Pith Number

pith:GF46IAEI

pith:2020:GF46IAEIFKT2OOZDMQOHU6N22O

not attested not anchored not stored refs pending

Optimization of Fully Controlled Sweeping Processes

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

arxiv:2012.11722 v2 · 2020-12-21 · 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{GF46IAEIFKT2OOZDMQOHU6N22O}

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	2026-07-05T02:23:23.040345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3179e400882aa7a73b23641c7a79bad39d37d7d1892e2ed5c38ae8856830d5a9

Aliases

arxiv: 2012.11722 · arxiv_version: 2012.11722v2 · doi: 10.48550/arxiv.2012.11722 · pith_short_12: GF46IAEIFKT2 · pith_short_16: GF46IAEIFKT2OOZD · pith_short_8: GF46IAEI

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/GF46IAEIFKT2OOZDMQOHU6N22O \
  | 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: 3179e400882aa7a73b23641c7a79bad39d37d7d1892e2ed5c38ae8856830d5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b839665baf90236eaa41ba20789b1ced8ad50d1455289dc2f816e62e6d5be6ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-21T22:34:26Z",
    "title_canon_sha256": "d0aae4a8daa9845b3c391c86844b00b59e0ad49b43e5f1826de7f268243d0de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11722",
    "kind": "arxiv",
    "version": 2
  }
}