Pith Number

pith:OPASUXDP

pith:2018:OPASUXDP6LQD6EFC4AHKRAI3PC

not attested not anchored not stored refs pending

On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids

Abhishek Halder

arxiv:1803.08157 v5 · 2018-03-21 · 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{OPASUXDP6LQD6EFC4AHKRAI3PC}

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	2026-05-18T00:12:31.891969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c12a5c6ff2e03f10a2e00ea8811b78bdb6163ca08849d9192aa3479a20c90e

Aliases

arxiv: 1803.08157 · arxiv_version: 1803.08157v5 · doi: 10.48550/arxiv.1803.08157 · pith_short_12: OPASUXDP6LQD · pith_short_16: OPASUXDP6LQD6EFC · pith_short_8: OPASUXDP

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/OPASUXDP6LQD6EFC4AHKRAI3PC \
  | 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: 73c12a5c6ff2e03f10a2e00ea8811b78bdb6163ca08849d9192aa3479a20c90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb20ea92e9e6f07e8826082b09fe66e843c57405c65f0efebb1fdc4d043ad14c",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-21T22:34:13Z",
    "title_canon_sha256": "189c426b920a6abad255b430e0312ba37d8853a2db08c14529b734ce7eb9b142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08157",
    "kind": "arxiv",
    "version": 5
  }
}