Pith Number

pith:LTANAOSB

pith:2015:LTANAOSBPIKYQ5XRSBLBMCK24M

not attested not anchored not stored refs pending

Strong Stationarity Conditions for Optimal Control of Hybrid Systems

Andreas B. Hempel, John Lygeros, Paul Goulart

arxiv:1507.02878 v3 · 2015-07-10 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTANAOSBPIKYQ5XRSBLBMCK24M}

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	2026-05-18T01:02:56.928006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc0d03a417a158876f1905616095ae3370a8c5ef7db7f45a14752b0575eb2af

Aliases

arxiv: 1507.02878 · arxiv_version: 1507.02878v3 · doi: 10.48550/arxiv.1507.02878 · pith_short_12: LTANAOSBPIKY · pith_short_16: LTANAOSBPIKYQ5XR · pith_short_8: LTANAOSB

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/LTANAOSBPIKYQ5XRSBLBMCK24M \
  | 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: 5cc0d03a417a158876f1905616095ae3370a8c5ef7db7f45a14752b0575eb2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3a22bf4ff5e78ed72f7409d894febcd6efcbaca0d70cdb118e522be996fe82",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-10T12:54:58Z",
    "title_canon_sha256": "41eb93aa78cc5b95efcecf86f71fcdc8c891bdee2b7ab69f00bed41dc6b4a518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02878",
    "kind": "arxiv",
    "version": 3
  }
}