Pith Number

pith:OOCLZWZK

pith:2018:OOCLZWZKTCEIRXG6N36AMWMNEC

not attested not anchored not stored refs pending

Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Constraints

Qi L\"u, Xu Liu, Xu Zhang

arxiv:1810.01334 v1 · 2018-10-02 · 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{OOCLZWZKTCEIRXG6N36AMWMNEC}

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	2026-05-18T00:04:18.216349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7384bcdb2a988888dcde6efc06598d209290133a0d42e2a95312aba3ea694dec

Aliases

arxiv: 1810.01334 · arxiv_version: 1810.01334v1 · doi: 10.48550/arxiv.1810.01334 · pith_short_12: OOCLZWZKTCEI · pith_short_16: OOCLZWZKTCEIRXG6 · pith_short_8: OOCLZWZK

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/OOCLZWZKTCEIRXG6N36AMWMNEC \
  | 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: 7384bcdb2a988888dcde6efc06598d209290133a0d42e2a95312aba3ea694dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8cd4cf9b736212f89fd43b79e89a507551cb9661ee8b29184e24ad9f797ce0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-02T15:51:15Z",
    "title_canon_sha256": "e189475f36a4c9c9928eaa35be2d0cfeba32104f1dd2ce70c9ca16dcc8c61f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01334",
    "kind": "arxiv",
    "version": 1
  }
}