Pith Number

pith:U5OZBSZR

pith:2018:U5OZBSZRVTHIV7PLCBLIYAN4JG

not attested not anchored not stored refs pending

A generalization of the spherical ensemble to even-dimensional spheres

Carlos Beltr\'an, Uju\'e Etayo

arxiv:1806.10535 v1 · 2018-06-27 · 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{U5OZBSZRVTHIV7PLCBLIYAN4JG}

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	2026-05-18T00:12:12.099711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75d90cb31acce8afdeb10568c01bc4993da1eb59a3f7af0a0403cb2e5c5f7d4

Aliases

arxiv: 1806.10535 · arxiv_version: 1806.10535v1 · doi: 10.48550/arxiv.1806.10535 · pith_short_12: U5OZBSZRVTHI · pith_short_16: U5OZBSZRVTHIV7PL · pith_short_8: U5OZBSZR

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/U5OZBSZRVTHIV7PLCBLIYAN4JG \
  | 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: a75d90cb31acce8afdeb10568c01bc4993da1eb59a3f7af0a0403cb2e5c5f7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d287d0f93b4a78e5644c0c672c1d71b382991fab9955dff55a0eceb7ed01370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-27T15:34:56Z",
    "title_canon_sha256": "07763799ec084f09b76c45c6d1eb85b4b2368e8f3773cd4f572efde162697ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10535",
    "kind": "arxiv",
    "version": 1
  }
}