Pith Number

pith:Y5TSRA2V

pith:2019:Y5TSRA2VYMR6OG63ARALFBYBE7

not attested not anchored not stored refs pending

Nonlinear input design as optimal control of a Hamiltonian system

Jack Umenberger, Thomas B. Sch\"on

arxiv:1903.02250 v1 · 2019-03-06 · cs.SY · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5TSRA2VYMR6OG63ARALFBYBE7}

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	2026-05-17T23:51:56.393555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c767288355c323e71bdb0440b2870127ee337c37f251a84c8dd3d433a3fda154

Aliases

arxiv: 1903.02250 · arxiv_version: 1903.02250v1 · doi: 10.48550/arxiv.1903.02250 · pith_short_12: Y5TSRA2VYMR6 · pith_short_16: Y5TSRA2VYMR6OG63 · pith_short_8: Y5TSRA2V

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/Y5TSRA2VYMR6OG63ARALFBYBE7 \
  | 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: c767288355c323e71bdb0440b2870127ee337c37f251a84c8dd3d433a3fda154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee5b566a9dd45ddacc81424f968c7ec796ee181c7c35b39226da2b1d6a895ee",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2019-03-06T09:02:58Z",
    "title_canon_sha256": "cc98b649a4c99354d6ea730e32811d597330199ffe9ea8db9bbcb2bb9d31d15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02250",
    "kind": "arxiv",
    "version": 1
  }
}