Pith Number

pith:QCLXNBJU

pith:2017:QCLXNBJUTPO66YFRMV54LEZQOO

not attested not anchored not stored refs pending

The projective ensemble and distribution of points in odd-dimensional spheres

Carlos Beltr\'an, Uju\'e Etayo

arxiv:1703.00416 v1 · 2017-03-01 · math.CA · 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{QCLXNBJUTPO66YFRMV54LEZQOO}

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	2026-05-18T00:49:43.003637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80977685349bddef60b1657bc59330738e201be86a5903f604026626d4ffc7cf

Aliases

arxiv: 1703.00416 · arxiv_version: 1703.00416v1 · doi: 10.48550/arxiv.1703.00416 · pith_short_12: QCLXNBJUTPO6 · pith_short_16: QCLXNBJUTPO66YFR · pith_short_8: QCLXNBJU

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/QCLXNBJUTPO66YFRMV54LEZQOO \
  | 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: 80977685349bddef60b1657bc59330738e201be86a5903f604026626d4ffc7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9855970f166fc00f4ce9ad53df68285f66fafe5c3b7abd71c6a801ea88e4930",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-01T17:59:10Z",
    "title_canon_sha256": "88cfe76c63a2f136c6fc103441d5cc310b40b4ed1d0f46083c9d43102f75eaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00416",
    "kind": "arxiv",
    "version": 1
  }
}