Pith Number

pith:Y3JTPIYZ

pith:2020:Y3JTPIYZGCX4CRWM7AFIPYF46Z

not attested not anchored not stored refs pending

High-dimensional ellipsoids converge to Gaussian spaces

Daisuke Kazukawa, Takashi Shioya

arxiv:2003.05105 v1 · 2020-03-11 · math.MG · 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{Y3JTPIYZGCX4CRWM7AFIPYF46Z}

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	2026-07-05T00:47:21.544932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d337a31930afc146ccf80a87e0bcf6503ca9f186a9a99d93671e8553342346

Aliases

arxiv: 2003.05105 · arxiv_version: 2003.05105v1 · doi: 10.48550/arxiv.2003.05105 · pith_short_12: Y3JTPIYZGCX4 · pith_short_16: Y3JTPIYZGCX4CRWM · pith_short_8: Y3JTPIYZ

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/Y3JTPIYZGCX4CRWM7AFIPYF46Z \
  | 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: c6d337a31930afc146ccf80a87e0bcf6503ca9f186a9a99d93671e8553342346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5150f6a9bda10632dfacf3faa11870aaabe4db2edd691624ec126335b058c62",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-03-11T04:09:30Z",
    "title_canon_sha256": "8fbd43d95e1db021f1e5ea9d81659165b142d03036a65bc657ca0742173f0330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.05105",
    "kind": "arxiv",
    "version": 1
  }
}