Pith Number

pith:VKAOZPR3

pith:1999:VKAOZPR35R6II7EBFFDNPEPVLS

not attested not anchored not stored refs pending

An analytic solution to the Busemann-Petty problem on sections of convex bodies

Alexander Koldobsky, Richard J. Gardner, Thomas Schlumprecht

arxiv:math/9903200 v1 · 1999-03-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKAOZPR35R6II7EBFFDNPEPVLS}

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	2026-05-18T01:05:33.179293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa80ecbe3bec7c847c812946d791f55cb5d5a7503c0aa0e33d232775b037c193

Aliases

arxiv: math/9903200 · arxiv_version: math/9903200v1 · doi: 10.48550/arxiv.math/9903200 · pith_short_12: VKAOZPR35R6I · pith_short_16: VKAOZPR35R6II7EB · pith_short_8: VKAOZPR3

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/VKAOZPR35R6II7EBFFDNPEPVLS \
  | 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: aa80ecbe3bec7c847c812946d791f55cb5d5a7503c0aa0e33d232775b037c193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5db7ecf04443eb132bad38ec63ac8d6495c50031ffce7a452a15bef08cc6555",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1999-03-01T00:00:00Z",
    "title_canon_sha256": "5f9e2fabbafc28934435fe4626bf054be328cb4f1512e3d88a2ef3e31d046684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903200",
    "kind": "arxiv",
    "version": 1
  }
}