Pith Number

pith:UXUJ6XLY

pith:2018:UXUJ6XLYIOCPFAG3NFBBF5HDTY

not attested not anchored not stored refs pending

Extended Euler-Lagrange and Hamiltonian Conditions in Optimal Control of Sweeping Processes with Controlled Moving Sets

Boris S. Mordukhovich, Nguyen D. Hoang

arxiv:1804.10635 v1 · 2018-04-27 · 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{UXUJ6XLYIOCPFAG3NFBBF5HDTY}

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	2026-05-18T00:17:16.035564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e89f5d784384f280db694212f4e39e394e6a1dc9fe4269d9fa6735fd427b00

Aliases

arxiv: 1804.10635 · arxiv_version: 1804.10635v1 · doi: 10.48550/arxiv.1804.10635 · pith_short_12: UXUJ6XLYIOCP · pith_short_16: UXUJ6XLYIOCPFAG3 · pith_short_8: UXUJ6XLY

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/UXUJ6XLYIOCPFAG3NFBBF5HDTY \
  | 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: a5e89f5d784384f280db694212f4e39e394e6a1dc9fe4269d9fa6735fd427b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c03d194844ea26dd779f9dada61f5947f2420ca03d0304e01cc16fb9da9b192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-27T18:24:37Z",
    "title_canon_sha256": "b243337e648e0b0b388b3c059dce7d161fa5f5d767d23f284cbcef665bd144d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10635",
    "kind": "arxiv",
    "version": 1
  }
}