Pith Number

pith:3VBSYK4U

pith:2018:3VBSYK4UD5CEQUXGKRAIDURHRK

not attested not anchored not stored refs pending

A theoretical investigation of Brockett's ensemble optimal control problems

Alfio Borz\`i, Francesco Fanelli, Jan Bartsch, Souvik Roy

arxiv:1809.09904 v1 · 2018-09-26 · math.AP · 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{3VBSYK4UD5CEQUXGKRAIDURHRK}

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	2026-05-18T00:04:43.330227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd432c2b941f444852e6544081d2278aa4847e244e89c46bdc79ffc438ef8249

Aliases

arxiv: 1809.09904 · arxiv_version: 1809.09904v1 · doi: 10.48550/arxiv.1809.09904 · pith_short_12: 3VBSYK4UD5CE · pith_short_16: 3VBSYK4UD5CEQUXG · pith_short_8: 3VBSYK4U

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/3VBSYK4UD5CEQUXGKRAIDURHRK \
  | 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: dd432c2b941f444852e6544081d2278aa4847e244e89c46bdc79ffc438ef8249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c553bae800107a5407423e456b11cce99be0b5c364efc639fac4c8e66ea15600",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-26T10:59:02Z",
    "title_canon_sha256": "1d6771e8d82259fd55fb5859b04f9e9f6c4387e8e96007acd909b7516fb3d5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09904",
    "kind": "arxiv",
    "version": 1
  }
}