Pith Number

pith:COP6ZZKP

pith:2017:COP6ZZKPTSIS6WKU5DZ5UYHV3Z

not attested not anchored not stored refs pending

Optimal Impulse Control of a Simple Reparable System in a Nonreflexive Banach Space

Chuang Zheng, Houbao Xu, Rongjie Lai, Weiwei Hu

arxiv:1703.09392 v1 · 2017-03-28 · 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{COP6ZZKPTSIS6WKU5DZ5UYHV3Z}

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	2026-05-18T00:47:44.710745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139fece54f9c912f5954e8f3da60f5de53dcad2e9433ec3313179d0eee174dcc

Aliases

arxiv: 1703.09392 · arxiv_version: 1703.09392v1 · doi: 10.48550/arxiv.1703.09392 · pith_short_12: COP6ZZKPTSIS · pith_short_16: COP6ZZKPTSIS6WKU · pith_short_8: COP6ZZKP

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/COP6ZZKPTSIS6WKU5DZ5UYHV3Z \
  | 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: 139fece54f9c912f5954e8f3da60f5de53dcad2e9433ec3313179d0eee174dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a430074aa117f6113223e80032dd20ddf7c5ac8270b3cfb7a8ebf680c52d98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-28T03:33:03Z",
    "title_canon_sha256": "70b266c6ccd16f244735a939af499c98317eba1b40b07ae204c4f3410304de02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09392",
    "kind": "arxiv",
    "version": 1
  }
}