Pith Number

pith:RNB6JIWM

pith:2019:RNB6JIWMMUNTRQEN4BPEIAIPIB

not attested not anchored not stored refs pending

Finite-Horizon Optimal Control of Boolean Control Networks: A Unified Graph-Theoretical Approach

Changkai Sun, Cheng Xiang, Kairong Qin, Shuhua Gao, Tong Heng Lee

arxiv:1908.02019 v2 · 2019-08-06 · 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{RNB6JIWMMUNTRQEN4BPEIAIPIB}

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	2026-07-05T00:16:04.898564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b43e4a2cc651b38c08de05e44010f40555f8a9c02dc9f9880e42cc3349b22f5

Aliases

arxiv: 1908.02019 · arxiv_version: 1908.02019v2 · doi: 10.48550/arxiv.1908.02019 · pith_short_12: RNB6JIWMMUNT · pith_short_16: RNB6JIWMMUNTRQEN · pith_short_8: RNB6JIWM

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/RNB6JIWMMUNTRQEN4BPEIAIPIB \
  | 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: 8b43e4a2cc651b38c08de05e44010f40555f8a9c02dc9f9880e42cc3349b22f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d2f358f9a5992d9ff725cda125e8b074dae132d2eba75b8ceb282da2b8b2e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-06T08:43:53Z",
    "title_canon_sha256": "c6bca2c11835685947cc2d5ca812ba8f6d5e2a7c55aa69b006773f4834652bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02019",
    "kind": "arxiv",
    "version": 2
  }
}