Pith Number

pith:PMQEZFRW

pith:2023:PMQEZFRWZKGSWTD4UPN5VCPWCF

not attested not anchored not stored refs pending

Gauss-Newton Runge-Kutta Integration for Efficient Discretization of Optimal Control Problems with Long Horizons and Least-Squares Costs

Jonathan Frey, Katrin Baumg\"artner, Moritz Diehl

arxiv:2310.20390 v1 · 2023-10-31 · 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{PMQEZFRWZKGSWTD4UPN5VCPWCF}

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	2026-07-05T07:07:29.412075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b204c9636ca8d2b4c7ca3dbda89f6114aebd8b6e4c29ae06f8000c72e616b8b

Aliases

arxiv: 2310.20390 · arxiv_version: 2310.20390v1 · doi: 10.48550/arxiv.2310.20390 · pith_short_12: PMQEZFRWZKGS · pith_short_16: PMQEZFRWZKGSWTD4 · pith_short_8: PMQEZFRW

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/PMQEZFRWZKGSWTD4UPN5VCPWCF \
  | 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: 7b204c9636ca8d2b4c7ca3dbda89f6114aebd8b6e4c29ae06f8000c72e616b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5077445e395fd18e04296340fe503c81f3bae97c512e4f5ea82bc6ccfe4258f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-10-31T12:07:47Z",
    "title_canon_sha256": "7b1fe58348cc567221e57872420d04e70c81cd54c7f0d46f6162869706b66d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.20390",
    "kind": "arxiv",
    "version": 1
  }
}