Pith Number

pith:JPRVRH57

pith:2017:JPRVRH577VZACNFILT5TAVTKGP

not attested not anchored not stored refs pending

Second-order KKT optimality conditions for multi-objective optimal control problems

Bui Trong Kien, Jen-Chih Yao, Nguyen Van Tuyen

arxiv:1712.09743 v1 · 2017-12-28 · 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{JPRVRH577VZACNFILT5TAVTKGP}

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	2026-05-18T00:27:07.459350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be3589fbffd720134a85cfb30566a33ccae133b67a300d796b91d6ae40d0381

Aliases

arxiv: 1712.09743 · arxiv_version: 1712.09743v1 · doi: 10.48550/arxiv.1712.09743 · pith_short_12: JPRVRH577VZA · pith_short_16: JPRVRH577VZACNFI · pith_short_8: JPRVRH57

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/JPRVRH577VZACNFILT5TAVTKGP \
  | 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: 4be3589fbffd720134a85cfb30566a33ccae133b67a300d796b91d6ae40d0381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0113e83c7d3afac3b9215a8fd67374b67951a26792761fa303e21ae418079202",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-28T03:23:44Z",
    "title_canon_sha256": "680a5c36c84dcf609c0ddb88d5eaea5a6cd25fd808926269b3321ad35f335d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09743",
    "kind": "arxiv",
    "version": 1
  }
}