMM

not attested not anchored not stored refs pending

An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs

Hangrui Yue, Tianyou Zeng, Xiaoming Yuan, Yongcun Song

arxiv:2409.14417 v2 · 2024-09-22 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRZNB6WBBDLABTJ2VZQXDYBGMM}

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	2026-07-05T10:53:38.940101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac72d0fac108d600cd3aae6171e0266335589d38f8d7770a23f7957a0cee45f0

Aliases

arxiv: 2409.14417 · arxiv_version: 2409.14417v2 · doi: 10.48550/arxiv.2409.14417 · pith_short_12: VRZNB6WBBDLA · pith_short_16: VRZNB6WBBDLABTJ2 · pith_short_8: VRZNB6WB

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/VRZNB6WBBDLABTJ2VZQXDYBGMM \
  | 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: ac72d0fac108d600cd3aae6171e0266335589d38f8d7770a23f7957a0cee45f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d987605c1974bd87a131391b7809751400dd076a49378205b45d305f2704d126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-22T12:40:32Z",
    "title_canon_sha256": "fdc4b02d35b76864d9160c1ca0825177117c3e65ec1bc2b0e4343fdc5dea3fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14417",
    "kind": "arxiv",
    "version": 2
  }
}