Pith Number

pith:JTTLYP7U

pith:2013:JTTLYP7UUP3TLKWFTP2AOQGLB6

not attested not anchored not stored refs pending

Time optimal control problems for some non-smooth systems

Hongwei Lou, Junjie Wen, Yashan Xu

arxiv:1309.5800 v1 · 2013-09-23 · 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{JTTLYP7UUP3TLKWFTP2AOQGLB6}

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	2026-05-18T03:12:34.135161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce6bc3ff4a3f735aac59bf40740cb0fbc90475e47496bfb13e057a4e741d845

Aliases

arxiv: 1309.5800 · arxiv_version: 1309.5800v1 · doi: 10.48550/arxiv.1309.5800 · pith_short_12: JTTLYP7UUP3T · pith_short_16: JTTLYP7UUP3TLKWF · pith_short_8: JTTLYP7U

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/JTTLYP7UUP3TLKWFTP2AOQGLB6 \
  | 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: 4ce6bc3ff4a3f735aac59bf40740cb0fbc90475e47496bfb13e057a4e741d845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82a692422d8499d23944e05c5724cadc0bc89d121dbf624e71814c562d1d57b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-23T13:30:07Z",
    "title_canon_sha256": "27135235bd9910c7fba28f03bd93b8eada1f9cc8a49c83a8ce1594c1fcbd6c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5800",
    "kind": "arxiv",
    "version": 1
  }
}