Pith Number

pith:4P33T2WN

pith:2019:4P33T2WNIMNVLY5ODIX7EICXFM

not attested not anchored not stored refs pending

Steiner's formula and a variational proof of the isoperimetric inequality

Joseph Ansel Hoisington

arxiv:1909.06347 v3 · 2019-09-13 · math.DG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P33T2WNIMNVLY5ODIX7EICXFM}

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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

Buffon Needle Problem Over Convex Sets

Receipt and verification

First computed	2026-07-05T02:06:47.843718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f7b9eacd431b55e3ae1a2ff220572b0b96f700c05558d29cc4fe42295c04c1

Aliases

arxiv: 1909.06347 · arxiv_version: 1909.06347v3 · doi: 10.48550/arxiv.1909.06347 · pith_short_12: 4P33T2WNIMNV · pith_short_16: 4P33T2WNIMNVLY5O · pith_short_8: 4P33T2WN

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/4P33T2WNIMNVLY5ODIX7EICXFM \
  | 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: e3f7b9eacd431b55e3ae1a2ff220572b0b96f700c05558d29cc4fe42295c04c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff2dcbb6cf344f76e0585e65b4567479bf5a9bdce912ca784f1140d47f1a6cf",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-13T17:44:01Z",
    "title_canon_sha256": "b06a671c56dc852344889493175a5dd28389ca3a87d6185623b29b93dddfaee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06347",
    "kind": "arxiv",
    "version": 3
  }
}