Pith Number

pith:YC6F6K5K

pith:2013:YC6F6K5KNVJHHEQGBOPGI2YQI7

not attested not anchored not stored refs pending

Semi-Decentralized Approximation of Optimal Control of Distributed Systems Based on a Functional Calculus

Michel Lenczner, Youssef Yakoubi

arxiv:1310.7100 v1 · 2013-10-26 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC6F6K5KNVJHHEQGBOPGI2YQI7}

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	2026-05-18T03:08:46.259969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bc5f2baa6d527392060b9e646b1047f752d0d2b5663c3366f790765248e120

Aliases

arxiv: 1310.7100 · arxiv_version: 1310.7100v1 · doi: 10.48550/arxiv.1310.7100 · pith_short_12: YC6F6K5KNVJH · pith_short_16: YC6F6K5KNVJHHEQG · pith_short_8: YC6F6K5K

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/YC6F6K5KNVJHHEQGBOPGI2YQI7 \
  | 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: c0bc5f2baa6d527392060b9e646b1047f752d0d2b5663c3366f790765248e120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8773643ae92add5429a1fd74b35c2c720bf5d25fb6bf060d1323fde99b1fbb16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-26T11:15:05Z",
    "title_canon_sha256": "1020f4638553aa46f034a52fef3044d1c5ac7333b4b034f1162905263ff137e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7100",
    "kind": "arxiv",
    "version": 1
  }
}