Pith Number

pith:W4T2THU2

pith:2018:W4T2THU2AF4DVVI3VWKWZ53QXT

not attested not anchored not stored refs pending

Smallest Ellipsoid Containing $p$-Sum of Ellipsoids with Application to Reachability Analysis

Abhishek Halder

arxiv:1806.07621 v7 · 2018-06-20 · math.OC · cs.SY · eess.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{W4T2THU2AF4DVVI3VWKWZ53QXT}

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	2026-06-04T19:11:59.956098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b727a99e9a01783ad51bad956cf770bcd8429207b1e3937424f3ef2f7a36b647

Aliases

arxiv: 1806.07621 · arxiv_version: 1806.07621v7 · doi: 10.48550/arxiv.1806.07621 · pith_short_12: W4T2THU2AF4D · pith_short_16: W4T2THU2AF4DVVI3 · pith_short_8: W4T2THU2

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/W4T2THU2AF4DVVI3VWKWZ53QXT \
  | 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: b727a99e9a01783ad51bad956cf770bcd8429207b1e3937424f3ef2f7a36b647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945d7bda18822b025c4785668d2d1f4432e4d9e2393af8b3caa864636281f5c6",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-20T09:15:53Z",
    "title_canon_sha256": "a3d5dbeff0fa6776b6408f5f20e7192a8ac188b4ecdd1d93f9cbe22444cc8ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07621",
    "kind": "arxiv",
    "version": 7
  }
}