Pith Number

pith:LEZ6S2ZM

pith:2018:LEZ6S2ZMLXSZSLV5EFSYSCWEJF

not attested not anchored not stored refs pending

Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models

Boris S. Mordukhovich, Dao Nguyen, Giovanni Colombo

arxiv:1811.01844 v1 · 2018-11-05 · 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{LEZ6S2ZMLXSZSLV5EFSYSCWEJF}

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	2026-05-18T00:01:33.097967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5933e96b2c5de5992ebd2165890ac4497c2a8ebf3af346683ce074cbc45ab9b4

Aliases

arxiv: 1811.01844 · arxiv_version: 1811.01844v1 · doi: 10.48550/arxiv.1811.01844 · pith_short_12: LEZ6S2ZMLXSZ · pith_short_16: LEZ6S2ZMLXSZSLV5 · pith_short_8: LEZ6S2ZM

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/LEZ6S2ZMLXSZSLV5EFSYSCWEJF \
  | 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: 5933e96b2c5de5992ebd2165890ac4497c2a8ebf3af346683ce074cbc45ab9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e10feafa66b3a870719d5ba7aabaf5ded4e57624f1c4d9a1738f01808753af3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-05T17:03:58Z",
    "title_canon_sha256": "6ec6053efcb016651a208f6b2b293d0f27d6d92cf2b45c31ebdcf84e7d7af411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01844",
    "kind": "arxiv",
    "version": 1
  }
}