Pith Number

pith:RV66RKVZ

pith:2018:RV66RKVZYMGITRWOE4D67TBRB3

not attested not anchored not stored refs pending

On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set

A. Revent\'os, E. Gallego, J. Cuf\'i

arxiv:1807.09545 v1 · 2018-07-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RV66RKVZYMGITRWOE4D67TBRB3}

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	2026-05-17T23:44:59.320108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d7de8aab9c30c89c6ce2707efcc310ec520793131a6c4f269a69db31faa1c13

Aliases

arxiv: 1807.09545 · arxiv_version: 1807.09545v1 · doi: 10.48550/arxiv.1807.09545 · pith_short_12: RV66RKVZYMGI · pith_short_16: RV66RKVZYMGITRWO · pith_short_8: RV66RKVZ

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/RV66RKVZYMGITRWOE4D67TBRB3 \
  | 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: 8d7de8aab9c30c89c6ce2707efcc310ec520793131a6c4f269a69db31faa1c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332374dfdd6240803adddfde15055f822b39cc3681768933e0bbda9eb7d82ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-25T12:15:59Z",
    "title_canon_sha256": "5dd91541caf8ae3cda06644cd031911cea4f497c888ffda59e3fd0c049cb860a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09545",
    "kind": "arxiv",
    "version": 1
  }
}