Pith Number

pith:U3YA5IEK

pith:2018:U3YA5IEK4YLVNYDRKBGWBOWSV2

not attested not anchored not stored refs pending

Optimal control problems with oscillations, concentrations and discontinuities

Didier Henrion (LAAS-MAC), Martin Kru{\v{z}}\'ik, Tillmann Weisser (LAAS-MAC)

arxiv:1807.04199 v2 · 2018-07-11 · 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{U3YA5IEK4YLVNYDRKBGWBOWSV2}

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	2026-05-17T23:55:29.170377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f00ea08ae61756e071504d60bad2ae8b58541ca830be4fa43ca94aa00f8dc1

Aliases

arxiv: 1807.04199 · arxiv_version: 1807.04199v2 · doi: 10.48550/arxiv.1807.04199 · pith_short_12: U3YA5IEK4YLV · pith_short_16: U3YA5IEK4YLVNYDR · pith_short_8: U3YA5IEK

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/U3YA5IEK4YLVNYDRKBGWBOWSV2 \
  | 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: a6f00ea08ae61756e071504d60bad2ae8b58541ca830be4fa43ca94aa00f8dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7358b050608a832f20223af526f48265d958693b99c057604fc0873df45ab0e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-11T15:37:39Z",
    "title_canon_sha256": "b854328202e113d2e5d4987c25dc2f47b0975a9dd29a10dff5a1e6c7aec4357b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04199",
    "kind": "arxiv",
    "version": 2
  }
}