Pith Number

pith:RGD2BGBU

pith:2016:RGD2BGBUPHFAKUGGDOS3HQRVTW

not attested not anchored not stored refs pending

Balls Isoperimetric in $\mathbb{R}^n$ with Volume and Perimeter Densities $r^m$ and $r^k$

Dylanger Pittman, Jahangir Habib, Lea Kenigsberg, Leonardo Di Giosia, Weitao Zhu

arxiv:1610.05830 v2 · 2016-10-19 · math.MG · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGD2BGBUPHFAKUGGDOS3HQRVTW}

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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.

Cited by

1 paper in Pith

Some isoperimetric inequalities with respect to monomial weights

Receipt and verification

First computed	2026-05-17T23:51:49.768460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8987a0983479ca0550c61ba5b3c2359d9e3700745272ab2d2ec60597e83cc6e8

Aliases

arxiv: 1610.05830 · arxiv_version: 1610.05830v2 · doi: 10.48550/arxiv.1610.05830 · pith_short_12: RGD2BGBUPHFA · pith_short_16: RGD2BGBUPHFAKUGG · pith_short_8: RGD2BGBU

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/RGD2BGBUPHFAKUGGDOS3HQRVTW \
  | 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: 8987a0983479ca0550c61ba5b3c2359d9e3700745272ab2d2ec60597e83cc6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daab22775c8cc2b166cc97461c3234c961d2512c1979d702c177c57e4dcd8d06",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-19T00:19:27Z",
    "title_canon_sha256": "09913c6efd368f0d42f1979eab83246d4ca9512c3f7588c200015a428fea065e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05830",
    "kind": "arxiv",
    "version": 2
  }
}