Pith Number

pith:DAFPA4HQ

pith:2018:DAFPA4HQAXK23DAS63GSBMTKBT

not attested not anchored not stored refs pending

Circumspheres of sets of n+1 random points in the d-dimensional Euclidean unit ball (0<n<d+1)

G\'erard Le Ca\"er

arxiv:1803.08484 v1 · 2018-03-22 · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAFPA4HQAXK23DAS63GSBMTKBT}

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	2026-05-18T00:20:22.730769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180af070f005d5ad8c12f6cd20b26a0cca53f0838f5b75f61e3e15c7a90cb5d5

Aliases

arxiv: 1803.08484 · arxiv_version: 1803.08484v1 · doi: 10.48550/arxiv.1803.08484 · pith_short_12: DAFPA4HQAXK2 · pith_short_16: DAFPA4HQAXK23DAS · pith_short_8: DAFPA4HQ

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/DAFPA4HQAXK23DAS63GSBMTKBT \
  | 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: 180af070f005d5ad8c12f6cd20b26a0cca53f0838f5b75f61e3e15c7a90cb5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f2e5027590a7f96dd5ad17d05655f2db9ac758f2c75c8ac123a2b187a315f5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-03-22T17:34:21Z",
    "title_canon_sha256": "170eb20de1238a6f14268254a44819091e1137676c74fe198a61b41a3f0e0e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08484",
    "kind": "arxiv",
    "version": 1
  }
}