Pith Number

pith:Y6QFDVVP

pith:2021:Y6QFDVVPIEXQTMAQULLVK46WX4

not attested not anchored not stored refs pending

Generalized Outer Bounds on the Finite Geometric Sum of Ellipsoids

Justin Ruths, Navid Hashemi

arxiv:2107.08912 v1 · 2021-06-08 · math.MG · cs.SY · eess.SP · 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{Y6QFDVVPIEXQTMAQULLVK46WX4}

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	2026-07-05T02:58:54.347764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a051d6af412f09b010a2d75573d6bf375b2ce0413923555ab8d3713c96794a

Aliases

arxiv: 2107.08912 · arxiv_version: 2107.08912v1 · doi: 10.48550/arxiv.2107.08912 · pith_short_12: Y6QFDVVPIEXQ · pith_short_16: Y6QFDVVPIEXQTMAQ · pith_short_8: Y6QFDVVP

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/Y6QFDVVPIEXQTMAQULLVK46WX4 \
  | 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: c7a051d6af412f09b010a2d75573d6bf375b2ce0413923555ab8d3713c96794a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9616133346e84ecb795ec55f1e3dd71c3b6f5a61683dbf6f59c67d11f5c36d20",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SP",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-06-08T23:25:23Z",
    "title_canon_sha256": "b0cb24ee1cabae0dda1db35beade65e18b636a0ebb7aaa739f4254227de45343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08912",
    "kind": "arxiv",
    "version": 1
  }
}