Pith Number

pith:MUH3G55V

pith:2017:MUH3G55VNKFRTYFAAKUCIXJI6W

not attested not anchored not stored refs pending

Optimal Control of Endo-Atmospheric Launch Vehicle Systems: Geometric and Computational Issues

Bruno H\'eriss\'e (Palaiseau), CaGE), Emmanuel Tr\'elat (LJLL, LJLL, Riccardo Bonalli (Palaiseau

arxiv:1710.11501 v2 · 2017-10-31 · 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{MUH3G55VNKFRTYFAAKUCIXJI6W}

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	2026-05-17T23:51:34.362867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650fb377b56a8b19e0a002a8245d28f5b14076a7fa0cd35961850104f4cd3701

Aliases

arxiv: 1710.11501 · arxiv_version: 1710.11501v2 · doi: 10.48550/arxiv.1710.11501 · pith_short_12: MUH3G55VNKFR · pith_short_16: MUH3G55VNKFRTYFA · pith_short_8: MUH3G55V

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/MUH3G55VNKFRTYFAAKUCIXJI6W \
  | 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: 650fb377b56a8b19e0a002a8245d28f5b14076a7fa0cd35961850104f4cd3701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f42b9671e03c1591fce202e41be665068d2d8ee9e091150e21b6176df1daf66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-31T14:21:50Z",
    "title_canon_sha256": "4b3061657b184910670276eaa706d725fd3cd8d077a5afcd5e9ac9a164619eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11501",
    "kind": "arxiv",
    "version": 2
  }
}