Pith Number

pith:LZ5W3IP6

pith:2020:LZ5W3IP64CH3YVNGWEB7RHS677

not attested not anchored not stored refs pending

Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations

Boris S. Mordukhovich, Dao Nguyen, Giovanni Colombo, Tan H. Cao

arxiv:2002.05416 v1 · 2020-02-13 · 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{LZ5W3IP64CH3YVNGWEB7RHS677}

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	2026-07-05T00:40:31.049107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7b6da1fee08fbc55a6b103f89e5effce35cc399decddb8e4e080422f16549f

Aliases

arxiv: 2002.05416 · arxiv_version: 2002.05416v1 · doi: 10.48550/arxiv.2002.05416 · pith_short_12: LZ5W3IP64CH3 · pith_short_16: LZ5W3IP64CH3YVNG · pith_short_8: LZ5W3IP6

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/LZ5W3IP64CH3YVNGWEB7RHS677 \
  | 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: 5e7b6da1fee08fbc55a6b103f89e5effce35cc399decddb8e4e080422f16549f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d0bcb3991e02726968c2acc22aa9e99709a47a94f9520687780411639d1eae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-02-13T10:06:06Z",
    "title_canon_sha256": "49a1deb8963f540306c7bc76a31b1ff3753f4abc94f4e92e20148e26f8e51abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05416",
    "kind": "arxiv",
    "version": 1
  }
}