Pith Number

pith:ODGIXN2E

pith:2021:ODGIXN2EDXRGMPFIX4ASQ5FZK3

not attested not anchored not stored refs pending

Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling

Boris S. Mordukhovich, Dao Nguyen, Fernando Lobo Pereira, Nathalie T. Khalil, Tan H. Cao, Trang Nguyen

arxiv:2105.03490 v1 · 2021-05-07 · 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{ODGIXN2EDXRGMPFIX4ASQ5FZK3}

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	2026-07-05T02:38:35.620536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cc8bb7441de2663ca8bf012874b956fd64a556d15ce1e5b0b6345465afafab

Aliases

arxiv: 2105.03490 · arxiv_version: 2105.03490v1 · doi: 10.48550/arxiv.2105.03490 · pith_short_12: ODGIXN2EDXRG · pith_short_16: ODGIXN2EDXRGMPFI · pith_short_8: ODGIXN2E

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/ODGIXN2EDXRGMPFIX4ASQ5FZK3 \
  | 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: 70cc8bb7441de2663ca8bf012874b956fd64a556d15ce1e5b0b6345465afafab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d30358fc248f480f4beda28cdfa8db444842fe15fe99a20ec4cf34c411e2f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-07T20:22:26Z",
    "title_canon_sha256": "8d4fd0b063161d2af77787119a71ebbecfecd7477c59e601aef436af0877dee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03490",
    "kind": "arxiv",
    "version": 1
  }
}