Pith Number

pith:XYE7E52S

pith:1998:XYE7E52SDU4F4WUNZ6QOEE6PTY

not attested not anchored not stored refs pending

Elementary solution to the Busemann-Petty problem

Bernard Maurey, Franck Barthe, Matthieu Fradelizi

arxiv:math/9802128 v2 · 1998-02-05 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYE7E52SDU4F4WUNZ6QOEE6PTY}

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	2026-07-04T14:40:27.994553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be09f277521d385e5a8dcfa0e213cf9e222434cb1a5f051e7face52728a196cb

Aliases

arxiv: math/9802128 · arxiv_version: math/9802128v2 · doi: 10.48550/arxiv.math/9802128 · pith_short_12: XYE7E52SDU4F · pith_short_16: XYE7E52SDU4F4WUN · pith_short_8: XYE7E52S

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/XYE7E52SDU4F4WUNZ6QOEE6PTY \
  | 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: be09f277521d385e5a8dcfa0e213cf9e222434cb1a5f051e7face52728a196cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10209a34d0919ae6351395c8f3d3b2c6c3918350a54071c31f6f2013b0b93828",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1998-02-05T00:00:00Z",
    "title_canon_sha256": "1d37ee7b3821cc76dd38871752732ac0a87e92eda2a2a23fb47a789e8e4ba451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802128",
    "kind": "arxiv",
    "version": 2
  }
}